gujarat technological university, ahmedabad, …resultant &equilibriumforces. conditionsof...

< APPLIED MECHANICS > Course Code: 3300008

GTU/ NITTTR Bhopal/12-13 Gujarat State

GUJARAT TECHNOLOGICAL UNIVERSITY, AHMEDABAD, GUJARAT

COURSE CURRICULUM

APPLIED MECHANICS

(Code: 3300008)

Diploma Programme in which this course is offered Semester in which offered Aeronautical Engineering Second

1. RATIONALE.

Applied mechanics, as its name suggests, bridges the gap between physical theory and its application to technology. As such, applied mechanics is used in many fields of engineering, especially mechanical and Metallurgy Engineering. In this context, it is commonly referred to as engineering mechanics. To impart basic knowledge of Engineering Mechanics where in Laws of Physics are applied to Solve Engineering problems, this programme / course will help the student to develop basic know how & awareness of the various laws of physics & it’s real life applications in the various fields of engineering

2. COMPETENCY. The course content leading to the achievement of the following competencies;

i. Apply the concepts of force, work and energy to calculate work done, power required & efficiency for various simple machines

3. TEACHING AND EXAMINATION SCHEME.

Teaching Scheme (In Hours)

Total Credits

(L+T+P)

Examination Scheme

Theory Marks Practical Marks

Total Marks

L T P C ESE PA ESE PA 150 03 00 02 05 70 30 20 30

Legends:L-Lecture; T – Tutorial/Teacher Guided Theory Practice; P -Practical; C – Credit,ESE -End Semester Examination; PA - Progressive Assessment.



4. COURSE DETAILS

Unit Major LearningOutcomes Topicsand Sub-topics Unit–I

Introduction

1.1DefinescopeofEngineering Mechanics 1.2ClassifyScalar& Vector quantity 1.3Diffrentiatethesystemsof Units

Scalar&VectorQuantities– likeforce,pressure,velocity,acceleration Static &Dynamic–Kinetics&Kinematics MKS , CGS &SIunits anditsconversion

alongwithFPIandMetric System

Unit–II Coplanar Concurrent Forces

2.1UnderstandCo-planer ConcurrentForcesystem 2.2Computeresultant& Equilibriumforces forgiven coplanarconcurrent forcesystem

Force –units,elements, Laws/Principles offorcessuchasPrincipleof Superposition,Principleof transmissibility Composition&ResolutionofForces Resultant &Equilibriumforcesconditionsof equilibrium Analytical&graphicalmethod forLawof Parallelogram,LawofTriangle,Lami’sLami’s Theorems Law of Polygon

Unit–III Coplanar Non- Concurrent Forces

3.1Differentiate Co-planar parallel and non - concurrent forces 3.2Computeresultant& Equilibriumforces forgiven coplanarconcurrent force system 3.3CalculateSupport reactions of thegivensimplysupported

PrincipalofMomentMoment,Couple,application,propertiesofcouple,conditionsofequilibrium Typesofsupports,endconditions–Hinge,freeend,roller,fix, Typesofloadslikepointload,U.D.L, U.V.L,Couple, Analytical methodtoEvaluatereactions instatically determinatebeamsubjectedtopointloadand/orU.D.L by analyticalmethodofsolvingStaticallydeterminate beams.

Unit–IV Centroid &Centre of Gravity

4.1DistinguishbetweenCentroid andCentreofGravity 4.2ComputeCentroid&Centreofgravityindifferentshapeand lamina

Firstmomentofarea;tofindCentroid–standardshapesofI,L, Channel&Tsections, axisofsymmetry Firstmomentofmass;tofindC.Gofstandardsolids sections,Axisofsymmetry

Unit–V Friction

5.1Appreciate Friction and its Engineeringapplications 5.2Calculate coefficient of frictionfordifferentsurfaces

Friction,LawsofFriction,AngleofFriction,AngleofRepose,typesoffriction Application ofLami’stheoryandtheoryofresolutionof forces,exampleson friction forablock restingon horizontalplane&oninclinedplane

Unit–VI Work,Power &Energy

6.1Establish relation between Work,PowerEnergy 6.2Calculate IHP and BHP in differentconditions

Work–workdone,forcedisplacementdiagram,torque ,workdonebytorque Power–I.H.PandB.H.Pofengine,Equationof H.Pin termsofTorqueandR.P.M, EngineeringProblems Energy – Kinetic&PotentialenergyandEngineering Problems



Unit–VII Simple Machines

7.1Apply the principle & applicationof SimpleMachines 7.2Comparereversible& irreversibleMachines,evaluate theefficienciesofvarioussimple machines

principles of machines to evaluate Mechanical Advantage, VelocityRatioofsimplemachine pulleyblocks,DrawLinesketchofdifferentsystemsof Simple and compound levers ,Problems , Laws of Machines,reversible&nonreversiblemachines

5. SUGGESTED SPECIFICATION TABLE WITH HOURS AND MARKS (THEORY).

Unit No. Unit Title Teaching

Hours

Distribution of Theory Marks R

Level U

Level A

Level Total

Marks 1. Introduction 02 04 00 00 04 2. Coplanar Concurrent Forces 10 02 02 06 12 3. Coplanar Non-Concurrent Forces 10 02 02 08 12 4. Centroid and Centre of Gravity 04 02 02 06 10 5. Friction 06 02 04 06 12 6. Work, Power & Energy 04 02 02 06 10 7. Simple Machines 06 02 02 08 12 Total 42 16 14 40 70

Legends:R = RememberU= Understand; A= Apply and above levels (Bloom’s revised taxonomy).

6. SUGGESTEDLISTOF EXERCISES/PRACTICAL/EXPERIMENTS

Theexercises/practical/experimentsshouldbe properlydesignedandimplementedwithanattempttodevelop

different types of skills leading to the achievement of the competency. Following

isthelistofExercises/practical/experiments forguidance.

Sr. No. UnitNo. PracticalExercise/Experiment 1 01 ----

2

02 Verifyand calculateresultantforcethroughLawofParallelogram,PolygonLawof Forces,Lami’sTheorem

3 03 VerifyreactionsinbeamthroughGraphical& analyticalmethod 4 04 CalculateCentroidoflaminaandCentroidofdifferentsections 5 05 CalculateCoefficientofSlidingFrictionfordifferentsurfaces–Wood,Glass 6 06 ----

7

07 Work-outM.A&EfficiencyofSimplepurchasecrab,simplewheelandaxle,simple screwjack

7. SUGGESTEDLISTOF STUDENTACTIVITIES

7.1 Studentswillprepare File/journal fortheabovementionedExperiments. 7.2Studentsmaybegivenfewexercisestocalculateresultant/equilibriumforceof t h e forcesystem

graphically&analyticallyverifytheresults.-unit2 7.3 Studentmaybeaskedto co l lec tphotographsfrominternetwhichisrelatedtofieldapplication

ofvarioustopics

<APPLIED MECHANICS > Course Code:3300008


8. SUGGESTEDLEARNINGACTIVITIES

A. ListofBooks

Sr.

No.

Title ofBook

Author

Publication

1. EngineeringMechanics RS Khurmi S. Chand,NewDelhi

2. EngineeringMechanics DS Kumar S. K. Kataria&Sons,

3. EngineeringMechanics Bear&Jonstan Newmedia

4. AppliedMechanics HJShah&Junarkar CHAROTARPublication

B. ListofMajor Equipment/Instrument

ApparatusforLawofParallelogram,Lami'stheorem&law ofPolygon

Apparatusfordeterminationofcoefficientoffriction

ApparatustodetermineCG ofLamina

Beamapparatustofindreactions

Simplepurchasecrab,simple wheeland axle,simple screwjack

C. ListofSoftware/LearningWebsites

VideoLecturesonAppliedMechanicsByProf.SK.Gupta,DepartmentofAppliedMecha

nics, IITDelhi

www.tut.fi/.../InstituteofAppliedMechanicsandOptiization/TME-51

ocw.mit.edu›...›MechanicsofMaterials

www.me.ust.hk/.../ME106-applied%20mechanics-lecture%201.pdf COURSE CURRICULUM DEVELOPMENT COMMITTEE Faculty Members from Co-coordinator and Faculty Members from NITTTR Bhopal

Laxmi Institute of Technology , Sarigam Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmadabad

Academic Year : 2018-2019

ASSIGNMENT: 1

Name of Subject : Applied Mechanics Date:27/7/2018

Subject Code : 3300008

Chapter/Unit: 1

Q.1 Define statics and dynamics.

Q.2 State two scalar and two vector quantities.

Q.3 Write difference between scalar quantities and vector quantities.

Q.4 Define vector quantity.

Q.5 Define vector quantity with two examples.

Date of Submission:-3/7/2018

Name & Sign of Subject In-charge: Mr. Shailendra Prajapati



ASSIGNMENT: 2



Chapter/Unit: 2 Q.1State and explain Parallelogram law of forces. Q.2State and explain Lami’s theorem. Numerical Q.1Find maximum and minimum resultant of two tensile forces 30 kN and 10 kN acting at one point. Q.2Two equal tensile forces of 10 kN each are acting at a point at an angle of 1200 between them. Find magnitude and direction of resultant force.

Q.3Three tensile forces F1,F2&F3 acting at a point are in equilibrium. The angle between F1&F2 is 900 and between F2&F3 is 1200.find the ratio of the forces.

Q.4Find magnitude and direction of resultant of force system as shown in fig.1



Q.5A circular sphere weighing 400 N and having a radius of 150 mm hangs by astring AC 350 mm long as shown in figure‐2. Find reaction offered by a walland tension in the string. Q.6Two forces 15 N each act an angle θ with each other. So that their resultant is 25 N. Find the angle θ. Q.7Find magnitude and direction of resultant force, if 60 N force is acting due North and 30 N force is acting due East. Q.8Two forces of 10N each act an angle θ with each other so that their resultant is also 10N. Find the angle. Q.9Two forces 50 KN each acting at an angle 40° between them find magnitude and direction of the resultant. Q.10The following forces are acting at a point find Magnitude and direction of resultant forces. (I) 10 N Inclined at 30 degree Towards North of East.(II) 12N towards North (III) 15 N towards North-West. (IV) 18 N Inclined at 40 degree towards south of west. Q.11Two tensile forces are acting at a point making an angle of 120º between them. The bigger force is 60kN and resultant is perpendicular to smaller force. Find resultant and smaller force. Q.12The system shown in Fig. 1 is in equilibrium. Find unknown forces P and Q. Q.13A sphere weighing 600N and radius 300mm hangs by a string as shown in Fig. 2. Find reaction of wall and tension in string.



Q.14A point in equilibrium is pulled by five strings at an equal angle. If tensions in consecutive strings are 5KN, 6KN, 7KN, 8KN and 9KN. Find magnitude and direction of Resultant by Method of Resolution. Q.15Find the magnitude and direction of Equilibrant force for two tensile forces of 6KN and 8KN acting at a point at an angle of 60°. Q.16If two forces act at an angle 90⁰, resultant is √10, if they act at an angle 60⁰, resultant is √13. Find the two forces. Q.17A load of 100 kN is hung by means of a rope attached to a hook in a horizontal ceiling. What horizontal force should be applied so that rope makes 60⁰ with the ceiling? Also calculate tension in rope.





ASSIGNMENT: 3



Chapter/Unit: 3

Q.1 Define moment of a force and couple.

Q.2 State types of supports and loads. Explain any two types of loads and supports.

Q.3 Give characteristics of a couple.

Q.4 Explain difference between moment and couple.

Q.5 Write the types of beam.

Q.6 Enlist the system of forces.

Q.7 State type of beam support with neat sketch.

Q.8 State the law of Varignon’s principle of moments.

Q.9.Define a couple and list the properties of couple.

Q.10 Explain condition of equilibrium of coplanar Non concurrent forces.

Numerical

Q.1. Find magnitude and direction of resultant for the system shown in fig. 1.



Fig. 1 Fig. 2

Q.2. Find magnitude and direction of resultant for the system shown in fig. 2.

Q.3. Find Support Reactions for a beam shown in Figure No.3

Fig.3

Q.4. Find Support Reactions for a beam shown in Figure No.4



Q.5.A10 KN force acting perpendicular to the diagonal of a rectangular plate at corner, shown in figure 5. Find moment about point A.

Fig. 5

Q.6. Find moment of a force about point ‘A’ from Figure‐6.



Fig.6

Q.7. A simple supported beam has span of 5.0 m. It carries a concentrated load of 200 kN, 2.0 m from left hand support and a concentrated load of 100 kN at 1.0 m from the right. Calculate support reaction.

Q.8.A beam is loaded as shown in the figure‐8 below. Find unknown weight and distance ‘x’.

Fig.8

Q.9. Calculate reaction offered by supports of the beam shown in the figure‐9.



Fig. 9

Q.10. Find support reactions for a beam as shown in fig. 10.

Fig. 10

Date of Submission:-31/8/2018 Name & Sign of Subject In-charge: Mr. Shailendra Prajapati



ASSIGNMENT: 4



Chapter/Unit: 4

Q.1 Define Centroid and Centre of Gravity.

Q.2 Distinguish between centroid and center of gravity.

Q.3 Distinguish between axis of reference and axis of symmetry.

Q.4State co-ordinates of centroid of semi-circle having radius ‘r’

Q.5Explain axis of reference and axis of symmetry.

Q.6Find centroid of Lamina as shown in fig.1.

FIG.2

FIG.1 Q.7Find centroid of the given lamina as shown in figure no. 2 Q.8Find the centroid of an angle section ISA 60×40×10 mm keeping longer leg vertical.



Q.9An I-section has top flange 18cm X 2cm, web 28cm X 2cm and bottom flange38 cm X 4cm. Find centroid of the section.

Q.10Find the centroid of ISA 100×60×10 with longer leg vertical.

Q.11Calculate Centre of gravity of ‘T’ section having flange 20x2cm and web 30x2cm.

Q.12Calculate centroid of angle section 90x60x6 mm keeping longer leg vertical.

Q.13Find Centroid of the lamina as shown in Figure No. 3

FIG.3





ASSIGNMENT: 5



Chapter/Unit: 5 1. Define Angle of friction and Coefficient of friction. State relation between them. 2. Write laws of Dynamic friction. 3. Write laws of static friction. 4. Define angle of repose. 5. Write advantages and disadvantages of friction. 6. Explain Friction and Limiting friction. 7. Explain the Sliding friction &Rolling friction. 8. Prove that angle of limiting friction ø and angle of repose α are equal i.e. α= ø.

9. Find the weight of a case (block) if it requires 25 N effort to slide it up on the inclined plane making

30 degree with horizontal plane. Assume coefficient of friction = 0.10.

10. A pull of 50 N inclined at 300 to the horizontal is necessary to move a wooden block of 215 N weight

placed on horizontal table. Find coefficient of friction.

11. A body of weight 400 N resting on a plane inclined at 15º to the horizontal. A horizontal

force of 247.5 N is just sufficient to cause the body to start move up the plane. Find co-

efficient of friction (μ)and angle of friction.

12. A box weighing 10 kN is pulled along inclined plane by 6.30 kN force parallel to plane. The

inclination of plane is 300 with horizontal. Find coefficient of friction.

13. Find the weight of a box if it requires 40N effort parallel to surface to move it up on the inclined

plane inclining 30º with horizontal. Assumecoefficient of friction(μ)=0.25

14. A ladder weighing 200N is 4m long. It is resting against a smooth wall at top and bottom end on

rough floor. The angle of ladder with horizontal is 60º.A man weighing 800 N is standing at middle

of the ladder. Find minimum horizontal force P required at bottom of ladder to prevent sliding. μf=

0.25.





ASSIGNMENT: 6



Chapter/Unit: 6

Q.1 Define ‘work’ ‘power’ and ‘energy’. Give their units as per S.I. System.

Q.2 Define kinetic energy and potential energy.

Q.3 State law of conservation of energy. Q.4 What are the different forms of energy? Q.5 Define Energy and Explain types of Mechanical energy. Q.6 Calculate horsepower required to lift a block weighing 170 KN by 16 meter in 7 minutes.

Q.7 A water tank of 50000 litres capacity is at 20 m height from ground. It is to be filled in 25 minutes by a pump. Calculate required power of the pump in kW and H.P.

Q.8 A locomotive pull a train with a uniform velocity of 70 Kmph and exert attractive pull of 30 KN. Calculate work done by locomotive in 20 minutes and power of locomotive. Q.9 An engine weighing 500 KN is capable of generating a velocity of 30 km/hr. in 2 minutes on a level track. If resistance due to friction and other be 25 N/KN, calculate power of engine in KW. Q.10 A horse is pulling a cart at constant horizontal force of 150 N. at the speed of 2.5km/hr. find the work done in 10 minutes. Q.11 A train weighing 1800kN is pulled on level track at a speed of 36kmph by an engine if frictional resistance is 10N/kN. Calculate power of engine in kW and H.P. Q.12 Water is to be lifted from a well 10m deep in a tank 3m×2m×1m at 15m above G.L. in 40 minute. Calculate the power required by pump in kW and H.P.





ASSIGNMENT: 7



Chapter/Unit: 7

Q.1 Define the following: (1) Velocity ratio (2) Mechanical Advantage (3) Efficiency (4) Reversible machine (5) Self-locking machine (6) output of a machine (7) Ideal machine Q.2 Draw a neat sketch of simple wheel and axle and label its parts. Write formula for VR. Q.3 Draw a neat sketch of simple wheel and differential axle and label its parts. Write formula for VR. Q.4Explain reversible machine and self-locking machine. Q.5Explain Law of simple machine with diagram. Q.6The velocity ratio of a machine is 10 and efficiency is 75%. Find load wheneffort is applied is 180 N. Q.7 In a lifting Machine an effort of 20 N and 30 N can lift a load of 600 N and 1000 N respectively. Show that the Maximum efficiency is 80% .if the VR= 50. Q.8In a simple lifting machine an effort of 2 KN raised a load of 60 KN and effort of 3 KN raised a load of 100 KN. The velocity ratio of machine is 50. Determine: (1) Effort required lifting a load of 160 KN. (2) Maximum efficiency of machine. (3) State machine is reversible or self locking.

Q.9For a simple wheel and axle diameter of axle is 30cm and diameter of wheel is 75cm. Find an effort required to lift a load of 1200N if efficiency is 75%. Q.10 Law of machine for one simple machine is P=0.2W+4. Find the efficiency and effort required to lift a load of 100KN. Also calculate maximum efficiency and maximum mechanical advantage, if velocity ratio is 40.



Q.11. In a machine, an effort of 75N was able to raise a load of 2.25 KN. The effortwas found to move through a distance of 18m, when the load moved through adistance of 47cm. find (1) mechanical advantage (2) velocity ratio. Q.12.A law of machine for simple machine is P= (0.1W+3.0). Find out effort requiredto lift a load of 70KN.Also calculate maximum mechanical advantage. Q.13. In a lifting machine an effort of 90 N raised a load of 950 N and an effort of 450 N raised a load of 5700 N. Find the law of machine.



Laxmi Institute of Technology, Sarigam Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmedabad

Academic Year 2018-19

Centre Code: 691 Examination : MID – I Examination Branch: Auto Semester: 1st Sub Code: 3300008 Sub: A.Mech Date: 27/09/2018 Time: 9:00 to 10:00 Marks: 20 Note: English version is authentic. Q.1 Solve any three.

a) બળની પ રભાષા આપી તનેો S.I એકમ લાખો. b) યા યાિયત કરો: થર અન ેગિતશા

c) કલર રાશી અને વે ટર રાશી વ ચે તફાવત કરો d) Coplanar સમવત દળો સં લુન ની શરત.

6

Q.2

(a) 3

OR

(a)

3

(b)

3

Q.3 (a)

4

(b)

4

OR

(a) 4

(b) 4

Laxmi Institute of Technology, Sarigam Approved by AICTE, New Delhi; Affiliated to Gujarat Technological University, Ahmedabad

Academic Year 2018-19

Centre Code: 691 Examination : MID – I Examination Branch: AUTOMOBILE Semester: 1st Sub Code: 3300008 Sub: A- MECH Date: 27/09/2018 Time: 9:00 to 10:00 Marks: 20 Note: English version is authentic. Q.1 Solve any three.

a) State and define S.I. unit of force. b) Define: static and dynamic. c) Differentiate between scalar quantity and vector quantity. d) Condition of equilibrium of coplanar concurrent forces.

6

Q.2 (a)Find the resultant of forces shown in the figure 1

3

OR (a)Find the resultant of forces shown in the figure 2

3

(b)Find the resultant of forces shown in the figure 3

3

Q.3 (a)Following force are acting at a point. A. 1) 4 kN towards north-West B. 2) 2 kN inclined at 30º North of East C. 3) 3 kN towards East. D. 4) 5 kN towards South. Find magnitude and direction of the resultant

4

(b)Find the magnitude of two forces such that they act at right angles ,their resultant is 6N ,while they act at an angle of 60o- resultant is√38 N

4

OR (a)State and Explain parallelogram law of force 4

(b) A Sphere of 10N weight hanging as shown in the figure 4 .Find the tension in rope and reaction of wall.

4

1/4

Seat No.: ________ Enrolment No.______________

GUJARAT TECHNOLOGICAL UNIVERSITY DIPLOMA ENGINEERING – SEMESTER–I/II •EXAMINATION–SUMMER - 2017

Subject Code: 3300008 Date: 13 - 06 -2017

Subject Name: Applied Mechanics

Time: 10:30 AM TO 01:00 PM Total Marks: 70 Instructions:

1. Attempt all questions.

2. Make Suitable assumptions wherever necessary.

3. Figures to the right indicate full marks.

4. Use of programmable & Communication aids are strictly prohibited.

5. Use of only simple calculator is permitted in Mathematics.

6. English version is authentic.

Q.1 Answer any seven out of ten. 14

1. State and define S.I. unit of force.

2. State the method of finding resultant of number of concurrent forces.

3. State the triangle law of forces.

4. Define couple ,arm of couple and moment of couple.

5. State conditions of equilibrium for coplanar non concurrent forces.

6. Define centroid and centre of gravity .

7. Define angle of friction.

8. Define lifting machine and state the examples.

9. Define work state it S.I.unit

10. State law of conservation of energy.

Q.2 (a) Classify the system of forces 03

OR

(a) Sate and explain the principle of super position 03

(b) Find the resultant of forces shown in the figure 1 03

OR

(b) Find the magnitude of two forces such that they act at right angles ,their

resultant is 6N ,while they act at an angle of 60o- resultant is√38 N

03

(c) Sate and explain the lami’s theorem 04

OR

(c) A Sphere of 10N weight hanging as shown in the figure 2 .Find the tension in

rope and reaction of wall.

04

(d) State and explain the types of equilibrium 04

OR

(d) Find the magnitude and direction of the resultant for the system of force

shown in the figure 3 using graphical method

04

Q.3 (a) State the difference between the centroid and C.G. 03

OR

(a) Calculate C.G. of I section shown in the figure 4. 03

(b) State the laws of static friction 03

OR

(b) A block of 200 N is placed on a rough inclined plane.The inclination of the

plane with the horizontal 30o . if µ = 0.25. Calculate the force that is applied

parallel to the slope of plane to move block upwards.

03

(c) Find the centroid of lamina shown in the fig 5. 04

OR

(c) Locate the centroid of the area shown in the fig 6. 04

2/4

(d) State the area and the coordinates of the centroid of the following i) Rectangle

ii) Right angle triangle iii) trapezium iv) circle

04

OR

(d) State the volume and the coordinates of the C.G.of the following solids

i) cylinder ii) cone iii) sphere iv) hemi sphere

04

Q.4 (a) State and explain type of beams 03

OR

(a) State and explain type of loads 03

(b) State and explain type of supports 04

OR

(b) Find the reaction offered by the supports shown in the figure 7 04 (c) Find out support reaction for the beam shown in the figure 8 07

Q.5 (a) Define M.A.,V.R. & efficiency ή 04

(b) State and explain the law of machine 04

(c) Sketch different type of pulley blocks 03

(d) Derive the relationship between M.A.,V.R. & efficiency ή 03

ગજુરાતી પ્રશ્ન. ૧ દશમ ાંથી કોઇપણ સ તન જવ બ આપો. ૧૪

૧. બળની પરિભાષા આપી તેનો S I એકમ લાખો

૨. સગંામી બળોન ંપરિણામી બળ શોધવાની િીત સમજાવો

૩. બળનો ત્રિકોણનો ત્રનયમ સમજાવો

૪. બળય ગ્મ ,ય ગ્મ ભ જ ,અને બળય ગ્મ ધ ણણની પરિભાષા આપો

૫. સમ્તાલીય સમ્ગામી બળોના સમતોલનની શિતો સમજાવો

૬. કે્ષિકેન્દ્ર અને ગ ર ત્વ મધ્ય કેન્દ્રની પરિભાષાઓ આપો

૭. ઘષણણ કોણની વ્યાખ્યા આપો

૮. ભાિવાહક યિંની વ્યાખ્યા આપી તેના ઉદાહિણો આપો

૯. કાયણની વ્યાખ્યા આપી તેના એસ.આઈ .એકમ લખો.

૧૦ ઉજાણ સિંક્ષણનો ત્રનયમ લખીને સમજાવો

પ્રશ્ન. ર અ બળ પ્રણાલીઓન ંવગીકિણ સમજાવો ૦૩

અથવ

અ બળનો અધ્યાિોપણનો ત્રસદ્ાતં લખો અને સમજાવો ૦૩

બ આકૃત્રત૧મા ંઆપેલ બળપ્રણાલીન ંપરિણમી બળ શોધો ૦૩

અથવ

બ બે બળો જયાિે એક બીજાને ૯૦ અંશનો ખણૂો બનાવે ત્યાિે પરિણમી બળ ૬

ન્દ્ય ટન હોય અને જયાિે તેમની વચ્ચે ૬૦ અંશ હોય ત્યાિે √૩૮ ન્દ્ય ટન હોય તો તે

બે બળોન ે શોધો

૦૩

ક લામીના પ્રમેયને લખીને સમજાવો ૦૪

અથવ

ક આકૃત્રત 2મા ંબતાવેલા લટકતા ગોળન ંવજન ૧૦ N છે .દોિડામા ંથત ંખેચાણ ૦૪

3/4

અને દીવાલન ંપ્રતીબળ શોધો ડ સતં લનના પ્રકાિો જણાવો અને તેમને સમજાવો ૦૪

અથવ

ડ આકૃત્રત ૩ મા ંબતાવેલ બળ પ્રણાલીના પરિણમી બળન ંમાનં અને રદશા આલેખીય િીતથી બતાવો.

૦૪

પ્રશ્ન. ૩ અ ક્ષેિ કેન્દ્ર અને ગ ર ત્વ કેન્દ્ર વચ્ચેનો તફાવત લખો ૦૩

અથવ

અ આકૃત્રત૪ મા ંબતાવેલા I સેક્શનન ંક્ષેિ કેન્દ્ર શોધો ૦૩

બ સ્થથત ઘષણણના ત્રનયમો લખો ૦૩

અથવ

બ ૨૦૦ N વજન ધિાવતો બ્લોક એક ઢળતા પારટયા પિ મ કેલ છે .જે સમક્ષક્ષત્રતજ

સમતલ સાથે ૩૦ અંશનો ખણૂો બનાવે છે જો ઘષણણ આંક ૦.૨૫ હોય તો ઢળતા પારટયાને સમાતંિ એ બળ શોધો જે બ્લોકને ઉપિ ખસેડવા જોઈએ .

૦૩

ક આકૃત્રત૫ મા ંબતાવેલ તકતીન ંકેન્દ્ર શોધો ૦૪

અથવ

ક આકૃત્રત૬મા ંબતાવેલ કે્ષિન ંકેન્દ્ર શોધો ૦૪

ડ નીચ ેઆપેલ ક્ષેિોના કેન્દ્રના યામો લખો ૧) લબંચોિસ 2) કાટકોણ ત્રિકોણ 3)

િપેઝીઉમ 4) વત ણળ

૦૪

અથવ

ડ નીચ ેઆપેલ ઘનોન ંકદ લખો અને તેમના ગ ર ત્વ કેન્દ્રના યામો લખો ૧) નળાકાિ 2)શકં 3) ગોળો 4) અધણ ગોળો

૦૪

પ્રશ્ન. ૪ અ બીમના પ્રકાિો લાખો અને સમજાવો ૦૩

અથવ

અ ભાિના પ્રકાિો લાખો અને સમજાવો ૦૩

બ આધાિના પ્રકાિો લાખો અને સમજાવો ૦૪

અથવ

બ આકૃત્રત૭મા ંઆપેલ બીમના આધાિના પ્રત્રતરિયા બળો શોધો ૦૪

ક આકૃત્રત૮મા ંઆપેલ બીમના આધાિના પ્રત્રતરિયા બળો શોધો ૦૭

પ્રશ્ન. ૫ અ યાતં્રિક ફાયદો ,વેગ ગ ણોત્તિ અને કાયણક્ષમતાની વ્યખાયો આપી સમજાવો ૦૪

બ યિંના ત્રનયમને લખો અને સમજાવો ૦૪

ક અલગ અલગ પ્રકાિના ગિગડીઓના થકેટ્ચ દોિો ૦૩

ડ યાતં્રિક ફાયદો ,વેગ ગ ણોત્તિ અને કાયણક્ષમતા વચ્ચેના સબંધંન ંસ િ તાિવો ૦૩

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GUJARAT TECHNOLOGICAL UNIVERSITY DIPLOMA ENGINEERING – SEMESTER – I (NEW) • EXAMINATION – SUMMER - 2018

Subject Code: 3300008 Date: 23-May-2018

Subject Name: APPLIED MECHANICS

Time:10:30 AM TO 01:00 PM Total Marks: 70 Instructions:







Q.1 Answer any seven out of ten. દશમ ાંથી કોઇપણ સ તન જવ બ આપો. 14

1. Define: static and dynamic

૧. વ્ય ખ્ય આપો.સ્થથતતશ સ્ત્ર અને ગતતશ સ્ત્ર

2. State triangular law of force

૨. બળોન તિકોણ નો તનયમ લખો.

3. Define moment of force and couple

૩. વ્ય ખ્ય આપો.બળઘણુણ અને બળયગુ્મ

4. Draw axis of symmetry for the following figures. 1) semi-circle 2) T-section

૪. નીચે આપેલી આક્રુતતની સાંતમતી અક્ષ દોરો.1) અર્ણ વર્ ુણળ 2) T-સેક્શન

5. Define axis of reference and work.

૫. વ્ય ખ્ય આપો:અનસુાંર્ ન અક્ષ અને ક યણ

6. Define: mechanical advantages and velocity ratio

૬. વ્ય ખ્ય લખો: ય ાંતિક ફ યદો અને વેગ ગણુોતર

7. State law of conservation of energy

૭. ક યણ શસ્ક્તની અતવન તશત નો તસધર્ ાંત લખો.

8. Differentiate between scalar quantity and vector quantity

૮. તફવત લખો સદદશ ર તશ અને અદદશ ર તશ

9. Condition of equilibrium of coplanar concurrent forces.

૯. સમતલલય સાંગ મી બળો મ ટે સમતોલનની સરતો લખો.

10. Define angle of repose and angle of friction.

૧૦. વ્ય ખ્ય આપો તવશ્ર મકોણ અને ઘર્ણણકોણ

Q.2 (a) Explain different types of beam and different types of load on beam 03

પ્રશ્ન. ર (અ) બીમન પ્ર ક ર અને તેન પર લ ગત ભ ર જણ વો. ૦૩

OR

(a) A wooden box is pulled on a smooth horizontal floor by a string at angle 45º

with floor, with 45 kg force to a distance of 15 cm. Find the work done.

03

(અ) એક લ કડ ન બોક્સને સમતલ સપ ટી સ થે 45º નો ખણુો બન વતી દોરી વડે લીસી સપ ટી પર ખેંચવ મ ાં આવે છે. દોરી 45 kg ન ત ણ વડે આ બોક્સને 15

૦૩

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m જેટલુાં થથ ળ ાંતર કર વત ાં કેટલુાં ક યણ થશે.? (b) ABCD is a square of 2m side. Force 5 kN, 3kN, 10 kN, 8kN and 16 kN,

acting respectively along AB, BC, CD, DA, and diagonal AC. Find the

resultant effect of these forces.

03

(બ) ચોરસ ABCDની બ જુન ુમ પ 2 m છે.તેની બ જુઓ AB, BC, CD, DA, અન ેતવકણણ AC ઉપર લ ગત બળો અનકુ્રમે 5 kN, 3kN, 10 kN, 8kN અને 16 kN છે તો તેન ુપરીણ મી બળનુાં મલુ્ય અને દદશ શોર્ો.

૦૩

OR

(b) Define ‘work’ ‘power’ and ‘energy’. Give theire units as per S.I. System 03

(બ) ક યણ, શસ્ક્ત અને ક યણ શસ્ક્ત ની વ્ય ખ્ય આપી તને એકમ લખો. ૦૩

(c) A water tank of 5000 litres capacity is at 20 m above the ground. It is to be filled

within 15 minutes from a tank at ground level by a pump. Calculate power of the

pump required

04

(ક) એક 5000 લીટર પ ણીની ક્ષમત ર્ર વતી ટ ાંકી જમીન થી 20 મીટર ઊંચે છે. તેને જમીન પર ન પાંપ વડે 15 તમતનટમ ાં ભરવ ની છે. પાંપનો પ વર ગણો.

૦૪

OR

(c) Following force are acting at a point.

1) 4 kN towards north-West

2) 2 kN inclined at 30º North of East

3) 3 kN towards East.

4) 5 kN towards South. Find magnitude and direction of the

resultant

04

(ક) નીચે આપેલ બળો એક લબિંદુએ ક યણ કરે છે તેન પરીણ મી બળનુાં મલુ્ય અને દદશ શોર્ો

1) 4 kN ઉત્તર પતિમ તરફ

2) 2 kN પવુણ સ થે 30º ન ખણેુ ઉત્તર તરફ

3) 3 kN પવુણ તરફ

4) 5 kN દલક્ષણ તરફ

૦૪

(d) State and Explain parallelogram law of force 04

(ડ) બળોન સમ ાંતર બ જુ ચર્ષુ્કોણનો તનયમ જણ વો. ૦૪

OR

(d) A weight of 15 tonne is to be lifted to a height of 20 m in 10 minutes. Find

necessary power. 04

(ડ) 15 ટન જેટલ ુવજન 20 મીટર ઊંચ ઈ પર 10 તમતનટમ ાં લઈ જવ મ ટે જરૂરી ક યણ શોર્ો.

૦૪

Q.3 (a) In a lifting machine an effort of 2 kN raised a load of 60 kN and an effort of 3

kN raised a load of 100 kN. The velocity ratio of machine is 50. Find the law

of machine and maximum efficiency of machine.

03

પ્રશ્ન. 3 (અ) એક સ દ યાંિથી 60 kN નુાં વજન 2 kN ન પ્રય સબળ વડે ઊંચક ય છે.તેમજ 100 kN નુાં વજન 3 kN ન પ્રય સબળ વડે ઊંચક ય છે.યાંિનો વેગ ગણુોતર 50 છે. તો યાંિનો તનયમ અને મહતમ ક યણક્ષમત શોર્ો.

૦૩

OR

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(a) Distinguish between centroid and centre of gravity. 03

(અ) તફ વત આપો. કે્ષિકેંદ્ર અને ગરુુત્વકેંદ્ર ૦૩

(b) State and explain law of machine. 03

(બ) યાંિનો તનયમ સમજાવો. ૦૩

OR

(b) Define force and explain its characteristic. 03

(બ) બળની વ્ય ખ્ય આપો અને તેતન લ ક્ષલણકત ઓ જણ વો. ૦૩

(c) State the advantages and disadvantages of friction.

04

(ક) ઘર્ણણન ફ યદ અને ગેરફ યદ જણ વો. ૦૪ OR

(c)

A body of weight 8 KN is lying on a rough inclined plane at an angle of

30ºwith horizontal. If the angle of friction is 25º find the minimum effort

parallel to the plane required just to support the body.

04

(ક) સમલક્ષતતજ સ થે 30º ન ખણેુ ઢળતી સપ ટી ઉપર 8 KN વજનનો એક પદ થણ પડેલો છે. જો ઘર્ણણકોણ 25º હોય તો પદ થણન ેસપ ટી પર ટેકવી ર ખવ મ ટે ઓછ મ ાં ઓછાં કેટલુાં બળ સપ ટીને સમ તાંર લ ગ ડવુાં પડશે.?

૦૪

(d) Define couple and its properties. 04

(ડ) બળયગુ્મની વ્ય ખ્ય આપી તેની લ ક્ષલણકત જણ વો. ૦૪

OR

(d) A law of machine for simple machine is p= (0.2w+4.0).Find out effort

required to lift of 100KN.Also calculate maximum mechanical advantage

maximum efficiency.

04

(ડ) એક સ દ યાંિનો તનયમ p= (0.2w+4.0) છે. તો 100 kN વજન ઉંચકવ કેટલુાં પ્રયત્નબળ આપવુાં પડશે તે શોર્ો અને જો વેગ ગણુોતર 40 હોય તો મહતમ ક યણદક્ષત અને મહતમ ય ાંતિક ફ યદો શોર્ો.

૦૪

Q.4 (a) Define: 1) efficiency 2) ideal machine 3) effort load in friction. 03

પ્રશ્ન. ૪ (અ) વ્ય ખ્ય આપો. 1) ક યણદક્ષત 2) આદશણ યાંિ 3) ઘર્ણણમ ાં વ્યય થયેલ પ્રયત્ન બળ

૦૩

OR

(a) Find the centroid of dam section with top width 3 m, bottom width 6 m and

height 9 m with one face vertical. 03

(અ) એક ડેમ સેક્શનની ઉપરની પહોળ ઈ 3 મીટર, નીચેની પહોળ ઇ 6 મીટર, ઊંચ ઇ 9 મીટર તથ એક બ જુ ઊધવણ છે. તેન ુકે્ષિકેંદ્ર શોર્ો.

૦૩

(b) Explain types of friction. 04

(બ) ઘર્ણણન પ્રક ર સમજાવો. ૦૪

OR

(b) Find the weight of a case if it requires 50.5 N effort to slide it up on the

inclined plane making 30º with horizontal plane. Assume coefficient of

friction = 0.20

04

(બ) સમલક્ષતતજ સપ ટી સ થે ૩૦°નો ખણુો કરતી ઢળતી સપ ટી પર એક કેસને ચઢ વવ મ ટે જો 50.5 N નુાં બળ જરૂરી હોય તો કેસનુાં વજન શોર્ો. ઘર્ણણ ાંક = 0.2 ર્ રો.

૦૪

(c) A simply supported beam 8 m span, subjected to two point loads 50 kN and 07

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100 kN at 2 m from each support. It is also subjected to uniformly distributed

load of 20 kN/ m on full length. Find reaction at the support.

(ક) એક સ દી રીતે ટેક વેલ પ ટડ નો ગ ળો 5 મીટર છે. દરેક આર્ રથી 2 મીટર ન અંતરે 50 kN અને 100 kN ન સાંકેંદદ્રત ભ ર લ ગે છે.તથ આખ ગ ળ ઉપર 20 kN/m નો સમતવતરીત ભ ર લ ગે છે.તો ટેક ની પ્રતતદક્રય ઓ શોર્ો.

૦૭

Q.5 (a) Explain law of static friction and dynamic friction 04

પ્રશ્ન. ૫ (અ) સ્થથત ઘર્ણણ અને ગતતક ઘર્ણણ સમજાવો. ૦૪

(b) Calculate the centroid of angle section ISA 90 x 90 x 6 mm keeping longer

leg vertical. 04

(બ) એંગલ સેક્સન ISA 90 x 90 x 6 mm નુાં મધયકેંદ્ર શોર્ો. લ ાંબો લેગ ઊભો ર ખો. ૦૪

(c) For a simple wheel and axle, the diameter of axle is 20 cm and diameter of wheel

is 50 cm. Find an effort required to lift a load of 1000N when efficiency of

machine is 80%

03

(ક) સ દ ચક્રનો વ્ય સ 50 સેમી અને ર્રીનો વ્ય સ 20 સેમી છે. યાંિની 80% ક યણદક્ષત એ 1000 N નુાં ઊંચકવ મ ટે જોઇર્ ુબળ શોર્ો.

૦૩

(d) Two force 100 kN each acting at an angle 45º between them. Find magnitude

and direction of the resultant. 03

(ડ) 100 kN નુાં એક એવ ાં બે બળો એક્બીજાને પરથપર 45° ન ખણેુ લ ગે છે, તો પદરણ મી બળની દદશ અને મલુ્ય શોર્ો.

૦૩

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GUJARAT TECHNOLOGICAL UNIVERSITY DIPLOMA ENGINEERING – SEMESTER – I • EXAMINATION – WINTER- 2016

Subject Code: 3300008 Date: 07- 01- 2017

Subject Name: APPLIED MECHANICS

Time: 02:30 PM TO 05:00 PM Total Marks: 70 Instructions:







Q.1 (a) Define Following:- (Any 8) 08

Q.1

Q.1.

(અ‍)

(b)

(બ)

1. Statics 2. Vector 3. Force 4. Resultant 5. Centroid

6. Moment 7. Angle of Repose 8. Work ‍‍9. Power

10. Kinetic Energy 11. Velocity Ratio 12. Mechanical advantage

વ્યાખ્યા આપો .( ગમે તે ૮ )

૧.સ્થિતત શાસ્ત્ર ૨.સદિશ ૩.બળ ૪.પદિણામી બળ ૫. ક્ષેત્ર કેંદ્ર ૬. બળ ધણૂ ૅ૭. તિશ્રામ કોણ ૮. કાયય ૯.‍કાયય‍ત્િિા ૧૦. ગતત શસ્તત ૧૧. િેગ ગણુોત્તિ ૧૨. યાાંતત્રક ફાયિો Answer in short. (Any 3) 1. Write characteristics of force.

2. Write different types of supports of beams.

3. Write difference between centre of gravity and centroid.

4. Write difference between potential and kinetic energy.

5. Write law of machine.

ટૂાંક મા જિાબ આપો.(ગમે તે ૩)

૦૮

06

૦૬

૧. બળ ની લાક્ષણણતતાઓ જણાિો. ૨. બીમ ના ટેકાઓ ના પ્રકાિ જણાિો. ૩. ગરુુત્િ કેંદ્ર અને ક્ષેત્ર કેંદ્ર નો તફાિત જણાિો. ૪. સ્થિતત‍શસ્તત અને ગતત શસ્તત નો તફાિત જણાિો. ૫.‍યાંત્ર‍નો‍તનયમ‍જણાિો.‍

Q.2 (a) Explain law of parallelogram of forces. 04

પ્રશ્ન. િ (અ) બળો નો સમાાંતિ બાજુ ચતષુ્કોણ નો તનયમ સમજાિો. ૦૪ OR

(a) Explain law of Polygon of forces. 04

(અ) બળો નો બહુકોણ નો તનયમ સમજાિો. ૦૪

.

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(b) Two tensile forces are acting at a point making an angle of 120º between

them. The bigger force is 60kN and resultant is perpendicular to smaller

force. Find resultant and smaller force.

05

(બ) બે તાણ બળો કોઇ એક ણબિંદૂ એ ૧૨૦º ના ખણૂ ેલાગ ેછે. મોટા બળ ન ુમલૂ્ય ૬૦ kN હોય અને પદિણામી બળ નાના બળ ને લાંબ દિશામા લાગત ુહોય તો‍પદિણામી બળ અને નાના બળ ન ુમલૂ્ય શોધો.

૦૫

OR

(b) The system shown in Fig. 1 is in equilibrium. Find unknown forces P and

Q.

05

(બ) આક્રુતત‍૧‍મા‍આપેલ‍બળ‍સમહૂ‍સમતોલનમા‍હોય‍તો‍બળ‍P અને‍Q‍શોધો.‍ ૦૫ (c) (i) Explain Lami’s Theorem.

(ii) Explain Law of Triangle.

05

(ક) (i)‍લામી‍નો‍પ્રમેય‍સમજાિો. (ii)‍તત્રકોણ‍નો‍તનયમ‍સમજાિો.‍

૦૫

OR

(c) A sphere weighing 600N and radius 300mm hangs by a string as shown

in Fig. 2. Find reaction of wall and tension in string.

05

(ક) આક્રુતત‍૨‍મા‍િશાયવ્યા‍મજુબ‍૬૦૦ N‍િજન‍તિા‍300‍mm‍તત્રજ્યા‍ધિાિતો‍ગોળો‍લટકાિેલ‍છે.‍િીિાલ‍ની‍પ્રતતદિયા‍તિા‍િોિી‍ન‍ુતાણ‍શોધો.‍

૦૫

Q.3 (a) Explain difference between moment and couple. 04

પ્રશ્ન. 3 (અ) બળ ધણૂ‍ૅતિા‍બળ‍યગુ્મ‍નો‍તફાિત‍સમજાિો.‍ ૦૪‍‍ OR

(a) Explain varignon’s theorem of moments. 04

(અ) િેદિગ્નોન‍નો‍બળ ધણૂ‍ૅનો‍પ્રમેય‍સમજાિો. ૦૪‍ (b) Find magnitude and direction of resultant for the system shown in Fig. 3. 05

(બ) આક્રુતત‍૩‍મા‍િશાયવ્યા‍મજુબ‍ના‍બળ‍સમહૂ‍માટે‍પદિણામી‍બળ‍ન‍ુમલૂ્ય‍તિા‍દિશા‍શોધો.‍

૦૫‍

OR

(b)

(બ)‍‍‍ Find support reaction for the beam shown in Fig. 4.

આક્રુતત‍૪‍મા‍િશાયવ્યા‍મજુબ‍ના‍બીમ‍માટે‍ટેકાઓ‍ની‍પ્રતતદિયા‍શોધો.‍ 05

‍૦૫‍

(c) Explain funicular polygon method to find location of resultant force for

parallel forces.

05

(ક) સમાાંતિ‍બળો‍માટે‍ફતનક્યલૂિ‍પોણલગોન‍ની‍આલેણિય‍િીત‍સમજાિો.‍ ૦૫‍ OR

(c) Find graphically location of resultant force for parallel forces as shown

in Fig.5

05

(ક) આક્રુતત‍૫‍મા‍િશાયવ્યા‍મજુબ‍ના‍સમાાંતિ‍બળો‍માટે‍પદિણામી‍બળ‍ન‍ુથિાન આલેણિય‍િીત‍િી‍શોધો.‍‍

૦૫‍

Q.4 (a) Explain axis of symmetry and axis of reference. 03

પ્રશ્ન. ૪ (અ) સમતમતત‍અક્ષ‍તિા‍અનસુાંધાન‍અક્ષ‍સમજાિો.‍ ૦૩

OR

3/4

(a) Explain laws of friction. 03

(અ) ઘર્યણ‍ના‍તનયમો‍સમજાિો. ૦૩

(b) Find at centroid of ISA 100×60×10 with longer leg vertical. 04

(બ) ISA 100×60×10‍ન‍ુકે્ષત્ર‍કેંદ્ર‍શોધો. ૦૪

OR

(b) Find the weight of a box if it requires 40N effort parallel to surface to

move it up on the inclined plane inclining 30º with horizontal. Assume

µ=0.25

04

(બ) સમાાંતિ સાિે‍૩૦º‍નો‍ખણૂો‍ધિાિતી‍ત્રાાંસી‍સપાટી‍પિ‍મકેૂલ‍બોક્ષ‍ને‍ઉપિ‍િસેડિા‍સપાટી‍ને‍સમાાંતિ‍‍૪૦N‍ન‍ુબળ‍જોઇએ‍છે.‍જો‍ઘર્યણાાંક‍૦.૨૫‍હોય‍તો‍બોક્ષ‍ન‍ુિજન‍શોધો.‍

૦૪

(c) A ladder weighing 200N is 4m long. It is resting against a smooth wall at

top and bottom end on rough floor. The angle of ladder with horizontal

is 60º.A man weighing 800 N is standing at top of the ladder. Find

minimum horizontal force P required at bottom of ladder to prevent

sliding. µf = 0.25

07

(ક) એક‍૪‍મી.‍લાાંબી‍તનસિણી‍૨૦૦ N‍િજન‍ધિાિે‍છે.‍જેને‍સમાાંતિ‍સાિે‍૬૦º‍ના‍ખણૂે‍લીથસી‍િીિાલ‍સાિે‍અને‍િિબચડી‍જમીન‍પિ‍ટેકિેલ‍છે.‍તનસિણી‍ની‍ટોચ‍પિ‍૮૦૦ N‍િજન‍નો‍માણસ‍ઉભેલ‍છે.‍તનસિણી‍ને‍સિકતી‍અટકાિિા‍જમીન‍પિ‍સમાાંતિ‍દિશા‍મા‍જરુિી‍બળ‍P‍શોધો.‍µf = ૦.૨૫‍

૦૭

Q.5 (a) Explain reversible machine and self locking machine. 03

પ્રશ્ન. ૫ (અ) પદિિતતિ‍અને‍અપદિિતતિ‍યાંત્ર‍સમજાિો.‍ ૦૩‍ (b) For a simple wheel and axle diameter of axle is 30cm and diameter of

wheel is 75cm. Find an effort required to lift a load of 1200N if efficiency

is 75%.

03

(બ) સાિા‍ચિ‍અને‍ધદિ‍માટે‍ચિ‍નો‍વ્યાસ‍૭૫cm‍તિા‍ધદિ‍નો‍વ્યાસ‍૩૦ cm‍છે.‍જો‍કાયયક્ષમતા‍૭૫%‍હોય‍તો‍૧૨૦૦N‍ભાિ‍ઉંચકિા‍જરુિી‍પ્રયત્ન‍બળ‍શોધો.

૦૩‍

(c) A train weighing 1800kN is pulled on level track at a speed of 36kmph by

an engine if frictional resistance is 10N/kN. Calculate power of engine in

kW and H.P.

04

(ક) ૧૮૦૦kN‍િજન‍ધિાિતી‍એક‍ટૈ્રન‍સમાાંતિ‍દિશા‍મા‍૩૬kmph‍ની‍ઝ્ડપે‍િોડી‍િહલે‍છે.‍જો‍ઘર્યણ‍અિિોધ‍૧૦N/kN‍હોય‍તો‍એંજીન‍નો‍પાિિ‍kW

અને‍H.P‍મા‍શોધો.‍

૦૪‍

(d) Water is to be lifted from a well 10m deep in a tank 3m×2m×1m at 15m

above G.L. in 40 minute. Calculate the power required by pump in kW

and H.P.

04

(ડ) ૧૦ m‍ઉંડા‍કૂિા‍મા‍િી‍પાણી‍પાંપ‍િડે‍જમીન‍િી‍15‍m‍ઉંચાઈ‍પિ‍આિેલ‍૩m×૨m×૧m‍માપ‍ની‍ટાાંકી‍મા‍ભિિા‍મા‍આિે‍છે.‍પાંપ‍નો‍પાિિ‍kW અને‍ H.P‍મા‍શોધો.‍‍‍

૦૪‍

‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍‍************

gujarat technological university, ahmedabad, …resultant &equilibriumforces. conditionsof...

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