DISEO DE ESTRUCTURAL DINMICA

PRESENTADO A:GERARDO SARMIENTO

PRESENTADO POR:DIEGO ALEJANDRO ZAMORAHAMES LOMBANA SARMIENTO

UNIVERSIDAD MINUTO DE DIOSINGENIERA CIVIL25 DE MAYO DE 2015BOGOT D.C.Ejercicio:Un sistema de grado de libertad se somete a una aceleracin en la base como se muestra la figura, obtener la respuesta en trminos de posicin en cualquier tiempo t. determinar por los siguientes mtodos:1. Mtodo de Convolusin2. Mtodo de la aceleracin lineal

Figura [1] Sistema de un grado de libertad

1. MTODO DE CONVOLUSIN

En la siguiente tabla se presentan los datos obtenidos en el ejercicio propuesto y datos calculados por los mismos. El cual se evidencia en la tabla N1 N2.

N1 tabla de los datos del ejercicio problema

tabla N2 Datos calculados a partir del ejercicio problema.

De lo anterior se pudo obtener la siguiente grfica:

Figura [2] grafica de la respuesta obtenida del ejercicio propuesto.

ANLISIS DE RESULTADOS A simple vista se puede observar que la grfica presenta unas oscilaciones durante todo el trascurso de las abscisas pertenecientes al tiempo que va desde 0 a 10segundos, desde luego se presentan unas amplitudes mayores que otras. Luego de este tiempo (t=10) la grfica tiende a cero. La amplitud de la grfica depende directamente de la pendiente que posee la grfica del ejercicio, a medida que la pendiente aumenta la amplitud tambin lo hace y viceversa, de lo anterior se puede decir que la pendiente y la amplitud son directamente proporcional. Los valores mnimos de posicin se encuentran en t=0 y t=10. Por el contrario el valor mximo de posicin se encuentra en t=5 cuando la aceleracin es mayor tambin. La aceleracin depende de la pendiente de la grfica que se encuentra, si la pendiente es positiva la aceleracin aumenta y si por el contrario la pendiente es negativa la aceleracin disminuye. La amplitud de onda no cambia, el cual no depende de los valores que se le suministran al tiempo.

2. METODO DE ACELERACION LINEALEn la siguiente tabla se presentan los datos obtenidos en el ejercicio propuesto y datos calculados por los mismos. El cual se evidencia en la tabla N1 N2.=6,283185498Rad/sega(g)=

m=5KgDuracin=10 seg

K=197,3921N/M=10%

T=1=6,25169064

t(C6)=0,05

(C1)=39,47842(C5)t/2=0,025

(C2)2 + t=3,2305581(C7)t/3=0,00083333

(C3)(t)( + (t/3))=0,06431461(C8)t/6=0,00041667

(C4)1 + t + (t)/6=1,04786527

tabla N2 Datos calculados a partir del ejercicio problema.

ANLISIS DE RESULTADOS- Si observamos y analizamos los datos de aceleracin y fuerza en el trayecto de los 10 segundos vemos que son inversamente proporcionales, mientras la aceleracin aumenta y alcanza su tope en 5 seg, la fuerza disminuye hasta un punto ms bajo en los mismos 5 segundos. Anlisis que nos muestra como el desplazamiento final con el cual se grafica tiene un comportamiento similar a la aceleracin y mas con la fuerza, que como observamos en la grafica de la RESPUESTA OBTENIDA disminuye hasta un tope en 5 segundos y luego aumenta nuevamente a el equilibrio - En el primer trayecto de 5 segundos con pendiente positiva, disminuye como observamos en la grafica lo que nos indica que cuando la pendiente es positiva, inversamente el desplazamiento ser negativo, caso contrario en los restantes 5 segundos que con una pendiente negativa su desplazamiento final ser positivo y que como muestra la grafica llevara hacia el equilibrio. - Podemos concluir igualmente que en 5 segundos cuando es mxima la aceleracin, de igual manera el desplazamiento final ser mximo negativo en este caso. Calculos

t(s)a (m/s)0010.0320.0630.0940.1250.1560.1270.0980.0690.03100

Datos=6.283Rad/sa(g)=0.2gT=1.00st(s)=10st=0.05sm=5KgF=-9.81NK=197.39N/m0.1

NtFCos a tSen a t z = F Cos a t z = F Sen a tCnSnXnt(s)a (m/s)000.0001.0000.0000.0000.0000.00000.00000.00000010.05-0.0740.9510.309-0.070-0.0230.050.001520.1-0.1470.8090.588-0.119-0.086-0.0002-0.00010.00000.10.00330.15-0.2210.5880.809-0.130-0.1790.150.004540.2-0.2940.3090.951-0.091-0.280-0.0006-0.00060.00040.20.00650.25-0.368-0.0001.0000.000-0.3680.250.007560.3-0.441-0.3090.9510.136-0.420-0.0005-0.00170.00150.30.00970.35-0.515-0.5880.8090.303-0.4170.350.010580.4-0.589-0.8090.5880.476-0.3460.0005-0.00290.00290.40.01290.45-0.662-0.9510.3090.630-0.2050.450.0135100.5-0.736-1.000-0.0000.7360.0000.0024-0.00330.00390.50.015110.55-0.809-0.951-0.3090.7700.2500.550.0165120.6-0.883-0.809-0.5880.7140.5190.0045-0.00230.00360.60.018130.65-0.956-0.588-0.8090.5620.7740.650.0195140.7-1.030-0.309-0.9510.3180.9800.00590.00020.00160.70.021150.75-1.1040.000-1.000-0.0001.1040.750.0225160.8-1.1770.309-0.951-0.3641.1200.00560.00355-0.001660.80.024170.85-1.2510.588-0.809-0.7351.0120.850.0255180.9-1.3240.809-0.588-1.0710.7780.00300.0064-0.00520.90.027190.95-1.3980.951-0.309-1.3300.4320.950.0285201-1.4721.0000.000-1.471-0.000-0.00130.0073-0.007310.03211.05-1.5450.9510.309-1.469-0.4771.050.0315221.1-1.6190.8090.588-1.310-0.951-0.00560.0053-0.00681.10.033231.15-1.6920.5880.809-0.995-1.3691.150.0345241.2-1.7660.3090.951-0.546-1.679-0.00830.0008-0.00341.20.036251.25-1.839-0.0001.0000.000-1.8391.250.0375261.3-1.913-0.3090.9510.591-1.819-0.0077-0.00480.00221.30.039271.35-1.987-0.5880.8091.168-1.6071.350.0405281.4-2.060-0.8090.5881.667-1.211-0.0037-0.00940.00781.40.042291.45-2.134-0.9510.3092.029-0.6591.450.0435301.5-2.207-1.000-0.0002.2070.0000.0027-0.01070.01111.50.045311.55-2.281-0.951-0.3092.1690.7051.550.0465321.6-2.354-0.809-0.5881.9051.3840.0091-0.00790.01031.60.048331.65-2.428-0.588-0.8091.4271.9641.650.0495341.7-2.502-0.309-0.9510.7732.3790.0128-0.00140.00531.70.051351.75-2.5750.000-1.000-0.0002.5751.750.0525361.8-2.6490.309-0.951-0.8182.5190.01200.0065-0.00241.80.054371.85-2.7220.588-0.809-1.6002.2021.850.0555381.9-2.7960.809-0.588-2.2621.6430.00640.0127-0.01011.90.057391.95-2.8690.951-0.309-2.7290.8871.950.0585402-2.9431.0000.000-2.943-0.000-0.00230.0146-0.014620.06412.05-3.0170.9510.309-2.869-0.9322.050.0615422.1-3.0900.8090.588-2.500-1.816-0.01080.0108-0.01362.10.063432.15-3.1640.5880.809-1.860-2.5602.150.0645442.2-3.2370.3090.951-1.000-3.079-0.01580.0024-0.00712.20.066452.25-3.311-0.0001.0000.000-3.3112.250.0675462.3-3.384-0.3090.9511.046-3.219-0.0148-0.00780.00292.30.069472.35-3.458-0.5880.8092.033-2.7982.350.0705482.4-3.532-0.8090.5882.857-2.076-0.0077-0.01580.01272.40.072492.45-3.605-0.9510.3093.429-1.1142.450.0735502.5-3.679-1.000-0.0003.6790.0000.0032-0.01820.01832.50.075512.55-3.752-0.951-0.3093.5691.1602.550.0765522.6-3.826-0.809-0.5883.0952.2490.0138-0.01350.01712.60.078532.65-3.899-0.588-0.8092.2923.1552.650.0795542.7-3.973-0.309-0.9511.2283.7790.0199-0.00310.00912.70.081552.75-4.0470.000-1.000-0.0004.0472.750.0825562.8-4.1200.309-0.951-1.2733.9190.01860.0094-0.00322.80.084572.85-4.1940.588-0.809-2.4653.3932.850.0855582.9-4.2670.809-0.588-3.4522.5080.01000.0191-0.01512.90.087592.95-4.3410.951-0.309-4.1281.3412.950.0885603-4.4151.0000.000-4.414-0.000-0.00320.0219-0.021830.09613.05-4.4880.9510.309-4.268-1.3873.050.0915623.1-4.5620.8090.588-3.690-2.681-0.01590.0163-0.02043.10.093633.15-4.6350.5880.809-2.725-3.7503.150.0945643.2-4.7090.3090.951-1.455-4.478-0.02320.0039-0.01093.20.096653.25-4.782-0.0001.0000.000-4.7823.250.0975663.3-4.856-0.3090.9511.501-4.618-0.0217-0.01080.00363.30.099673.35-4.930-0.5880.8092.898-3.9883.350.1005683.4-5.003-0.8090.5884.048-2.941-0.0115-0.02220.01763.40.102693.45-5.077-0.9510.3094.828-1.5693.450.1035703.5-5.150-1.000-0.0005.1500.0000.0039-0.02560.02553.50.105713.55-5.224-0.951-0.3094.9681.6143.550.1065723.6-5.297-0.809-0.5884.2863.1140.0186727084-0.01903840660.02387489323.60.108733.65-5.371-0.588-0.8093.1574.3453.650.1095743.7-5.445-0.309-0.9511.6825.1780.0270513241-0.0046520870.01277984793.70.111753.75-5.5180.000-1.000-0.0005.5183.750.1125763.8-5.5920.309-0.951-1.7285.3180.02532631920.0123715796-0.00394425343.80.114773.85-5.6650.588-0.809-3.3304.5833.850.1155783.9-5.7390.809-0.588-4.6433.3730.01361792440.0254760334-0.02002429383.90.117793.95-5.8120.951-0.309-5.5281.7963.950.1185804-5.8861.0000.000-5.886-0.000-0.00400629920.0292969204-0.029101876240.12814.05-5.9600.9510.309-5.668-1.8424.050.1215824.1-6.0330.8090.588-4.881-3.546-0.02093152770.0218479869-0.02724477254.10.123834.15-6.1070.5880.809-3.589-4.9404.150.1245844.2-6.1800.3090.951-1.910-5.878-0.03047851160.0054808004-0.01462658194.20.126854.25-6.254-0.0001.0000.000-6.2544.250.1275864.3-6.327-0.3090.9511.955-6.018-0.0285375566-0.01382507450.00433484024.30.129874.35-6.401-0.5880.8093.762-5.1794.350.1305884.4-6.475-0.8090.5885.238-3.806-0.0153159595-0.02864227690.02251126164.40.132894.45-6.548-0.9510.3096.228-2.0234.450.1335904.5-6.622-1.000-0.0006.6220.0000.0045364252-0.03295310980.03274303664.50.135914.55-6.695-0.951-0.3096.3682.0694.550.1365924.6-6.769-0.809-0.5885.4763.9790.023549652-0.024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Ejercicio:Un sistma de grado de libertad se somete a una aceleracion en la base como se muestra la figura, obtener la respuesta en terminos de posicion en cualquier tiempo t.

Hoja3

Calculos

t(s)a (m/s)0010.0320.0630.0940.1250.1560.1270.0980.0690.03100

Datos=6.283Rad/sa(g)=0.2gT=1.00st(s)=10st=0.05sm=5KgF=-9.81NK=197.39N/m0.1

NtFCos a tSen a t z = F Cos a t z = F Sen a tCnSnXnt(s)a (m/s)000.0001.0000.0000.0000.0000.00000.00000.00000010.05-0.0740.9510.309-0.070-0.0230.050.001520.1-0.1470.8090.588-0.119-0.086-0.0002-0.00010.00000.10.00330.15-0.2210.5880.809-0.130-0.1790.150.004540.2-0.2940.3090.951-0.091-0.280-0.0006-0.00060.00040.20.00650.25-0.368-0.0001.0000.000-0.3680.250.007560.3-0.441-0.3090.9510.136-0.420-0.0005-0.00170.00150.30.00970.35-0.515-0.5880.8090.303-0.4170.350.010580.4-0.589-0.8090.5880.476-0.3460.0005-0.00290.00290.40.01290.45-0.662-0.9510.3090.630-0.2050.450.0135100.5-0.736-1.000-0.0000.7360.0000.0024-0.00330.00390.50.015110.55-0.809-0.951-0.3090.7700.2500.550.0165120.6-0.883-0.809-0.5880.7140.5190.0045-0.00230.00360.60.018130.65-0.956-0.588-0.8090.5620.7740.650.0195140.7-1.030-0.309-0.9510.3180.9800.00590.00020.00160.70.021150.75-1.1040.000-1.000-0.0001.1040.750.0225160.8-1.1770.309-0.951-0.3641.1200.00560.00355-0.001660.80.024170.85-1.2510.588-0.809-0.7351.0120.850.0255180.9-1.3240.809-0.588-1.0710.7780.00300.0064-0.00520.90.027190.95-1.3980.951-0.309-1.3300.4320.950.0285201-1.4721.0000.000-1.471-0.000-0.00130.0073-0.007310.03211.05-1.5450.9510.309-1.469-0.4771.050.0315221.1-1.6190.8090.588-1.310-0.951-0.00560.0053-0.00681.10.033231.15-1.6920.5880.809-0.995-1.3691.150.0345241.2-1.7660.3090.951-0.546-1.679-0.00830.0008-0.00341.20.036251.25-1.839-0.0001.0000.000-1.8391.250.0375261.3-1.913-0.3090.9510.591-1.819-0.0077-0.00480.00221.30.039271.35-1.987-0.5880.8091.168-1.6071.350.0405281.4-2.060-0.8090.5881.667-1.211-0.0037-0.00940.00781.40.042291.45-2.134-0.9510.3092.029-0.6591.450.0435301.5-2.207-1.000-0.0002.2070.0000.0027-0.01070.01111.50.045311.55-2.281-0.951-0.3092.1690.7051.550.0465321.6-2.354-0.809-0.5881.9051.3840.0091-0.00790.01031.60.048331.65-2.428-0.588-0.8091.4271.9641.650.0495341.7-2.502-0.309-0.9510.7732.3790.0128-0.00140.00531.70.051351.75-2.5750.000-1.000-0.0002.5751.750.0525361.8-2.6490.309-0.951-0.8182.5190.01200.0065-0.00241.80.054371.85-2.7220.588-0.809-1.6002.2021.850.0555381.9-2.7960.809-0.588-2.2621.6430.00640.0127-0.01011.90.057391.95-2.8690.951-0.309-2.7290.8871.950.0585402-2.9431.0000.000-2.943-0.000-0.00230.0146-0.014620.06412.05-3.0170.9510.309-2.869-0.9322.050.0615422.1-3.0900.8090.588-2.500-1.816-0.01080.0108-0.01362.10.063432.15-3.1640.5880.809-1.860-2.5602.150.0645442.2-3.2370.3090.951-1.000-3.079-0.01580.0024-0.00712.20.066452.25-3.311-0.0001.0000.000-3.3112.250.0675462.3-3.384-0.3090.9511.046-3.219-0.0148-0.00780.00292.30.069472.35-3.458-0.5880.8092.033-2.7982.350.0705482.4-3.532-0.8090.5882.857-2.076-0.0077-0.01580.01272.40.072492.45-3.605-0.9510.3093.429-1.1142.450.0735502.5-3.679-1.000-0.0003.6790.0000.0032-0.01820.01832.50.075512.55-3.752-0.951-0.3093.5691.1602.550.0765522.6-3.826-0.809-0.5883.0952.2490.0138-0.01350.01712.60.078532.65-3.899-0.588-0.8092.2923.1552.650.0795542.7-3.973-0.309-0.9511.2283.7790.0199-0.00310.00912.70.081552.75-4.0470.000-1.000-0.0004.0472.750.0825562.8-4.1200.309-0.951-1.2733.9190.01860.0094-0.00322.80.084572.85-4.1940.588-0.809-2.4653.3932.850.0855582.9-4.2670.809-0.588-3.4522.5080.01000.0191-0.01512.90.087592.95-4.3410.951-0.309-4.1281.3412.950.0885603-4.4151.0000.000-4.414-0.000-0.00320.0219-0.021830.09613.05-4.4880.9510.309-4.268-1.3873.050.0915623.1-4.5620.8090.588-3.690-2.681-0.01590.0163-0.02043.10.093633.15-4.6350.5880.809-2.725-3.7503.150.0945643.2-4.7090.3090.951-1.455-4.478-0.02320.0039-0.01093.20.096653.25-4.782-0.0001.0000.000-4.7823.250.0975663.3-4.856-0.3090.9511.501-4.618-0.0217-0.01080.00363.30.099673.35-4.930-0.5880.8092.898-3.9883.350.1005683.4-5.003-0.8090.5884.048-2.941-0.0115-0.02220.01763.40.102693.45-5.077-0.9510.3094.828-1.5693.450.1035703.5-5.150-1.000-0.0005.1500.0000.0039-0.02560.02553.50.105713.55-5.224-0.951-0.3094.9681.6143.550.1065723.6-5.297-0.809-0.5884.2863.1140.0186727084-0.01903840660.02387489323.60.108733.65-5.371-0.588-0.8093.1574.3453.650.1095743.7-5.445-0.309-0.9511.6825.1780.0270513241-0.0046520870.01277984793.70.111753.75-5.5180.000-1.000-0.0005.5183.750.1125763.8-5.5920.309-0.951-1.7285.3180.02532631920.0123715796-0.00394425343.80.114773.85-5.6650.588-0.809-3.3304.5833.850.1155783.9-5.7390.809-0.588-4.6433.3730.01361792440.0254760334-0.02002429383.90.117793.95-5.8120.951-0.309-5.5281.7963.950.1185804-5.8861.0000.000-5.886-0.000-0.00400629920.0292969204-0.029101876240.12814.05-5.9600.9510.309-5.668-1.8424.050.1215824.1-6.0330.8090.588-4.881-3.546-0.02093152770.0218479869-0.02724477254.10.123834.15-6.1070.5880.809-3.589-4.9404.150.1245844.2-6.1800.3090.951-1.910-5.878-0.03047851160.0054808004-0.01462658194.20.126854.25-6.254-0.0001.0000.000-6.2544.250.1275864.3-6.327-0.3090.9511.955-6.018-0.0285375566-0.01382507450.00433484024.30.129874.35-6.401-0.5880.8093.762-5.1794.350.1305884.4-6.475-0.8090.5885.238-3.806-0.0153159595-0.02864227690.02251126164.40.132894.45-6.548-0.9510.3096.228-2.0234.450.1335904.5-6.622-1.000-0.0006.6220.0000.0045364252-0.03295310980.03274303664.50.135914.55-6.695-0.951-0.3096.3682.0694.550.1365924.6-6.769-0.809-0.5885.4763.9790.023549652-0.02458499290.03065660294.60.138934.65-6.842-0.588-0.8094.0225.5364.650.1395944.7-6.916-0.309-0.9512.1376.5780.0342431332-0.00624135660.01651271314.70.141954.75-6.9900.000-1.000-0.0006.9904.750.1425964.8-7.0630.309-0.951-2.1836.7180.03206568860.015342578-0.00468842814.80.144974.85-7.1370.588-0.809-4.1955.7744.850.1455984.9-7.2100.809-0.588-5.8334.2380.01731159990.0318686325-0.02496348244.90.147994.95-7.2840.951-0.309-6.9272.2514.950.14851005-7.3581.0000.000-7.357-0.000-0.00478706090.036665752-0.036351564550.151015.05-7.2840.9510.309-6.927-2.2515.050.14851025.1-7.2100.8090.588-5.833-4.238-0.02549139710.0275602043-0.03408608165.10.1471035.15-7.1370.5880.809-4.195-5.7745.150.14551045.2-7.0630.3090.951-2.183-6.718-0.03662420.0083426654-0.01924670935.20.1441055.25-6.990-0.0001.0000.000-6.9905.250.14251065.3-6.916-0.3090.9512.137-6.578-0.0343485759-0.01336465630.00210211035.30.1411075.35-6.842-0.5880.8094.022-5.5365.350.13951085.4-6.769-0.8090.5885.476-3.979-0.0200231047-0.02931444220.0216966875.40.1381095.45-6.695-0.9510.3096.368-2.0695.450.13651105.5-6.622-1.000-0.0006.6220.0000.0005220159-0.03376396310.03227433115.50.1351115.55-6.548-0.951-0.3096.2282.0245.550.13351125.6-6.475-0.809-0.5885.2383.8060.0193656925-0.02553167630.0302647185.60.1321135.65-6.401-0.588-0.8093.7625.1795.650.13051145.7-6.327-0.309-0.9511.9556.0180.0295654972-0.00824746090.01697596995.70.1291155.75-6.2540.000-1.000-0.0006.2545.750.12751165.8-6.1800.309-0.951-1.9105.8780.02772686590.0112223002-0.00210972115.80.1261175.85-6.1070.588-0.809-3.5894.9405.850.12451185.9-6.0330.809-0.588-4.8813.5460.01512218560.0255012659-0.01958367825.90.1231195.95-5.9600.951-0.309-5.6681.8425.950.12151206-5.8861.0000.000-5.886-0.000-0.00299981940.029500216-0.028984364960.121216.05-5.8120.9510.309-5.528-1.7966.050.11851226.1-5.7390.8090.588-4.643-3.373-0.01957240780.0222240911-0.02718270216.10.1171236.15-5.6650.5880.809-3.330-4.5836.150.11551246.2-5.5920.3090.951-1.728-5.318-0.02845376850.0069510542-0.01539957546.20.1141256.25-5.518-0.0001.0000.000-5.5186.250.11251266.3-5.445-0.3090.9511.682-5.178-0.0266901456-0.00961118290.00089758536.30.1111276.35-5.371-0.5880.8093.157-4.3456.350.10951286.4-5.297-0.8090.5884.286-3.114-0.0154663055-0.02218699280.01632516736.40.1081296.45-5.224-0.9510.3094.968-1.6146.450.10651306.5-5.150-1.000-0.0005.1500.0000.0005518425-0.02570500490.02461862236.50.1051316.55-5.077-0.951-0.3094.8281.5696.550.10351326.6-5.003-0.809-0.5884.0482.9410.015153169-0.01935652320.02309039136.60.1021336.65-4.930-0.588-0.8092.8973.9886.650.10051346.7-4.856-0.309-0.9511.5014.6180.0229976618-0.00606788170.01287438176.70.0991356.75-4.7820.000-1.000-0.0004.7826.750.09751366.8-4.7090.309-0.951-1.4554.4780.02157348460.0088056802-0.00171182736.80.0961376.85-4.6350.588-0.809-2.7253.7506.850.09451386.9-4.5620.809-0.588-3.6902.6810.01197882570.0196292978-0.01496969126.90.0931396.95-4.4880.951-0.309-4.2681.3876.950.09151407-4.4151.0000.000-4.414-0.000-0.00170224070.0226203203-0.022040079570.091417.05-4.3410.9510.309-4.128-1.3417.050.08851427.1-4.2670.8090.588-3.452-2.508-0.01411327680.0171562333-0.02067649627.10.0871437.15-4.1940.5880.809-2.465-3.3937.150.08551447.2-4.1200.3090.951-1.273-3.919-0.02071520560.0058113711-0.0119254417.20.0841457.25-4.047-0.0001.0000.000-4.0477.250.08251467.3-3.973-0.3090.9511.228-3.779-0.0194372984-0.00681481170.00047809517.30.0811477.35-3.899-0.5880.8092.292-3.1557.350.07951487.4-3.826-0.8090.5883.095-2.249-0.0112904034-0.0159583890.01169089877.40.0781497.45-3.752-0.9510.3093.569-1.1607.450.07651507.5-3.679-1.000-0.0003.6790.0000.0002239562-0.01849018230.01765529057.50.0751517.55-3.605-0.951-0.3093.4291.1147.550.07351527.6-3.532-0.809-0.5882.8572.0760.0106047066-0.01397412580.01656629927.60.0721537.65-3.458-0.588-0.8092.0332.7987.650.07051547.7-3.384-0.309-0.9511.0463.2190.0161143371-0.00463280510.00938345057.70.0691557.75-3.3110.000-1.000-0.0003.3117.750.06751567.8-3.2370.309-0.951-1.0003.0790.01512381910.0056898744-0.00074044587.80.0661577.85-3.1640.588-0.809-1.8602.5607.850.06451587.9-3.0900.809-0.588-2.5001.8160.00855721740.0131007034-0.00981712457.90.0631597.95-3.0170.951-0.309-2.8690.9327.950.06151608-2.9431.0000.000-2.943-0.000-0.00066597320.0151237681-0.014589998580.061618.05-2.8690.9510.309-2.729-0.8878.050.05851628.1-2.7960.8090.588-2.262-1.643-0.00889955180.0115092556-0.01369528368.10.0571638.15-2.7220.5880.809-1.600-2.2028.150.05551648.2-2.6490.3090.951-0.818-2.519-0.01320711260.0041278194-0.00800521438.20.0541658.25-2.575-0.0001.0000.000-2.5758.250.05251668.3-2.502-0.3090.9510.773-2.379-0.0124008944-0.0039323567-0.00009012178.30.0511678.35-2.428-0.5880.8091.427-1.9648.350.04951688.4-2.354-0.8090.5881.905-1.384-0.0073177713-0.00964894210.00691695688.40.0481698.45-2.281-0.9510.3092.169-0.7058.450.04651708.5-2.207-1.000-0.0002.2070.000-0.0002948278-0.01119943920.01056078868.50.0451718.55-2.134-0.951-0.3092.0290.6598.550.04351728.6-2.060-0.809-0.5881.6671.2110.0058769668-0.00852043080.00991902298.60.0421738.65-1.987-0.588-0.8091.1681.6078.650.04051748.7-1.913-0.309-0.9510.5911.8190.0090626487-0.00313077160.00577683458.70.0391758.75-1.8390.000-1.000-0.0001.8398.750.03751768.8-1.7660.309-0.951-0.5461.6790.00851603970.00263694990.00012229298.80.0361778.85-1.6920.588-0.809-0.9951.3698.850.03451788.9-1.6190.809-0.588-1.3100.9510.00498712080.0066311638-0.00476658828.90.0331798.95-1.5450.951-0.309-1.4690.4778.950.03151809-1.4721.0000.000-1.471-0.0000.00023084480.0076826777-0.007235738790.031819.05-1.3980.9510.309-1.330-0.4329.050.02851829.1-1.3240.8090.588-1.071-0.778-0.00381678870.0059143656-0.00680406149.10.0271839.15-1.2510.5880.809-0.735-1.0129.150.02551849.2-1.1770.3090.951-0.364-1.120-0.00582201140.0024931857-0.00416950189.20.0241859.25-1.104-0.0001.0000.000-1.1049.250.02251869.3-1.030-0.3090.9510.318-0.980-0.0054799975-0.0010039612-0.0007377099.30.0211879.35-0.956-0.5880.8090.562-0.7749.350.01951889.4-0.883-0.8090.5880.714-0.519-0.0034536169-0.00329635210.00206847629.40.0181899.45-0.809-0.9510.3090.770-0.2509.450.01651909.5-0.736-1.000-0.0000.7360.000-0.0009154872-0.00386818060.00339628639.50.0151919.55-0.662-0.951-0.3090.6300.2059.550.01351929.6-0.589-0.809-0.5880.4760.3460.0010535532-0.0030286880.00320600879.60.0121939.65-0.515-0.588-0.8090.3030.4179.650.01051949.7-0.441-0.309-0.9510.1360.4200.0019211113-0.00159300730.00210848349.70.0091959.75-0.3680.000-1.000-0.0000.3689.750.00751969.8-0.2940.309-0.951-0.0910.2800.0018238821-0.00038241860.00092705489.80.0061979.85-0.2210.588-0.809-0.1300.1799.850.00451989.9-0.1470.809-0.588-0.1190.0860.00133778340.00019313870.00022949989.90.0031999.95-0.0740.951-0.309-0.0700.0239.950.0015200100.0001.0000.0000.0000.0000.00105324570.00027118520.000067385510020110.050.0000.9510.3090.0000.00010.05020210.10.0000.8090.5880.0000.0000.0009891360.00025467850.000063283910.1020310.150.0000.5880.8090.0000.00010.15020410.20.0000.3090.9510.0000.0000.00092892860.00023917650.000059431910.2020510.250.000-0.0001.0000.0000.00010.25020610.30.000-0.3090.9510.0000.0000.00087238590.00022461810.000055814310.3020710.350.000-0.5880.8090.0000.00010.35020810.40.000-0.8090.5880.0000.0000.00081928490.00021094590.00005241710.4020910.450.000-0.9510.3090.0000.00010.45021010.50.000-1.000-0.0000.0000.0000.0007694160.00019810590.000049226410.5021110.550.000-0.951-0.3090.0000.00010.55021210.60.000-0.809-0.5880.0000.0000.00072258270.00018604750.000046230110.6021310.650.000-0.588-0.8090.0000.00010.65021410.70.000-0.309-0.9510.0000.0000.00067860.0001747230.000043416110.7021510.750.0000.000-1.0000.0000.00010.75021610.80.0000.309-0.9510.0000.0000.00063729450.00016408780.000040773410.8021710.850.0000.588-0.8090.0000.00010.85021810.90.0000.809-0.5880.0000.0000.00059850320.00015410.000038291610.9021910.950.0000.951-0.3090.0000.00010.950220110.0001.0000.0000.0000.0000.00056207310.00014472010.0000359608110

Ejercicio:Un sistma de grado de libertad se somete a una aceleracion en la base como se muestra la figura, obtener la respuesta en terminos de posicion en cualquier tiempo t.

Hoja3

Calculos

t(s)a (m/s)0010.0320.0630.0940.1250.1560.1270.0980.0690.03100

Datos=6.283Rad/sa(g)=0.2gT=1.00st(s)=10st=0.05sm=5KgF=-9.81NK=197.39N/m0.1

NtFCos a tSen a t z = F Cos a t z = F Sen a tCnSnXnt(s)a (m/s)000.0001.0000.0000.0000.0000.00000.00000.00000010.05-0.0740.9510.309-0.070-0.0230.050.001520.1-0.1470.8090.588-0.119-0.086-0.0002-0.00010.00000.10.00330.15-0.2210.5880.809-0.130-0.1790.150.004540.2-0.2940.3090.951-0.091-0.280-0.0006-0.00060.00040.20.00650.25-0.368-0.0001.0000.000-0.3680.250.007560.3-0.441-0.3090.9510.136-0.420-0.0005-0.00170.00150.30.00970.35-0.515-0.5880.8090.303-0.4170.350.010580.4-0.589-0.8090.5880.476-0.3460.0005-0.00290.00290.40.01290.45-0.662-0.9510.3090.630-0.2050.450.0135100.5-0.736-1.000-0.0000.7360.0000.0024-0.00330.00390.50.015110.55-0.809-0.951-0.3090.7700.2500.550.0165120.6-0.883-0.809-0.5880.7140.5190.0045-0.00230.00360.60.018130.65-0.956-0.588-0.8090.5620.7740.650.0195140.7-1.030-0.309-0.9510.3180.9800.00590.00020.00160.70.021150.75-1.1040.000-1.000-0.0001.1040.750.0225160.8-1.1770.309-0.951-0.3641.1200.00560.00355-0.001660.80.024170.85-1.2510.588-0.809-0.7351.0120.850.0255180.9-1.3240.809-0.588-1.0710.7780.00300.0064-0.00520.90.027190.95-1.3980.951-0.309-1.3300.4320.950.0285201-1.4721.0000.000-1.471-0.000-0.00130.0073-0.007310.03211.05-1.5450.9510.309-1.469-0.4771.050.0315221.1-1.6190.8090.588-1.310-0.951-0.00560.0053-0.00681.10.033231.15-1.6920.5880.809-0.995-1.3691.150.0345241.2-1.7660.3090.951-0.546-1.679-0.00830.0008-0.00341.20.036251.25-1.839-0.0001.0000.000-1.8391.250.0375261.3-1.913-0.3090.9510.591-1.819-0.0077-0.00480.00221.30.039271.35-1.987-0.5880.8091.168-1.6071.350.0405281.4-2.060-0.8090.5881.667-1.211-0.0037-0.00940.00781.40.042291.45-2.134-0.9510.3092.029-0.6591.450.0435301.5-2.207-1.000-0.0002.2070.0000.0027-0.01070.01111.50.045311.55-2.281-0.951-0.3092.1690.7051.550.0465321.6-2.354-0.809-0.5881.9051.3840.0091-0.00790.01031.60.048331.65-2.428-0.588-0.8091.4271.9641.650.0495341.7-2.502-0.309-0.9510.7732.3790.0128-0.00140.00531.70.051351.75-2.5750.000-1.000-0.0002.5751.750.0525361.8-2.6490.309-0.951-0.8182.5190.01200.0065-0.00241.80.054371.85-2.7220.588-0.809-1.6002.2021.850.0555381.9-2.7960.809-0.588-2.2621.6430.00640.0127-0.01011.90.057391.95-2.8690.951-0.309-2.7290.8871.950.0585402-2.9431.0000.000-2.943-0.000-0.00230.0146-0.014620.06412.05-3.0170.9510.309-2.869-0.9322.050.0615422.1-3.0900.8090.588-2.500-1.816-0.01080.0108-0.01362.10.063432.15-3.1640.5880.809-1.860-2.5602.150.0645442.2-3.2370.3090.951-1.000-3.079-0.01580.0024-0.00712.20.066452.25-3.311-0.0001.0000.000-3.3112.250.0675462.3-3.384-0.3090.9511.046-3.219-0.0148-0.00780.00292.30.069472.35-3.458-0.5880.8092.033-2.7982.350.0705482.4-3.532-0.8090.5882.857-2.076-0.0077-0.01580.01272.40.072492.45-3.605-0.9510.3093.429-1.1142.450.0735502.5-3.679-1.000-0.0003.6790.0000.0032-0.01820.01832.50.075512.55-3.752-0.951-0.3093.5691.1602.550.0765522.6-3.826-0.809-0.5883.0952.2490.0138-0.01350.01712.60.078532.65-3.899-0.588-0.8092.2923.1552.650.0795542.7-3.973-0.309-0.9511.2283.7790.0199-0.00310.00912.70.081552.75-4.0470.000-1.000-0.0004.0472.750.0825562.8-4.1200.309-0.951-1.2733.9190.01860.0094-0.00322.80.084572.85-4.1940.588-0.809-2.4653.3932.850.0855582.9-4.2670.809-0.588-3.4522.5080.01000.0191-0.01512.90.087592.95-4.3410.951-0.309-4.1281.3412.950.0885603-4.4151.0000.000-4.414-0.000-0.00320.0219-0.021830.09613.05-4.4880.9510.309-4.268-1.3873.050.0915623.1-4.5620.8090.588-3.690-2.681-0.01590.0163-0.02043.10.093633.15-4.6350.5880.809-2.725-3.7503.150.0945643.2-4.7090.3090.951-1.455-4.478-0.02320.0039-0.01093.20.096653.25-4.782-0.0001.0000.000-4.7823.250.0975663.3-4.856-0.3090.9511.501-4.618-0.0217-0.01080.00363.30.099673.35-4.930-0.5880.8092.898-3.9883.350.1005683.4-5.003-0.8090.5884.048-2.941-0.0115-0.02220.01763.40.102693.45-5.077-0.9510.3094.828-1.5693.450.1035703.5-5.150-1.000-0.0005.1500.0000.0039-0.02560.02553.50.105713.55-5.224-0.951-0.3094.9681.6143.550.1065723.6-5.297-0.809-0.5884.2863.1140.0186727084-0.01903840660.02387489323.60.108733.65-5.371-0.588-0.8093.1574.3453.650.1095743.7-5.445-0.309-0.9511.6825.1780.0270513241-0.0046520870.01277984793.70.111753.75-5.5180.000-1.000-0.0005.5183.750.1125763.8-5.5920.309-0.951-1.7285.3180.02532631920.0123715796-0.00394425343.80.114773.85-5.6650.588-0.809-3.3304.5833.850.1155783.9-5.7390.809-0.588-4.6433.3730.01361792440.0254760334-0.02002429383.90.117793.95-5.8120.951-0.309-5.5281.7963.950.1185804-5.8861.0000.000-5.886-0.000-0.00400629920.0292969204-0.029101876240.12814.05-5.9600.9510.309-5.668-1.8424.050.1215824.1-6.0330.8090.588-4.881-3.546-0.02093152770.0218479869-0.02724477254.10.123834.15-6.1070.5880.809-3.589-4.9404.150.1245844.2-6.1800.3090.951-1.910-5.878-0.03047851160.0054808004-0.01462658194.20.126854.25-6.254-0.0001.0000.000-6.2544.250.1275864.3-6.327-0.3090.9511.955-6.018-0.0285375566-0.01382507450.00433484024.30.129874.35-6.401-0.5880.8093.762-5.1794.350.1305884.4-6.475-0.8090.5885.238-3.806-0.0153159595-0.02864227690.02251126164.40.132894.45-6.548-0.9510.3096.228-2.0234.450.1335904.5-6.622-1.000-0.0006.6220.0000.0045364252-0.03295310980.03274303664.50.135914.55-6.695-0.951-0.3096.3682.0694.550.1365924.6-6.769-0.809-0.5885.4763.9790.023549652-0.02458499290.03065660294.60.138934.65-6.842-0.588-0.8094.0225.5364.650.1395944.7-6.916-0.309-0.9512.1376.5780.0342431332-0.00624135660.01651271314.70.141954.75-6.9900.000-1.000-0.0006.9904.750.1425964.8-7.0630.309-0.951-2.1836.7180.03206568860.015342578-0.00468842814.80.144974.85-7.1370.588-0.809-4.1955.7744.850.1455984.9-7.2100.809-0.588-5.8334.2380.01731159990.0318686325-0.02496348244.90.147994.95-7.2840.951-0.309-6.9272.2514.950.14851005-7.3581.0000.000-7.357-0.000-0.00478706090.036665752-0.036351564550.151015.05-7.2840.9510.309-6.927-2.2515.050.14851025.1-7.2100.8090.588-5.833-4.238-0.02549139710.0275602043-0.03408608165.10.1471035.15-7.1370.5880.809-4.195-5.7745.150.14551045.2-7.0630.3090.951-2.183-6.718-0.03662420.0083426654-0.01924670935.20.1441055.25-6.990-0.0001.0000.000-6.9905.250.14251065.3-6.916-0.3090.9512.137-6.578-0.0343485759-0.01336465630.00210211035.30.1411075.35-6.842-0.5880.8094.022-5.5365.350.13951085.4-6.769-0.8090.5885.476-3.979-0.0200231047-0.02931444220.0216966875.40.1381095.45-6.695-0.9510.3096.368-2.0695.450.13651105.5-6.622-1.000-0.0006.6220.0000.0005220159-0.03376396310.03227433115.50.1351115.55-6.548-0.951-0.3096.2282.0245.550.13351125.6-6.475-0.809-0.5885.2383.8060.0193656925-0.02553167630.0302647185.60.1321135.65-6.401-0.588-0.8093.7625.1795.650.13051145.7-6.327-0.309-0.9511.9556.0180.0295654972-0.00824746090.01697596995.70.1291155.75-6.2540.000-1.000-0.0006.2545.750.12751165.8-6.1800.309-0.951-1.9105.8780.02772686590.0112223002-0.00210972115.80.1261175.85-6.1070.588-0.809-3.5894.9405.850.12451185.9-6.0330.809-0.588-4.8813.5460.01512218560.0255012659-0.01958367825.90.1231195.95-5.9600.951-0.309-5.6681.8425.950.12151206-5.8861.0000.000-5.886-0.000-0.00299981940.029500216-0.028984364960.121216.05-5.8120.9510.309-5.528-1.7966.050.11851226.1-5.7390.8090.588-4.643-3.373-0.01957240780.0222240911-0.02718270216.10.1171236.15-5.6650.5880.809-3.330-4.5836.150.11551246.2-5.5920.3090.951-1.728-5.318-0.02845376850.0069510542-0.01539957546.20.1141256.25-5.518-0.0001.0000.000-5.5186.250.11251266.3-5.445-0.3090.9511.682-5.178-0.0266901456-0.00961118290.00089758536.30.1111276.35-5.371-0.5880.8093.157-4.3456.350.10951286.4-5.297-0.8090.5884.286-3.114-0.0154663055-0.02218699280.01632516736.40.1081296.45-5.224-0.9510.3094.968-1.6146.450.10651306.5-5.150-1.000-0.0005.1500.0000.0005518425-0.02570500490.02461862236.50.1051316.55-5.077-0.951-0.3094.8281.5696.550.10351326.6-5.003-0.809-0.5884.0482.9410.015153169-0.01935652320.02309039136.60.1021336.65-4.930-0.588-0.8092.8973.9886.650.10051346.7-4.856-0.309-0.9511.5014.6180.0229976618-0.00606788170.01287438176.70.0991356.75-4.7820.000-1.000-0.0004.7826.750.09751366.8-4.7090.309-0.951-1.4554.4780.02157348460.0088056802-0.00171182736.80.0961376.85-4.6350.588-0.809-2.7253.7506.850.09451386.9-4.5620.809-0.588-3.6902.6810.01197882570.0196292978-0.01496969126.90.0931396.95-4.4880.951-0.309-4.2681.3876.950.09151407-4.4151.0000.000-4.414-0.000-0.00170224070.0226203203-0.022040079570.091417.05-4.3410.9510.309-4.128-1.3417.050.08851427.1-4.2670.8090.588-3.452-2.508-0.01411327680.0171562333-0.02067649627.10.0871437.15-4.1940.5880.809-2.465-3.3937.150.08551447.2-4.1200.3090.951-1.273-3.919-0.02071520560.0058113711-0.0119254417.20.0841457.25-4.047-0.0001.0000.000-4.0477.250.08251467.3-3.973-0.3090.9511.228-3.779-0.0194372984-0.00681481170.00047809517.30.0811477.35-3.899-0.5880.8092.292-3.1557.350.07951487.4-3.826-0.8090.5883.095-2.249-0.0112904034-0.0159583890.01169089877.40.0781497.45-3.752-0.9510.3093.569-1.1607.450.07651507.5-3.679-1.000-0.0003.6790.0000.0002239562-0.01849018230.01765529057.50.0751517.55-3.605-0.951-0.3093.4291.1147.550.07351527.6-3.532-0.809-0.5882.8572.0760.0106047066-0.01397412580.01656629927.60.0721537.65-3.458-0.588-0.8092.0332.7987.650.07051547.7-3.384-0.309-0.9511.0463.2190.0161143371-0.00463280510.00938345057.70.0691557.75-3.3110.000-1.000-0.0003.3117.750.06751567.8-3.2370.309-0.951-1.0003.0790.01512381910.0056898744-0.00074044587.80.0661577.85-3.1640.588-0.809-1.8602.5607.850.06451587.9-3.0900.809-0.588-2.5001.8160.00855721740.0131007034-0.00981712457.90.0631597.95-3.0170.951-0.309-2.8690.9327.950.06151608-2.9431.0000.000-2.943-0.000-0.00066597320.0151237681-0.014589998580.061618.05-2.8690.9510.309-2.729-0.8878.050.05851628.1-2.7960.8090.588-2.262-1.643-0.00889955180.0115092556-0.01369528368.10.0571638.15-2.7220.5880.809-1.600-2.2028.150.05551648.2-2.6490.3090.951-0.818-2.519-0.01320711260.0041278194-0.00800521438.20.0541658.25-2.575-0.0001.0000.000-2.5758.250.05251668.3-2.502-0.3090.9510.773-2.379-0.0124008944-0.0039323567-0.00009012178.30.0511678.35-2.428-0.5880.8091.427-1.9648.350.04951688.4-2.354-0.8090.5881.905-1.384-0.0073177713-0.00964894210.00691695688.40.0481698.45-2.281-0.9510.3092.169-0.7058.450.04651708.5-2.207-1.000-0.0002.2070.000-0.0002948278-0.01119943920.01056078868.50.0451718.55-2.134-0.951-0.3092.0290.6598.550.04351728.6-2.060-0.809-0.5881.6671.2110.0058769668-0.00852043080.00991902298.60.0421738.65-1.987-0.588-0.8091.1681.6078.650.04051748.7-1.913-0.309-0.9510.5911.8190.0090626487-0.00313077160.00577683458.70.0391758.75-1.8390.000-1.000-0.0001.8398.750.03751768.8-1.7660.309-0.951-0.5461.6790.00851603970.00263694990.00012229298.80.0361778.85-1.6920.588-0.809-0.9951.3698.850.03451788.9-1.6190.809-0.588-1.3100.9510.00498712080.0066311638-0.00476658828.90.0331798.95-1.5450.951-0.309-1.4690.4778.950.03151809-1.4721.0000.000-1.471-0.0000.00023084480.0076826777-0.007235738790.031819.05-1.3980.9510.309-1.330-0.4329.050.02851829.1-1.3240.8090.588-1.071-0.778-0.00381678870.0059143656-0.00680406149.10.0271839.15-1.2510.5880.809-0.735-1.0129.150.02551849.2-1.1770.3090.951-0.364-1.120-0.00582201140.0024931857-0.00416950189.20.0241859.25-1.104-0.0001.0000.000-1.1049.250.02251869.3-1.030-0.3090.9510.318-0.980-0.0054799975-0.0010039612-0.0007377099.30.0211879.35-0.956-0.5880.8090.562-0.7749.350.01951889.4-0.883-0.8090.5880.714-0.519-0.0034536169-0.00329635210.00206847629.40.0181899.45-0.809-0.9510.3090.770-0.2509.450.01651909.5-0.736-1.000-0.0000.7360.000-0.0009154872-0.00386818060.00339628639.50.0151919.55-0.662-0.951-0.3090.6300.2059.550.01351929.6-0.589-0.809-0.5880.4760.3460.0010535532-0.0030286880.00320600879.60.0121939.65-0.515-0.588-0.8090.3030.4179.650.01051949.7-0.441-0.309-0.9510.1360.4200.0019211113-0.00159300730.00210848349.70.0091959.75-0.3680.000-1.000-0.0000.3689.750.00751969.8-0.2940.309-0.951-0.0910.2800.0018238821-0.00038241860.00092705489.80.0061979.85-0.2210.588-0.809-0.1300.1799.850.00451989.9-0.1470.809-0.588-0.1190.0860.00133778340.00019313870.00022949989.90.0031999.95-0.0740.951-0.309-0.0700.0239.950.0015200100.0001.0000.0000.0000.0000.00105324570.00027118520.000067385510020110.050.0000.9510.3090.0000.00010.05020210.10.0000.8090.5880.0000.0000.0009891360.00025467850.000063283910.1020310.150.0000.5880.8090.0000.00010.15020410.20.0000.3090.9510.0000.0000.00092892860.00023917650.000059431910.2020510.250.000-0.0001.0000.0000.00010.25020610.30.000-0.3090.9510.0000.0000.00087238590.00022461810.000055814310.3020710.350.000-0.5880.8090.0000.00010.35020810.40.000-0.8090.5880.0000.0000.00081928490.00021094590.00005241710.4020910.450.000-0.9510.3090.0000.00010.45021010.50.000-1.000-0.0000.0000.0000.0007694160.00019810590.000049226410.5021110.550.000-0.951-0.3090.0000.00010.55021210.60.000-0.809-0.5880.0000.0000.00072258270.00018604750.000046230110.6021310.650.000-0.588-0.8090.0000.00010.65021410.70.000-0.309-0.9510.0000.0000.00067860.0001747230.000043416110.7021510.750.0000.000-1.0000.0000.00010.75021610.80.0000.309-0.9510.0000.0000.00063729450.00016408780.000040773410.8021710.850.0000.588-0.8090.0000.00010.85021810.90.0000.809-0.5880.0000.0000.00059850320.00015410.000038291610.9021910.950.0000.951-0.3090.0000.00010.950220110.0001.0000.0000.0000.0000.00056207310.00014472010.0000359608110

Ejercicio:Un sistma de grado de libertad se somete a una aceleracion en la base como se muestra la figura, obtener la respuesta en terminos de posicion en cualquier tiempo t.

Hoja3

Calculos

t(s)a (m/s)0010.0320.0630.0940.1250.1560.1270.0980.0690.03100

Datos=6.283Rad/sa(g)=0.2gT=1.00st(s)=10st=0.05sm=5KgF=-9.81NK=197.39N/m0.1

NtFCos a tSen a t z = F Cos a t z = F Sen a tCnSnXnt(s)a (m/s)000.0001.0000.0000.0000.0000.00000.00000.00000010.05-0.0740.9510.309-0.070-0.0230.050.001520.1-0.1470.8090.588-0.119-0.086-0.0002-0.00010.00000.10.00330.15-0.2210.5880.809-0.130-0.1790.150.004540.2-0.2940.3090.951-0.091-0.280-0.0006-0.00060.00040.20.00650.25-0.368-0.0001.0000.000-0.3680.250.007560.3-0.441-0.3090.9510.136-0.420-0.0005-0.00170.00150.30.00970.35-0.515-0.5880.8090.303-0.4170.350.010580.4-0.589-0.8090.5880.476-0.3460.0005-0.00290.00290.40.01290.45-0.662-0.9510.3090.630-0.2050.450.0135100.5-0.736-1.000-0.0000.7360.0000.0024-0.00330.00390.50.015110.55-0.809-0.951-0.3090.7700.2500.550.0165120.6-0.883-0.809-0.5880.7140.5190.0045-0.00230.00360.60.018130.65-0.956-0.588-0.8090.5620.7740.650.0195140.7-1.030-0.309-0.9510.3180.9800.00590.00020.00160.70.021150.75-1.1040.000-1.000-0.0001.1040.750.0225160.8-1.1770.309-0.951-0.3641.1200.00560.00355-0.001660.80.024170.85-1.2510.588-0.809-0.7351.0120.850.0255180.9-1.3240.809-0.588-1.0710.7780.00300.0064-0.00520.90.027190.95-1.3980.951-0.309-1.3300.4320.950.0285201-1.4721.0000.000-1.471-0.000-0.00130.0073-0.007310.03211.05-1.5450.9510.309-1.469-0.4771.050.0315221.1-1.6190.8090.588-1.310-0.951-0.00560.0053-0.00681.10.033231.15-1.6920.5880.809-0.995-1.3691.150.0345241.2-1.7660.3090.951-0.546-1.679-0.00830.0008-0.00341.20.036251.25-1.839-0.0001.0000.000-1.8391.250.0375261.3-1.913-0.3090.9510.591-1.819-0.0077-0.00480.00221.30.039271.35-1.987-0.5880.8091.168-1.6071.350.0405281.4-2.060-0.8090.5881.667-1.211-0.0037-0.00940.00781.40.042291.45-2.134-0.9510.3092.029-0.6591.450.0435301.5-2.207-1.000-0.0002.2070.0000.0027-0.01070.01111.50.045311.55-2.281-0.951-0.3092.1690.7051.550.0465321.6-2.354-0.809-0.5881.9051.3840.0091-0.00790.01031.60.048331.65-2.428-0.588-0.8091.4271.9641.650.0495341.7-2.502-0.309-0.9510.7732.3790.0128-0.00140.00531.70.051351.75-2.5750.000-1.000-0.0002.5751.750.0525361.8-2.6490.309-0.951-0.8182.5190.01200.0065-0.00241.80.054371.85-2.7220.588-0.809-1.6002.2021.850.0555381.9-2.7960.809-0.588-2.2621.6430.00640.0127-0.01011.90.057391.95-2.8690.951-0.309-2.7290.8871.950.0585402-2.9431.0000.000-2.943-0.000-0.00230.0146-0.014620.06412.05-3.0170.9510.309-2.869-0.9322.050.0615422.1-3.0900.8090.588-2.500-1.816-0.01080.0108-0.01362.10.063432.15-3.1640.5880.809-1.860-2.5602.150.0645442.2-3.2370.3090.951-1.000-3.079-0.01580.0024-0.00712.20.066452.25-3.311-0.0001.0000.000-3.3112.250.0675462.3-3.384-0.3090.9511.046-3.219-0.0148-0.00780.00292.30.069472.35-3.458-0.5880.8092.033-2.7982.350.0705482.4-3.532-0.8090.5882.857-2.076-0.0077-0.01580.01272.40.072492.45-3.605-0.9510.3093.429-1.1142.450.0735502.5-3.679-1.000-0.0003.6790.0000.0032-0.01820.01832.50.075512.55-3.752-0.951-0.3093.5691.1602.550.0765522.6-3.826-0.809-0.5883.0952.2490.0138-0.01350.01712.60.078532.65-3.899-0.588-0.8092.2923.1552.650.0795542.7-3.973-0.309-0.9511.2283.7790.0199-0.00310.00912.70.081552.75-4.0470.000-1.000-0.0004.0472.750.0825562.8-4.1200.309-0.951-1.2733.9190.01860.0094-0.00322.80.084572.85-4.1940.588-0.809-2.4653.3932.850.0855582.9-4.2670.809-0.588-3.4522.5080.01000.0191-0.01512.90.087592.95-4.3410.951-0.309-4.1281.3412.950.0885603-4.4151.0000.000-4.414-0.000-0.00320.0219-0.021830.09613.05-4.4880.9510.309-4.268-1.3873.050.0915623.1-4.5620.8090.588-3.690-2.681-0.01590.0163-0.02043.10.093633.15-4.6350.5880.809-2.725-3.7503.150.0945643.2-4.7090.3090.951-1.455-4.478-0.02320.0039-0.01093.20.096653.25-4.782-0.0001.0000.000-4.7823.250.0975663.3-4.856-0.3090.9511.501-4.618-0.0217-0.01080.00363.30.099673.35-4.930-0.5880.8092.898-3.9883.350.1005683.4-5.003-0.8090.5884.048-2.941-0.0115-0.02220.01763.40.102693.45-5.077-0.9510.3094.828-1.5693.450.1035703.5-5.150-1.000-0.0005.1500.0000.0039-0.02560.02553.50.105713.55-5.224-0.951-0.3094.9681.6143.550.1065723.6-5.297-0.809-0.5884.2863.1140.0186727084-0.01903840660.02387489323.60.108733.65-5.371-0.588-0.8093.1574.3453.650.1095743.7-5.445-0.309-0.9511.6825.1780.0270513241-0.0046520870.01277984793.70.111753.75-5.5180.000-1.000-0.0005.5183.750.1125763.8-5.5920.309-0.951-1.7285.3180.02532631920.0123715796-0.00394425343.80.114773.85-5.6650.588-0.809-3.3304.5833.850.1155783.9-5.7390.809-0.588-4.6433.3730.01361792440.0254760334-0.02002429383.90.117793.95-5.8120.951-0.309-5.5281.7963.950.1185804-5.8861.0000.000-5.886-0.000-0.00400629920.0292969204-0.029101876240.12814.05-5.9600.9510.309-5.668-1.8424.050.1215824.1-6.0330.8090.588-4.881-3.546-0.02093152770.0218479869-0.02724477254.10.123834.15-6.1070.5880.809-3.589-4.9404.150.1245844.2-6.1800.3090.951-1.910-5.878-0.03047851160.0054808004-0.01462658194.20.126854.25-6.254-0.0001.0000.000-6.2544.250.1275864.3-6.327-0.3090.9511.955-6.018-0.0285375566-0.01382507450.00433484024.30.129874.35-6.401-0.5880.8093.762-5.1794.350.1305884.4-6.475-0.8090.5885.238-3.806-0.0153159595-0.02864227690.02251126164.40.132894.45-6.548-0.9510.3096.228-2.0234.450.1335904.5-6.622-1.000-0.0006.6220.0000.0045364252-0.03295310980.03274303664.50.135914.55-6.695-0.951-0.3096.3682.0694.550.1365924.6-6.769-0.809-0.5885.4763.9790.023549652-0.02458499290.03065660294.60.138934.65-6.842-0.588-0.8094.0225.5364.650.1395944.7-6.916-0.309-0.9512.1376.5780.0342431332-0.00624135660.01651271314.70.141954.75-6.9900.000-1.000-0.0006.9904.750.1425964.8-7.0630.309-0.951-2.1836.7180.03206568860.015342578-0.00468842814.80.144974.85-7.1370.588-0.809-4.1955.7744.850.1455984.9-7.2100.809-0.588-5.8334.2380.01731159990.0318686325-0.02496348244.90.147994.95-7.2840.951-0.309-6.9272.2514.950.14851005-7.3581.0000.000-7.357-0.000-0.00478706090.036665752-0.036351564550.151015.05-7.2840.9510.309-6.927-2.2515.050.14851025.1-7.2100.8090.588-5.833-4.238-0.02549139710.0275602043-0.03408608165.10.1471035.15-7.1370.5880.809-4.195-5.7745.150.14551045.2-7.0630.3090.951-2.183-6.718-0.03662420.0083426654-0.01924670935.20.1441055.25-6.990-0.0001.0000.000-6.9905.250.14251065.3-6.916-0.3090.9512.137-6.578-0.0343485759-0.01336465630.00210211035.30.1411075.35-6.842-0.5880.8094.022-5.5365.350.13951085.4-6.769-0.8090.5885.476-3.979-0.0200231047-0.02931444220.0216966875.40.1381095.45-6.695-0.9510.3096.368-2.0695.450.13651105.5-6.622-1.000-0.0006.6220.0000.0005220159-0.03376396310.03227433115.50.1351115.55-6.548-0.951-0.3096.2282.0245.550.13351125.6-6.475-0.809-0.5885.2383.8060.0193656925-0.02553167630.0302647185.60.1321135.65-6.401-0.588-0.8093.7625.1795.650.13051145.7-6.327-0.309-0.9511.9556.0180.0295654972-0.00824746090.01697596995.70.1291155.75-6.2540.000-1.000-0.0006.2545.750.12751165.8-6.1800.309-0.951-1.9105.8780.02772686590.0112223002-0.00210972115.80.1261175.85-6.1070.588-0.809-3.5894.9405.850.12451185.9-6.0330.809-0.588-4.8813.5460.01512218560.0255012659-0.01958367825.90.1231195.95-5.9600.951-0.309-5.6681.8425.950.12151206-5.8861.0000.000-5.886-0.000-0.00299981940.029500216-0.028984364960.121216.05-5.8120.9510.309-5.528-1.7966.050.11851226.1-5.7390.8090.588-4.643-3.373-0.01957240780.0222240911-0.02718270216.10.1171236.15-5.6650.5880.809-3.330-4.5836.150.11551246.2-5.5920.3090.951-1.728-5.318-0.02845376850.0069510542-0.01539957546.20.1141256.25-5.518-0.0001.0000.000-5.5186.250.11251266.3-5.445-0.3090.9511.682-5.178-0.0266901456-0.00961118290.00089758536.30.1111276.35-5.371-0.5880.8093.157-4.3456.350.10951286.4-5.297-0.8090.5884.286-3.114-0.0154663055-0.02218699280.01632516736.40.1081296.45-5.224-0.9510.3094.968-1.6146.450.10651306.5-5.150-1.000-0.0005.1500.0000.0005518425-0.02570500490.02461862236.50.1051316.55-5.077-0.951-0.3094.8281.5696.550.10351326.6-5.003-0.809-0.5884.0482.9410.015153169-0.01935652320.02309039136.60.1021336.65-4.930-0.588-0.8092.8973.9886.650.10051346.7-4.856-0.309-0.9511.5014.6180.0229976618-0.00606788170.01287438176.70.0991356.75-4.7820.000-1.000-0.0004.7826.750.09751366.8-4.7090.309-0.951-1.4554.4780.02157348460.0088056802-0.00171182736.80.0961376.85-4.6350.588-0.809-2.7253.7506.850.09451386.9-4.5620.809-0.588-3.6902.6810.01197882570.0196292978-0.01496969126.90.0931396.95-4.4880.951-0.309-4.2681.3876.950.09151407-4.4151.0000.000-4.414-0.000-0.00170224070.0226203203-0.022040079570.091417.05-4.3410.9510.309-4.128-1.3417.050.08851427.1-4.2670.8090.588-3.452-2.508-0.01411327680.0171562333-0.02067649627.10.0871437.15-4.1940.5880.809-2.465-3.3937.150.08551447.2-4.1200.3090.951-1.273-3.919-0.02071520560.0058113711-0.0119254417.20.0841457.25-4.047-0.0001.0000.000-4.0477.250.08251467.3-3.973-0.3090.9511.228-3.779-0.0194372984-0.00681481170.00047809517.30.0811477.35-3.899-0.5880.8092.292-3.1557.350.07951487.4-3.826-0.8090.5883.095-2.249-0.0112904034-0.0159583890.01169089877.40.0781497.45-3.752-0.9510.3093.569-1.1607.450.07651507.5-3.679-1.000-0.0003.6790.0000.0002239562-0.01849018230.01765529057.50.0751517.55-3.605-0.951-0.3093.4291.1147.550.07351527.6-3.532-0.809-0.5882.8572.0760.0106047066-0.01397412580.01656629927.60.0721537.65-3.458-0.588-0.8092.0332.7987.650.07051547.7-3.384-0.309-0.9511.0463.2190.0161143371-0.00463280510.00938345057.70.0691557.75-3.3110.000-1.000-0.0003.3117.750.06751567.8-3.2370.309-0.951-1.0003.0790.01512381910.0056898744-0.00074044587.80.0661577.85-3.1640.588-0.809-1.8602.5607.850.06451587.9-3.0900.809-0.588-2.5001.8160.00855721740.0131007034-0.00981712457.90.0631597.95-3.0170.951-0.309-2.8690.9327.950.06151608-2.9431.0000.000-2.943-0.000-0.00066597320.0151237681-0.014589998580.061618.05-2.8690.9510.309-2.729-0.8878.050.05851628.1-2.7960.8090.588-2.262-1.643-0.00889955180.0115092556-0.01369528368.10.0571638.15-2.7220.5880.809-1.600-2.2028.150.05551648.2-2.6490.3090.951-0.818-2.519-0.01320711260.0041278194-0.00800521438.20.0541658.25-2.575-0.0001.0000.000-2.5758.250.05251668.3-2.502-0.3090.9510.773-2.379-0.0124008944-0.0039323567-0.00009012178.30.0511678.35-2.428-0.5880.8091.427-1.9648.350.04951688.4-2.354-0.8090.5881.905-1.384-0.0073177713-0.00964894210.00691695688.40.0481698.45-2.281-0.9510.3092.169-0.7058.450.04651708.5-2.207-1.000-0.0002.2070.000-0.0002948278-0.01119943920.01056078868.50.0451718.55-2.134-0.951-0.3092.0290.6598.550.04351728.6-2.060-0.809-0.5881.6671.2110.0058769668-0.00852043080.00991902298.60.0421738.65-1.987-0.588-0.8091.1681.6078.650.04051748.7-1.913-0.309-0.9510.5911.8190.0090626487-0.00313077160.00577683458.70.0391758.75-1.8390.000-1.000-0.0001.8398.750.03751768.8-1.7660.309-0.951-0.5461.6790.00851603970.00263694990.00012229298.80.0361778.85-1.6920.588-0.809-0.9951.3698.850.03451788.9-1.6190.809-0.588-1.3100.9510.00498712080.0066311638-0.00476658828.90.0331798.95-1.5450.951-0.309-1.4690.4778.950.03151809-1.4721.0000.000-1.471-0.0000.00023084480.0076826777-0.007235738790.031819.05-1.3980.9510.309-1.330-0.4329.050.02851829.1-1.3240.8090.588-1.071-0.778-0.00381678870.0059143656-0.00680406149.10.0271839.15-1.2510.5880.809-0.735-1.0129.150.02551849.2-1.1770.3090.951-0.364-1.120-0.00582201140.0024931857-0.00416950189.20.0241859.25-1.104-0.0001.0000.000-1.1049.250.02251869.3-1.030-0.3090.9510.318-0.980-0.0054799975-0.0010039612-0.0007377099.30.0211879.35-0.956-0.5880.8090.562-0.7749.350.01951889.4-0.883-0.8090.5880.714-0.519-0.0034536169-0.00329635210.00206847629.40.0181899.45-0.809-0.9510.3090.770-0.2509.450.01651909.5-0.736-1.000-0.0000.7360.000-0.0009154872-0.00386818060.00339628639.50.0151919.55-0.662-0.951-0.3090.6300.2059.550.01351929.6-0.589-0.809-0.5880.4760.3460.0010535532-0.0030286880.00320600879.60.0121939.65-0.515-0.588-0.8090.3030.4179.650.01051949.7-0.441-0.309-0.9510.1360.4200.0019211113-0.00159300730.00210848349.70.0091959.75-0.3680.000-1.000-0.0000.3689.750.00751969.8-0.2940.309-0.951-0.0910.2800.0018238821-0.00038241860.00092705489.80.0061979.85-0.2210.588-0.809-0.1300.1799.850.00451989.9-0.1470.809-0.588-0.1190.0860.00133778340.00019313870.00022949989.90.0031999.95-0.0740.951-0.309-0.0700.0239.950.0015200100.0001.0000.0000.0000.0000.00105324570.00027118520.000067385510020110.050.0000.9510.3090.0000.00010.05020210.10.0000.8090.5880.0000.0000.0009891360.00025467850.000063283910.1020310.150.0000.5880.8090.0000.00010.15020410.20.0000.3090.9510.0000.0000.00092892860.00023917650.000059431910.2020510.250.000-0.0001.0000.0000.00010.25020610.30.000-0.3090.9510.0000.0000.00087238590.00022461810.000055814310.3020710.350.000-0.5880.8090.0000.00010.35020810.40.000-0.8090.5880.0000.0000.00081928490.00021094590.00005241710.4020910.450.000-0.9510.3090.0000.00010.45021010.50.000-1.000-0.0000.0000.0000.0007694160.00019810590.000049226410.5021110.550.000-0.951-0.3090.0000.00010.55021210.60.000-0.809-0.5880.0000.0000.00072258270.00018604750.000046230110.6021310.650.000-0.588-0.8090.0000.00010.65021410.70.000-0.309-0.9510.0000.0000.00067860.0001747230.000043416110.7021510.750.0000.000-1.0000.0000.00010.75021610.80.0000.309-0.9510.0000.0000.00063729450.00016408780.000040773410.8021710.850.0000.588-0.8090.0000.00010.85021810.90.0000.809-0.5880.0000.0000.00059850320.00015410.000038291610.9021910.950.0000.951-0.3090.0000.00010.950220110.0001.0000.0000.0000.0000.00056207310.00014472010.0000359608110

Ejercicio:Un sistma de grado de libertad se somete a una aceleracion en la base como se muestra la figura, obtener la respuesta en terminos de posicion en cualquier tiempo t.

Hoja3

Calculos

t(s)a (m/s)0010.0320.0630.0940.1250.1560.1270.0980.0690.03100

Datosa(g)=0.2gt(s)=10sm=5KgK=197.39N/m=6.283Rad/sT=1.00st=0.05sF=-9.81N0.1

NtFCos a tSen a t z = F Cos a t z = F Sen a tCnSnXnt(s)a (m/s)000.0001.0000.0000.0000.0000.00000.00000.00000010.05-0.0740.9510.309-0.070-0.0230.050.001520.1-0.1470.8090.588-0.119-0.086-0.0002-0.00010.00000.10.00330.15-0.2210.5880.809-0.130-0.1790.150.004540.2-0.2940.3090.951-0.091-0.280-0.0006-0.00060.00040.20.00650.25-0.368-0.0001.0000.000-0.3680.250.007560.3-0.441-0.3090.9510.136-0.420-0.0005-0.00170.00150.30.00970.35-0.515-0.5880.8090.303-0.4170.350.010580.4-0.589-0.8090.5880.476-0.3460.0005-0.00290.00290.40.01290.45-0.662-0.9510.3090.630-0.2050.450.0135100.5-0.736-1.000-0.0000.7360.0000.0024-0.00330.00390.50.015110.55-0.809-0.951-0.3090.7700.2500.550.0165120.6-0.883-0.809-0.5880.7140.5190.0045-0.00230.00360.60.018130.65-0.956-0.588-0.8090.5620.7740.650.0195140.7-1.030-0.309-0.9510.3180.9800.00590.00020.00160.70.021150.75-1.1040.000-1.000-0.0001.1040.750.0225160.8-1.1770.309-0.951-0.3641.1200.00560.00355-0.001660.80.024170.85-1.2510.588-0.809-0.7351.0120.850.0255180.9-1.3240.809-0.588-1.0710.7780.00300.0064-0.00520.90.027190.95-1.3980.951-0.309-1.3300.4320.950.0285201-1.4721.0000.000-1.471-0.000-0.00130.0073-0.007310.03211.05-1.5450.9510.309-1.469-0.4771.050.0315221.1-1.6190.8090.588-1.310-0.951-0.00560.0053-0.00681.10.033231.15-1.6920.5880.809-0.995-1.3691.150.0345241.2-1.7660.3090.951-0.546-1.679-0.00830.0008-0.00341.20.036251.25-1.839-0.0001.0000.000-1.8391.250.0375261.3-1.913-0.3090.9510.591-1.819-0.0077-0.00480.00221.30.039271.35-1.987-0.5880.8091.168-1.6071.350.0405281.4-2.060-0.8090.5881.667-1.211-0.0037-0.00940.00781.40.042291.45-2.134-0.9510.3092.029-0.6591.450.0435301.5-2.207-1.000-0.0002.2070.0000.0027-0.01070.01111.50.045311.55-2.281-0.951-0.3092.1690.7051.550.0465321.6-2.354-0.809-0.5881.9051.3840.0091-0.00790.01031.60.048331.65-2.428-0.588-0.8091.4271.9641.650.0495341.7-2.502-0.309-0.9510.7732.3790.0128-0.00140.00531.70.051351.75-2.5750.000-1.000-0.0002.5751.750.0525361.8-2.6490.309-0.951-0.8182.5190.01200.0065-0.00241.80.054371.85-2.7220.588-0.809-1.6002.2021.850.0555381.9-2.7960.809-0.588-2.2621.6430.00640.0127-0.01011.90.057391.95-2.8690.951-0.309-2.7290.8871.950.0585402-2.9431.0000.000-2.943-0.000-0.00230.0146-0.014620.06412.05-3.0170.9510.309-2.869-0.9322.050.0615422.1-3.0900.8090.588-2.500-1.816-0.01080.0108-0.01362.10.063432.15-3.1640.5880.809-1.860-2.5602.150.0645442.2-3.2370.3090.951-1.000-3.079-0.01580.0024-0.00712.20.066452.25-3.311-0.0001.0000.000-3.3112.250.0675462.3-3.384-0.3090.9511.046-3.219-0.0148-0.00780.00292.30.069472.35-3.458-0.5880.8092.033-2.7982.350.0705482.4-3.532-0.8090.5882.857-2.076-0.0077-0.01580.01272.40.072492.45-3.605-0.9510.3093.429-1.1142.450.0735502.5-3.679-1.000-0.0003.6790.0000.0032-0.01820.01832.50.075512.55-3.752-0.951-0.3093.5691.1602.550.0765522.6-3.826-0.809-0.5883.0952.2490.0138-0.01350.01712.60.078532.65-3.899-0.588-0.8092.2923.1552.650.0795542.7-3.973-0.309-0.9511.2283.7790.0199-0.00310.00912.70.081552.75-4.0470.000-1.000-0.0004.0472.750.0825562.8-4.1200.309-0.951-1.2733.9190.01860.0094-0.00322.80.084572.85-4.1940.588-0.809-2.4653.3932.850.0855582.9-4.2670.809-0.588-3.4522.5080.01000.0191-0.01512.90.087592.95-4.3410.951-0.309-4.1281.3412.950.0885603-4.4151.0000.000-4.414-0.000-0.00320.0219-0.021830.09613.05-4.4880.9510.309-4.268-1.3873.050.0915623.1-4.5620.8090.588-3.690-2.681-0.01590.0163-0.02043.10.093633.15-4.6350.5880.809-2.725-3.7503.150.0945643.2-4.7090.3090.951-1.455-4.478-0.02320.0039-0.01093.20.096653.25-4.782-0.0001.0000.000-4.7823.250.0975663.3-4.856-0.3090.9511.501-4.618-0.0217-0.01080.00363.30.099673.35-4.930-0.5880.8092.898-3.9883.350.1005683.4-5.003-0.8090.5884.048-2.941-0.0115-0.02220.01763.40.102693.45-5.077-0.9510.3094.828-1.5693.450.1035703.5-5.150-1.000-0.0005.1500.0000.0039-0.02560.02553.50.105713.55-5.224-0.951-0.3094.9681.6143.550.1065723.6-5.297-0.809-0.5884.2863.1140.0186727084-0.01903840660.02387489323.60.108733.65-5.371-0.588-0.8093.1574.3453.650.1095743.7-5.445-0.309-0.9511.6825.1780.0270513241-0.0046520870.01277984793.70.111753.75-5.5180.000-1.000-0.0005.5183.750.1125763.8-5.5920.309-0.951-1.7285.3180.02532631920.0123715796-0.00394425343.80.114773.85-5.6650.588-0.809-3.3304.5833.850.1155783.9-5.7390.809-0.588-4.6433.3730.01361792440.0254760334-0.02002429383.90.117793.95-5.8120.951-0.309-5.5281.7963.950.1185804-5.8861.0000.000-5.886-0.000-0.00400629920.0292969204-0.029101876240.12814.05-5.9600.9510.309-5.668-1.8424.050.1215824.1-6.0330.8090.588-4.881-3.546-0.02093152770.0218479869-0.02724477254.10.123834.15-6.1070.5880.809-3.589-4.9404.150.1245844.2-6.1800.3090.951-1.910-5.878-0.03047851160.0054808004-0.01462658194.20.126854.25-6.254-0.0001.0000.000-6.2544.250.1275864.3-6.327-0.3090.9511.955-6.018-0.0285375566-0.01382507450.00433484024.30.129874.35-6.401-0.5880.8093.762-5.1794.350.1305884.4-6.475-0.8090.5885.238-3.806-0.0153159595-0.02864227690.02251126164.40.132894.45-6.548-0.9510.3096.228-2.0234.450.1335904.5-6.622-1.000-0.0006.6220.0000.0045364252-0.03295310980.03274303664.50.135914.55-6.695-0.951-0.3096.3682.0694.550.1365924.6-6.769-0.809-0.5885.4763.9790.023549652-0.024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Ejercicio:Un sistma de grado de libertad se somete a una aceleracion en la base como se muestra la figura, obtener la respuesta en terminos de posicion en cualquier tiempo t.

Hoja3