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1 (Ee. + Ei) .... u.. ... .r-ll B ~~I ~ ~,~ ~'!';'~..)l:J4,Vc=Om/S,l~I~.l"""..:u~\ : CE~\ J

. >..,I>1.JJ11fl'u.. ....

.J.~b..:. ,-,.'".;4 ... .r-JI ~ (Wm ,>O) ~~,.., (Wm,) ~'40 J;.?' tll) J ! (A~

. .ulb .W ... .,..JI ~ (Wm ,

j . ..... \:)If'~(Epe) ..,'r-l' .... \bl I ,;, ! >Ju."..., ~ J ~ ~ .4,.)1.41 (A) ~ro-J' ~ (Ec.+Ei)"u.. >.4,.)1.41 (B) ~~I ~ (EP.+Ei)"u.. >.4,.)1.41 (C)~~I ~

:.,.,.1.4! ~~ ....

(....&Wl+ ~)~l ~~\ ) A1.J 4\.,I~lbl l 4~/ , ., ..... 1I_J.'-' ~ ~ 3-( I! l liA ) """'" ro-J' J:~

,djlb]1 ~~I ~ [J..J:Ij ' ~ ~ ~.l~ ~~ ~jilb.lI 61: , o,.J, ~ \."Ij05\bJ1 4:1.1:, ,0"'..1\ ~ ~-*'""..J.,...::tj \..a, Ei=OJ A..j..a... ~LLII Ailbl\ ~.

~l..:! , "-:!Jt:A:J\ 4.:.A\S.J\ Clilbl\ * """,,1~ , ~ ~\ ClilbJ! 'Ir

iU C!! L~.!:"-" Jl" ~L:r,j,j , ~ ~I aA\bJ1 '*

.J..Il.JJ=1 : ~j~\ a.l.4\S.11 Ai\.bJ1

(1 -1 1 ;r.~"""'..J. ..,.,.= , ~.,..JI ;";\bJ1 ~I~ . ~,..".-..JI ~\S.I\ A.i\bJ\ .

__ ~11w,.~1 ~~I ilu' " ~ b>..uJ . (B )~~y~ (A)~~I V" fi">...w .......

(~I) (C)

A

B+

~ Ei >"b-I.I ;";\bJ1 l u;r-'l' ~ il u'>"'" (C) .1 (A ) "" ..,.~

(u'> )~I. ~I) ;u.,.J1 )~y 1 (C) .1 (B) (A) ~I~I il ;u.,.J1;";u.. JIS:.:.I ~~ ~ 1

.bj4-J1 >.bo.J . (C) .1 (A) ~J1' "" L41...,,.\bJI'1 .a,.]1 J.. ~ 2

(~I ) ;u.,.J1 )~y ..... . 2.1 l;wl >J1;..J1 " ",6.~I -",1 1o.!lb..,..,.4lj"j~1 ~))u ~4.:U~j~l b~~ .~ ~ >"b-I.I ;";\bJ1 , 1>,. ...... .;. il )I~~I ~ ~ .... 1 ""'.1 .)~y D""

.4..,l1:!

-~, ~ '

..hJ\ (....,..o) ~ \ + .... ~I) i\l.-ll ~u . 1

il..!lbJl JlS..o.l .J..!~ !l l Ei, EPPA~ OJ, EeA=OJ , A~,-JI J

--"'1. Epp,=OJ, Ei, Eee o{b~I "-bo.J) , Ce',-JIJ . ~r-____________________ --'-"CI...o= "',-'c:Jb; !:"\:JI)~~IJ;~II.:u,.9 ,~I u'! Wm l.;>:..U~~.?'

31

.(Ee) ~.r-l, ""\b .l;1j-lli ""Jill ,bOy bA...., ~I ~ ,,>.ill"" (~""Jili ,~l.6 '4jA\bJ\ ;:"1.! , o,J \~ \.iI

Wm WE" .. 1. Ec ... =O ~.$;lr~.r-=:~ ~! ~4~jS-j~)~1~~~lbid-~ . ~

~ ~1 ~\b.lU ~ ~j.~:il A JI.."r> ~ J.J~~ , o\\.uo...i ~\j ~ ;:il l,)A ~ ~\;...i'iL) ~ ~.:.>' '.JJ''''u..J' ,;.1 . - .

. 'i~ \.l4., ~~ I,)j-l (~1 Ul.b ll) E , Epp, Be ~ Lill.... . h tWJ~

40 BiJ)

40f----BiJ)

401---",

20 ;;0t---'\2-'::;4~m+,hlm) "0;f----+h1m) 0;;l"'-2;-.....,4m::+h1m)

. ~I (:0 ,.aJ ~L:J.I il..i1l.:aJ, ~ JSJ..l.J.> ~ 1 ,\!~Ib 6J j';'" "'" J. j ,.., ~ (..,., )-~) ou..,.J' "'Ib ",1 J. ~

..!.l:i..Jb1 . . . . ) .

. h=2mtwA .. ~ ~ .,,~u..J"" 'o..J ' Ji.. ~ 3

...wl

fol "'~ (u'>;1 - 1"-'") >J..,.J Epp '43= .... ~I Aj\bJ1 ",i,.w ~ ~, ~..w, Lo=(Epp=OJ) .... , ..... ~, uS---; Lo foi h t""J~1 "'~ I.! uS---; Lo ~' .(h=Om) t",,_, ~1

~ ('43u.:J1 .... ~I Ajlb\! ."..,...,ll c$J'-l1 ..".. u'>J~1 ",1 ) ,,"",1 ~ 1-"",) ','a 1 E,=Epp l ,,,,.! . (E,) ~ t" ,j.'1J' (..llO.lll .-""

J.,ol,;o:;, .h=4m t",,;I~I \,I (Ee=OJ) .... -'-'-"-' ",p ~ Ee ~ r-l, Aj\'oJl Loi, 1 'u' ~I ~ 0" (h) "-"-"";1 ""'" WS .)'-'-I~, -foi .. 1....< ,--,.JI .,... WS ~ . ,0

",1' "'""" (h=Om) ,,,,1 t",,)~I~..w, Lo= Ee=40J uS---; Lo ~i ~, 1 E1=Ec 1 :0j ! 1 Ec~~\~El~1 1 ~I Aj\bJ1 ~ ~ ~ ~ W, t""J~1 "'~ ~ , E, = '-"II> ",1 h>-~ ~

1 E2=E 1 E'4KI141..!1bI1~E2~IOj! , E E=Ei+Ee+Epp . ..,.4 Lob ~1 "\bJI.bl... ~ ~ 2

(E, ",,,,pl) Epp=40J . (h=4m) t",,;I~I .) . (El "'''' p l)

E=Ei+401

Ee=OJ

E=Ei+40+0

Ec=40J , Epp=OJ = ~1..J.:..,!~ \ E 0~ ~l:!(E) oi b>~

. 4~1b >.J ,joA

h=2m t. I.i;l~ A,, ~lbJl ,,1 .. o...Jl ~ Epp=20J ,,,,1 E, ~I.;,.o .>,..; t",,~1 W ~

Ec=20J , .>,..; w...1. E, ~I.;,.o,

h=2m , h=4m =t.o:;)~1 "'" .... 11;".:ll;l.:..: .. , Epp,=20J Epp,= 40J '\!

Ec,=20J --_. Ec,= OJ 'l, __ ----..:'..,4~- _ L.b ",,.IJ,,J"I, o..J1 ",1> )

pp,.401 "1"" , Ec

2=20J

..... 1. ... Ee =OJ ,

-~ ,0

"Jf-. ~I a3\bJ13 J.u.l1 .;.2 i>..I>~ 1 Be, W '4,Ib.....:.~1

1 o~\ o.9\hl\9 ~~\

.~~,4 .!i; ' f ~~l.:I .l!BB'B )t.......J'l$j'~ AA'A ) t.......J\ , 2J~'

A.......... "

ii '" ....... ~ .... , ........ ~~ .......... _.. . ....... , ..... " .. , .. ,,s"

B'

- , ',' ". " __ 1'" " BB'B" '"", AA'A" " ,~~ ~. o.=J-'""'I.:I ~. )~ 'i') ~ ) W04-I

I ~ . . ,., 'llJG cS"" t...o, ., ..... 6...U'>.S .!l "CS.:.JI.....l..,)I .. _ ll b ",-~ 'e" '-i" . ,3 _) .9-'-4 ) ..... - . ? ~ _ . \--.- ~

Wl:i::.J ~)...l.:!9 c.'.A ".'0 .'4, ~)l1),.,j ~l l.a~.J> d.....1).l ~ \jJ .V (u:~1 ,.w..J ~t,. V "".1"" ~1~1 1.i4l .;.I Jj1j ,~I w Jf'o >.s.J> u..)~.!lI';"

.~

2 2

~b d..b..i 01 Jll~ pj:J t$.lJI~ ~\..i..jl~ I.l J ~ ~~1 ~I o~ U' JjLI .~I ';~\ .,..a

.~=lj.,.~J...al' , ~. :"'=' t.wl .;J'./ .b; J.O.l. \.0=...,1> F ...,I> .,. J-'

W AB(F ) = F.d cosa , a.,.JUJlo ) \.,uJl,I AB , F ~",jljJ l "" a , ABJ=~I y>d ,~

F a -

- . F ' , ,

ct ............. . Af-'---r'''--.iS ......... i .......... .

J=~lt~ )I.JI :.;,.., L> cO>)J L. 3 2

F ct .","'_ ...... ____ B

0.=00

a = 0,.;.\0

,Q

( 37

u = 1t Q

A

com = - 1 t" a =n '!>~w..~ l.4I jAB // F j.oblS I~! 1 w jii)=-Fd 1 w jii) = Fd(-l ) ' '''-'j

, h, , ,-

: IVO ..l... A

p

.

- - 1t W ,,(F) =Fdcos- =Fd (O) '~! 2

. J=~I j.ob ')'

"g~IJ JA:JI."" ~ J,..!l ~I"")o 0" ~1';')olY ~ ~ JA:JIJ..o Z .""",, jA-l1 "'" H t l,;) ~I

ZB nn __ n_n Ji 1 W(p) = p(Z, -Z, ) 1 Ji 1 W(p)=ph 1

o -p

h = IZ , - Z,1 1 e-'

.l.;> jA JA:JIJ..o " jS.;,.....-J1 ~ I~! . .4J1.. JA:JIJ..o "jS.;,.....-J1 -'=' I~! .

: W~ ~ Ec ~~I "IblI - 3

a.L+< r=+-Yv .... ........... . o -. __ ~ __ ~ ______ .r - ~~

A.........llL V ~ ~b.......,j \ ~ ..!.l - lM ~ ~ A...S~' i\.!lb.!1 .. _ . . ->J.~ . . Ec = -MV' , "-JWI.)laJu ..... .. ~ ' --1 2 . . . ~w~ l~

.(Kg) .;,.....-JI ~ ,M .(m l s).; i6.~1 rWl ~y,.....-JI "".,.. ,V

. (J).;~~~I "'\blI , Ec

1 -i>r"l\

~J>"oJ\ (Yl?-~1 ;..>1 1 ~ ~ d..,.y~! ~. d.l 2 . _ ~ 0" h =U)1 .".ill (A) ~jA-l1 C>-' = fol' Jill! ~ P J:iilll';": ~

)t.,..ly..,w,.. '-"')~I ~0" z, .,.~.H .".ill (B)~jA-l1 ci! W(P)=P(Z, -Z,) , , W(P) =P(Z,-Z,) , .."

W(P) =-P(Z,-Z,) '-?-

J;Jl . , ~ 4 , ~ 1

2~~\

- -J>:.:Jy c,""y ~ ~ F.}Ab ~ a ~ 20 "'jl; ~ d

- - -FoJAl I ~..,...,.I ~ 1 J)l> 'JAl' .~ >.b..~1 ""1bO...~1 ..,...,.1 ~ 2

.llt = 5s(rj W--- YL

" 1

d=4 rn

W(f) ~ IOx4xco,20

..h.l\ F jAlJ WI F j...J1 ~I..> ~ 1 , "",,'--""~y W(f)~ Fd _co,a , ~ W(f) ')~ ~

W ( F ) ~ 40 x 0,94 , ri W------::( F'---) -~ -3J'1

1 P;;;7,6Watt 1

R

p ~3B 5

, JoU . --" 1.. . ~::!"""""" . E P ~- . ,

p ~ W(F) 6'

m" ,lL P . F cSJAlI Ji.' 1>1.. ~ 1 ')4-Jll ~W!R) j W(P) jW(F) ..,...,.1 ~ .d=2KmJI.".mdj ~ 1"; . )I...o,;t~ --

m = 1400Kg , )4-J1 >.Ub P

.g = ION/Kg , R = 1,2 .1O' N , F = 3.10'

-~ ,0

~ :'3 '

-

F

chJl .( >br-l"j>JI );)L,..JI ~>;~."... . F ;j>JI . l

.P = mg ;)L,..JI J:a:.;~.".... P ;j>J1 . l>J~' ~ ~ybl' ~.lJ oj! ,i 'u-")J.jJ\ [)~ : R l>j4l1

d

(il ) j P j F ~.."I..> . 2 J=~I Ji.:. t.b ,J1 Ji.:. (a) "'jljll ""'" J4..,> ~ d "",~I

.J=~lj;~..lb ~

W(F )= F.dcosa ,d=2Km =2000m - -(l =0, j !, ~~~,d JAl> I$jlj:.1 F JAl>

W(F) =3.10' x2000xcosO ...... j . .!l __ ~F ~l ukJ""'(+) ;)W.~I 1 W(F)=6.10' J=+6.10' KJ 1

- " " W(P) = P.dxcos- >! (-) cSjW ] W(P) =Pd x O 1 W(P)=OJ 1

2 2-

,il' ~ .li

W(R) =1,2.10' x2000 cos 150' =2,4.lO' (- 0,866)

W(R) =-2,o8.lO' 1 W(R)=-2,1. 10' JI

41,

r~J=~l uk ..,>~I ;j>JI~ >! , W(R) ",,1..>

a = 30' ~ja = 150'. ~ , W(R) =R.dcosa

-'Z. A ... ~ .....

......

B I>JWI

AB = 50cm , ABJUW!J,>I""F = 5,ON~

~. ~. -~ ',~

: ..L>-J\ )t..... .J5. J JA:JI J..; ..,lc ~I .?' J=~l ~ !~~ . (+ ) O)\.:.~1 ~~I .?' J=~l~ c;!~~, (-) O)\.:.~1

.(h) .)~WJl t)~I ..,lc ~J.W .!l~I J,o)o>JI ..,lc ~ ~ J"'olIJ,....! , . (B ), (A ) ()':!

W (P) ~ - Ph~-mg h (1))c....lJ ~I,o. 2em.,. J4.o 9'>' (B), (A ) ()':! .)~WJl t)~1 .h

h=5 x2=10m ' v.3! lem Sm ~)! I,.)"'~~j W(P) ~ -0,l x 9 ,8 x l0 . ........ "".9" Nr-I -----,

. W(P)~ -9,8J -~ .(2))c....lJ ~I,o.

rl-W-(-'p-)~-OJ-'I ~! h = Dm (3))c....lJ ~I,o.

R' ~ 5m u.. 9'>, (B ), (A )()':! .)~WJl t)~1 J.WJ,. .) t......Il (Y f"4,I ~ W(P) ~+mgh '~!

~ 0,1 x 8,8 x 5

. m = 58,4 g ~ """" o;SJ 269Kml h 01.;-,,", Jp-,... .Be ~pJl ~lh~1

1 Ec =-mV 2 2

Ec ~163J

~I . ~ ~",.JI "Ibll ~b>

, "'" ~ rol' .. Ibll. )"" ..,b>:l

269 V = 36 = 74,7m/s , .......... (mls) J! \fl~ , V = 269Kmlh , u"..Il

, Ec=~(58,4.10-')(74,7) ' ' .......... u'>~ 2

J"'" .,. ~b ""'" ..... I .;.,;b " ?-JI (>AM = 1200Kg ~ ' )4-. . . . d = 200m ... l.....::ab> t. ..... ,(108Kmlh) '-"'.,..JI ~ F,=3.103N ~ F,

.f = 300N ~ ..... ~ f .!J~! '~ ~. )c"..J1 01 u'>' .. . ,,)lb:,~1

-'.~

:Be2 ~.r-J\ 4.!1bJ' -,.Il........> !l 2 (m/s) JJJ~V, =108Km/h ~ Ec ,=!:.MV ~ ' J4..I1 2

Mc = 5,4.10'-0 , 1 Mc = 5,4.1O' J 1

V =108 Km = 108 =30mls , h 3 6 ,

';Jc,...ll >J\bc foJ-' ..... (c) ~ .l1 ~ J4>, .!l~~I ;~ , f ,.lI,F,

Z,)4-Jl~ , P

.; Jc,...ll (J ';").1 J.:. ""'" lA ,1 ,(J.o.4l1 ~J) ..,....~I ;j>.l >.,..bUll "-'= r-JI R, , ;) j-! .JS.l ~~I _l.-ll ..,-l'l.......> 1 !I 5

] W( F, !=+Fd =3 .lO' x200= 6.10' J

~' W((! =-fd =- 300x200 =-6.10' J

: z,)~I ~;)P~I..s#\ ~~~J~l ~-.".I1.......:> . ~

Iw(!= W(F, ! + W((!+ W(P!+ W(R, ! =6.10' - 6.10' + 0 + 0

1 I W cP! - 5,4.10' J 1

I W(F) j (Mc) .Jl,> "'; l4.!1 . 1 ~ 6

1 Mc =I W(F)=S,4.10 , J l Ji".)l;

Mc= I W(F) 'l~ ~.e-JI 4A1.b.l \ 6...!# ~ ~\,)~ ...,..

~ __ 1\ li\bJ1 ..I .\;.... . . r- . J- J1 &4?' Jt..ol~.,sjl. >J..,.J Mc ~r-J' '''1bJ1 "";:> ! .Mc= I(F)~ .:-',w...J~t,.Oj '~

.100m u'~1 ~0" t"'-" J.? WC>-'..,;-.~,.J,> v-...." .,'j4Il tA '"14> ~I

.150Kg.,sjl. ~1~l L.lcJ>ll" ,.0=~i ~ l g=9,8NIKg ~ ~..r-JI a51.b.l1 ....,..,.....:>1., lil.b.lllO~! A1.l1.a.o ~1 !J

.(,'j4Il"'j"'" J..4') . u' ~1 ~ J! Alj">j >JQ,.J ~ . .ll4>~~~1 !J 3 ~.r-l' '''1bJ1 "'".., ~t:i....1 ~ ... I J,.,j ~ ",,.1bJ1 ",mJI J... ~

W(P) =+ P.h W(P) = mg h=lS0 x 9,8 x 100 = 147000

W(P)=1,47.1O' J

. ,

..!il.b.ll JQ~l dJ.ll.a.4 UA li~1

c.W\ J>lll ',00= ... 1..> ~ l

. \> Jo . >.lb :o . ~ . _ II I l." U . .r.- 'iJ..r- .

-3 ',~

-: ,0

d..i\bJ\ b\..:....j! AJ..lI..:&.4 A,il.S ~ 2 (~I ci! Ot....,JI(>' .,,=,) .~WI ~L, ~ ~I ~ .... \bJ1 blh.;! >.bt...

~ ~I...,I~\ d..ilbll + dl!Q; ",h d..ilbl\ OI..A..I d..i\bll = ~ ~~I M\bJ\

.~)b.J I 4b~ I'Wl ~.?A.i\b . . ' "lS! . . l~ :J ~d..:~I A.i\bJ I

Ee, + W(P) - a = Ee,

' ...i?) ~ \ r...b.... ~ b~\ i\h.J ~ ~I d..i\bJ\ -.,.Il....> ~~)i rWl~'L,I U==l.. ~~\ (.l:J Vl =Om/s ~ Ec

J= ~mv~ ,~..

Ec l =OJ :(.l.ll .J+?JI .)..c. Al~! . " ~I "'jwJ~~ I':"'j L:W!F) = W(P) .,) \.6

Ee, = l,47.1O'J . ..... j 1 Ee,= W(P) 1 ~!

4.6::. __ 1\ A.!\bJI Ou .~', ?:,I..:i...l:i.-- .r- -.;-- ....

Ec,+W(P) =Ec2 ?.j\bJ\b~\ AJ..lbA -"

. f ""'~ .:J~! ~ .... I .......... ':;.,.I4l"-l.:JP:;j M=O,5K~ "-.JI' t" " 1-""'--'Ajj ..... M i M I , Mo y~'~\~..,...i~I~'~~' ~jJl

(, = 0,04s)

111 t 1 t 11111 n ! 111 111111111 . (V, . v,. v, U..JI llIa.c.,-lI ..... ~ ul "'j .....,jl IJ~1 ,-l-JI J~"j M ,M , .... 7cm..,., """"",,

1 MgM,=O,28cml . ..... MgM,=7x4=28cm , u . ! 4cm __ lcm

,v = 0.28 : .l! , t =0,045 , l..l..!...lI l 2xO,04 -

, v ;" b...l!1 lu: .,11 ~ 2~ .;-' -: ~~'J~4jM1M3-75cm ~i.>"'~\,I V ]= M j M 3

. 2t M,M, = 5 x 4 = 20cm = 0,2m ,-____ -,

1 V,=2,5m/s . V = 0,2 -~ ~' -3 '.~

. , 2(0,04)

,v 4,b.,. lh ~ ,I,~ 3 - .r- _

..,.. ...... .l M,M, = 3 x 4 =12cm = 0,12m

/ V = 0,12 V, = 1,5m 5 , 2(0,04)

:i J! "\Jo r.lXo I..> .. '; .. J\ .. J,o ~~ .. \Jo ~ ~ .)w", ' ... J>ll JO ~ ',~ '4J, ,Wm,= W(j ) ~~ J,o"":;.l".l ( f ) .!l15:O.>~ 1 '~...,...... ..... JIO.J I b..~1

49

Wm:W(P)

Ec,J!(Ec,) 0" ~",.JI ~\Jo ~y.,wJ1 .".. w;. ... ~\bJ1 >.k.WI ",t. I.lJ.l

,W ( f ) .!l15:O.>~1 '~ J..

- l 2:1 - W(f)=--M(V -V ' \

2 ,"

- W(j) = -1(0,5)(3,5' -2,5')

I - W(f) = -1,5J 1

f = 1,5 0.12

.

f .J~ '4'\ ~ ~ ~I.....> ...,...

d=M,M , , .:c;.tH' .. W(j) =-fd 'ut,-h> M 1M 2 ~ 3em ' ~iJ"'~y

d=M,M, =3 x 4=12cm , ..,...,.w' J~~j

1 f= 12,5N 1

~,V, ..,,' .... ! ",_.!l~~' ''''J..4"","", ; ."..t ~,,~ "'fo~"' . J,.\4.l '~' ,;l~~ jA ~ ~G.J.!lF"" 'V, =4m/

.(B), (Al ~ ~'jA-l~ r.ll

d.A~, il!\bJ\ - ;"I.'i,,' q Il il!\bJ\ + ~yS1.l ~\~~1 j>~)F =O~W(P)=OJ 'OSJ E,+W(F)-W(;)=E , (.!lln>"~"\'>j>~lf = 'o~ Wcf)=OJ ,.!lJ~ J=~I ...,Lo ,,~_ R, 'o ~ W(R, )=OJ 'oI J!'4-"~It"

E,=EA 'O.! J=~I...,Lo,,~_P~W(P)=OJ ,.!lJ~ 1 VA = Vo = 4m1s l , ~.:.A .!mV2=..!.mV 2

1;..- 22 A

.. ---- - C , ,

, ;)Ib-J, ~ )~, ~I... l ~ 2 (A) ~~I"" "'lbJl lOl4o.,;l >J~l..o w.;1~

, ,,1 "";-JI "",~..Ll ".iJI(B)j Eea = OJ , ....... j VA =Om/S

, '

A E",+O - W(P) =ECB 1 , .l! -p ECB = ~4I-iJ \ il!1bJ\ , ECA = ~\~::.'\

w (P) = mgh = .... .l4.l1 .... \bJ1 ("-!lt.. ",j!:l) - mgh = .... .l4.lI .... \bJI , ,,,l'~'''''' >';~I ", t..,.,

(.>A ."s:..J1 J,.\4.l1 JS:.WI \,l ( .... ,.. ,., w= (B) , (A) "'" .;,.\.lJ1 tU)~I,., ,h .;,.p. R = h, + h , ~JS:.W'

1 h=R-h, l ,

-j . ,----------_.:...:...==; -::> . , (AB) " 1 _l'.' .\... .,. >..ll..wl'" ' ..u (A) >.W.;, . "- " . .-< ,.,...".~ ..,,- ..,,- ~r- "'"" j. . .JM' u j . (>-' "'"""" y.A

-~: -3 '.'lI

.0

~ -~ ','ll

. Vs = 15m/s ... .,..., u = 30 .... "j\j .(BD)Jli.4".....,I..\; ..... j (B)iIb4.J .m=80Kg.s J...:)",->~"-., . II >.l;b . .!l~~I.si

. j . oH "'"""" r- ~ j :>-" AB = 100m J=~I , l.i>I~ j:M.JI i4J.i,.;c}J1 F ..... I.JJI .JAlI ..... -.,....>1 ~ 1

R

. (B) ~jA-lI (>-' 1; 1..w1 i4J.i,.;,," I ~.:,oJI ~ ~ j:M.JI '-'.!j< ~ .BC = 20m 1 Wc ,(C)~jA-lI.;lVc~ j:M.JI ... .JM'~I . 1

.g = 9.8NIKg;,.;.~ .BD )J....JIJjb~I>,(D)='-'.!""~j:M.Jld~! ~ 3 .~ j:M.JI iI4...J (C) j (B) ~jA-lI ();, .,.,.Ibll 'IJ,o~1 bd ~

..wl

-

C+--+ F

F ~l..l11 ~,.;All ~ ~I.....> !J 1 ~ j'..JJ (C) OJIbsJI fo.Jo' (>-' .sJAlI J.l..:o OJj&-Il ......,.

(B) j (A) ~jA-lI ();, "Ibll b\h;! OJ>l>.o ~ E", +W(F)=E" , WcF)=E",-E",

;0;. ....... -1--... ECA =OJ l..O;lj ,W(F)=F.AB ,~

-p

R JS

F=90N

1 , -F.AB= - mV,-O W(P). ~! 2

F= 80x(15) ' . ~u"~ 2x100

, Vc ~I.....> !J 2 li.9 P w> 9 dl> j.W1 ~ ~ P j..-ll "". ~I Jl.:> i

hl [ h2 --_""-::-I-"!! - - - - -' - - -'- - - - _.

A B P

(C) (B)' 6..\bJl bth.nJ~l.A' .t... . .9 "'" . ..,..,-

1 ] . 1 :2 ., ".,' 1 :2 1 :2 -V,-gh, =-Vc ......... m J~. -mV,-mgh,=- Vc, E +0 W(P-) - E 2 2' ~-- 2 2 " - - cc

sina 6..~ ~ I-'J. (a) "'.9'jlJ J,.\4.JI.9"(h, ).:>"l 1 ] . 1 2 h h - Vs-gxBC xsma =-Vc , sma =----L. l= BCxsina 2 2 BC

1 V c=JV~- 2g . BC.sina V c=5,4m /s 1

1 . Vi- 2g.BC.Sina = Vg ,~(2)~'-:-I~ Vc=~(15) 2 -2x9,8x20xsin30 ' ~~p.J

. BD ) 1......)1 J jb.,.l-> 2 . (h,) t tAo )~I w.,1.9 ' BD .. 1......)1 J~I t" ,J;WI JS.l.l1 ...,..., ~

. .w (D) .9(B) """,jA-lI"", 6..\bJ1 bth,;! 1 ..... J~Y

-~,

Va = Omis , """, ~! (D ) ~~I ="""~ JI> j4.lll J...>j h

2= V; . !mV;-mgh 2= O : ~~j

V' BD .sinn =-' 2g

2g 2 .

h2 = BDsina. , o1~

-.~ , (15) ' ' BD = =23 BD = vi

2gsino. 0- 2(9,8) sin 30 -~ LI _BD_ =_2_3_m....J

~ ,(Cl1JB) ..;>=~'~_~.,;...J' >J..,.J ..,,.IbJi>I"o>ll~ ~ 3 .Q H () ,0 0A 1!'-4 ~t>:,....JI J,.~1 l' ~j JI> j4J1 i.o>-.;;;u.;..u."c ""';" l b...~ N ",I b...~ , W(P) =-mg h" t.I J=~I~ .,s~_ i , W(R)= OJ ' cP ,i,p

, ~w= :lj!\bJ\ A ll , o..J \ ~b \.J.J , ...,.Jt....

1i 1, .. \...0 ~ ,(A) 4loJu 0A \>)U.,;! ,(15ml s)""-,"", ~" ~ L,J~t.:.';fo':' '" ~ .(J5:.:.lI) "'" ;" 1:?-0"(1,6m

v B= Om /s (8) .-,

, ,

1 V I 11

A t l , ,

1,6m ~ le ' 1

.",ul ol,t;I~I y...>1 ~ l (..,IbJIJ.;,(A,.;! 'bL...;~!l .~) :.: , ~)l..~.;~\ iu:.>-~~\ Il

g=9,BNI Kg , ..,b>,>

~I ~~l t)~ I -."Jl....> .!l I

.JS:.WI,;! w.,.; 1: .... jA J'> ~.v. = Omis ~I ~.J"'" ?..1 ... ,. foll .w.,;, t)1 '-"""'1 \,1 (B) j (A) u;; "1bJ1 bw..;! al~t... ~

eu..J..4..l1 dj\bJ\ 4' ,';'-''' ' ~\ iI..j\bJ\ + o,p:LI ~\~'il ailbl\ ~ ..... ~I .. IbJI=

V .= Om ls .;,~ E,,= OJ ~ ECA +WcP)-O=E" 1 , -- mV A =-W(P) : .)!

_ _ 2 W(P) = -mgh , -sl411... oP" W(P)J>:JI J..,; 0 \.9 ....... ,-...,.Jlol l4,j

1 h=V; l ,~mv;=-(-mgh) ' '''''''u'>~ 2g

1 h =11,51 h= (15) ' "' 1148m 2(9.8) ~) ::{I ~'}l.. ~ ;)".s.J\ "".r"' ~ :~' .!I 2

~~\ ~ i\j\bl11OlA:J..j! (IJ.JbA ..I.J.J.?- u-o ~ ~ (C) j (B) """,~IU;; , Jj~I ",,}';If' \,I,-...,.JI o~ (+) ')L.:.~I (C)j(B).:,.- h,.o,., ,(B) J ! (A).:,.-

h = AC

V~=V!+2gh -

1 2 1 2 - mVA+mgh=-mVc 2 2

~:I Vc" 16ml s 1 Vc ~ .j'7(1'"'S'"')""2-+-=2-x-=9-O,8C-x-01-=6 , ...,.,. u'o~ "" -3 '.'a

j4JIUA """", ~ ,-.....JI-!l. W(P) ,-.....J".:...Jio'o~.;L..o~I . I " 1

. (BhJ! (A ) UA J:ill; lA . B C a=60ol L.k ,( C) d.b:i.lJ! ~JlllI~~1 .-...,..I (C)~I ;;.!lJ';';', ,(B)~I ;;Ec8 , ..jlbJl .;""bd "

p

. g=9.8NIKg~~ .Ec

..hJ\ ,(BI JI (AI,.,.. J=~I , ,,,"1 J>:.l"; L..o...!.' " 1

W(P) ~ +mgh l ,,,\>hu,-.....JI,,I t..,

h, +h = h, ,,,I~I UAb>~ h = h, .h, , ..... , ~ ""I,;JI ;,t;.. ~(h,) ,,1 w.,,1 b>~

cos ~ >.j)le ~ J cos p = ;,4- =!!.1. , ~!

-'" JlI R

hl =R cosa h=Rcosp -Rcosa

1 h = R(eo, ~ -co,a) 1

(C) ~I J j..A.:J1 ~ -.,.lb> . --,.1 W(P) .;1." \.! u"~ 1.WI

W(P) =0,025 x9.8 xO,4 (1- co, 60)

W(P )=0,049= 4,9 .10-' J 1

.!B l t"",tI\.!Ee i4b.r-l, .... \bJI, ) t..c ~ 2 Ec.. +W(P)-O=E" , """"..,.illl ;u.;...).c .... \bJ1 b",,",! >Jou.. ~

(A UA ,j)\h;~ll VA = Omis 'O~ , EeA = OJ ,~

Ecc=mgR (l-cos o.)

Ecs= mgR(cosP -casa) 1 ,Ecc o)4-c ' ~! cosO=I,~=O ,(C)t"'~I\.!

-~ ',ca

-

,Q

:9 ','il

1 1I\>J,\ "-.9lbll,9 ~I .:. i ~-I.:> JI

Ee. W 6.."1),9..u1 dJf=. r-JI

,

'4;1.>\1 ~rJl ;;"'IJ~ - 1 ""-!....- - 1

~ ~

5, = MJ1, 5, = MJ1, .JIl.o >' (5 ) ...... . , . Ii >kWI ""~..,:J' '''J'}' ''''''''' Ii"" (9 ) "'J'}' >kW,

y e ,= ~" OM,) , e i" ~" OM, ) .JIl.oo'

(m ) ~ ~ .! Q h ~\.AJ!, S (rad) ~ "'J'}' >kW, . 9

( m) ." 5' ...;".,,; . R 1 5=R9

OOm =iI...>~l~,'jJl 6.8 =8 2--e 1 tp....o (.>' j l1t

~ 11'

65 =52-5 1 D.t=t 2- t 1

1 Vm ,rom ~ ~1 ~ d"j"}laJ\ OOm=S =R-68 , ~...u fit=t2-tl~jJ4-A~

l1t l1t

1 Vm =ROlm 1 V j Ol ~I ~.,...JI "" i\!')W1

V =ROl 1 . u,...Il (t ) ..,..j Ab..Ji,!

:,>~ )~ ( MF/. ) ~I,o.~

~ ...... ~)K u,.~ ,,"w,! ~ (=) .,u .--<

(.1) (SI ) 4Jj..\lI':'I~~1 >J..;>.,;l

K =1.:.>~ r:-M:-, ,-.-=-:p:-.dc=-:,I

, ~ IjJ( );; )t.:.! ,..J.sll .1>14 ~\ ~1 ~ iJ UI; j.l ~!.:l! lAI . 1 Mp, =F.d 1

M il =ON.m 'r,..J..14..J\ r~\ sine =0. 9 =0 'U~OI)j.JJ\)~ i$jI~ ;;#'J,Ab o lf:. !-

b = Om , o\! (1)jJJ1)p.o u-o ~ ;;#, J..ob ol.f:, Cl!-1 M' JG =ON.m 1 : ..l..oj

:.:;,.t )~ J~ u\)~.>ll..l,t; ~ ~ sk ;;:; s~ J.>" c.>:" ~~~ (il) ">'J.9~ ;_ J? .j"'~">i'-''' ;j-",(5 ) ;fo J.,...; ~ b~ Ab-\~ ml . ml ml J:A.S.l1 ~ \~.!I F3' F] , FlI..s~ ;)~I .)L. p~ ..

. ;"s:.J1 -' ~ bl>..;

, ~ S jOll ,.:.., ~j,;.J """l..:J1 ~I ",~j .s~I .:.., ~ j';'" plo.:...;"s:.J1

~:',-. -.;-.. -.. ,~~ . ~ (S) 6. .....

_ ' d, F, _ F, F,

m,

L M(F, ! il) ~M(F, ! tJ.)+ M(F, ! il) + M(F, ! il) ,~W\! (J>:.WI) ""l..J I .,.;~ 4.> ~",';j..l "+.>~I ~I ; L,.o.ct,.j

: (F ,F') S~ ;;"~ ~i" t'r 4 CJ.!.--'-' 1

, l..4l "'\; ",I~ (F, F') .s jOli -' Do ...,.. .s jOli 6.;> j~'" .w~jl":"" )U!.> -

."'~~ "'~ .. . F=F' ~.!I l...A b~

-~. - ,------,.-"'" ~1' .lF ,F ).sj! ",>,p j . ,(~) ",,1> ) _ JP' Ul)j..ill J,t> y.L.o l'"'? ~ L; p l li! ......

-~' a--3 '.~ --a. ,') ,Q

""

] ~ -~ ','lJ :a' -=> $ ',a'

"'" ..;

'"

$ ~

F' (6)

"-.. $

-

f-R+----R-l F F'

-

F

.Jll.> '" ~~.l j..o ll ,0 .Jl.,....J\ .l~ :. } .l! rJ ()0:1~\ J~! ..l..i..i:.

, ~I '-'"'" iJ _J4l1 U';.l-'" 0i-'.!l1 bj! . ~,..uj ~lrJ .ljA4Jl ~J:JF i h>'i .~~I ~I~~ .l~I.HJ:J F' 01 ~I h:.. 'i

~ + F ,R + F'r'". R'-::-___ --, 1 M(F ,D)~F(2RJ F ~ F ' . ~

A

4~ o~ ~ j> ..,.,.51~ .~i ~\jA o.J..A.;..o (:I~ ~..c.3 Co B. A loU Co"j)\j ~ ~ ~

.>.Jo.>.; ~)l...o ... ....-JI...,yl iJ Jo.-'j ,b"'-'ll (Cyclode '~;.Ij-) u~ Ul)l...o I..4lj 'il!lliA ) ,:,Wb.ll1

)l...o i4J ~1-'.s?I ""'; ui~ ~j ' ~!.; " Lo)l...o . (~I forlc ~I

)l:-c\~;" qh; i .. ;" qin; ' , o~.P" ..!.l~~lw-o ~t.> Ab..4,j ~ aJU::u.Ilp.J-"

,( ... , ........... ,;,~, ..s j>J' ~) l,,4ol4- al ,:,.... ~ aJ..". ,....,J' ':'1

, (O,XYZ) ~,.a...J ~" ~ m10C

1 +m20 C2 +m30C3 + ... =(m1 +m2 +m3 + .. .)oc

Lm, oc, ~OCLm, ,

z

, ,

, ,

, ,

, ,

oc " " ,

, ,

, ,

-'

mC., ___ ,

" Cl

-

OC -....... 3

-- c

, oc ,"".,--

--

--- --.=...

-- oc --O~= ___ -+ y 2

,- c

-,(G) J'LJI fojA ~ 3 ~ 3 J'LJI fo.r.J "",~I ~I

.(B) J (A) ~..,. o.i,.;J cSjAA 'M.:G-~ ''-''0 b;.., h.;.JUI..A

' cS'" '1" " 1" .' . h.>>h..1 (A)>.bA.;.)I ~" L- . " ' :r- , .bA.;.)1 cS . i 'jA ~ " -

A 1~1

......

A

./

2~1 B

4/

(G) J'LJI fojA >.b:.".. >.bA.;.)1 o,io.>.b: ~ l.b""" "",....), ~I l ~ ] P(cS~I~)~I),.....,.JIJA:.''''J4>~J

~

-=> JS:l "";4j.,,4J1 ,"",~I ~ w.w... ~( Cl Mw.J1 fo jA 9 (G) J'LJI fo jA ~

.:> ,2' S: . ~ i'""?" JS:l ~ i'""?" JS:l '0 Ji>" Jo" 0,,#( C) >.bA.;.)1 loi tti (G) ~j 0 1 ~ u)~' J:..A C!Ok,,'4, ~l:! ~.3L;-J\ ~ l5:A ~ lAi *

(M,)

;( .... k;t.; ~--'"" cl ..... /--'-'"! ~ ,;J~ \" r - .j .~I ~I ";".)o ~ F '~I '-'"""" (JO ",-1 ; ;.. ",",Jo~ .(M2 ) ~\ J.S.l1..::J\.l 'Y~\

(M,) i\JIb.J' ",1 Jj1>..l.O (M,) "'.,.J' i\J~.;>" fol ~ r-U i\J~ l"':' (M,) >.;.,.J' 'I.)j ~'>';.,.u (M,) i\JIb.J' .;>" fol..,W'>.;.,-u

l jE=..JA .;>" .J-'" .( il) .::.,.1> )_ J.? ",,),..w ",)!.,\> '" u.w.. ",l..>'" ,2 Jo l.:.> "

~"" F o

F' (il) (M z)

- -(F,F') >.> ~"" ' . ,. _." ., " , __ .,,~ . , .r- U""-Y __ .r ~ -..-

,b>~ \.lu

4l:.S.Il j~ ~ ~1 1 b> '}J..j . J!I ""_.!l~fo~'

:~

(M,)U".J' i\J~r >,,,,IJj1>..l.O (M,)U" .>'"' .;>" foi",,),..w i\J~I""" (M,)U".>'"' .(J M .,. )~, (M, ) U".>'"' i\J~ r>'.;>" fol (lM .'. ) ~,

-- --",- -..

, , , d ' .. ...... ' ..... _- -- ...... m

(il)

( il) )~ ~~ (l / il) i\JIb.J' r>, ":'.r>; )j>

-3 '.'1:1

-

,~ rt...,>\ ;""" 0A "'"y ~~ >.L.e- !h; ;hr t...,> ~I J:6>.",.. ........ m, . m, . m,

-- --

" d. m l,,

--

-o. , ,

, "-+!WI; J4->lu ul=.I (S) ,...,.JI

'~Jj>~,,~aJ~f'j&.-..,.J~~, aJ~fo.ru.o~'i0'.Jj.J.l' .J.?A0~!

(Il) 1----":':' (M)

d : ........ _-_......... c

, ,

Il Il

, y.--j:U,!J'> ",;0..; .;......... J~I

(C).:.J\60 foJ" JP- ,-....J16.Jib..o r ~ ,Jl c ,lM J_ JP- ,-....JI 6.J\60 r ~ , J / Il

,-....JI~ ,M

(.) lJj.ll1 J_j (e) 6.Ju...JI foJ" "" .,,>~I --...JI , d

JI:... .. r.I ~ lM J_ JP- (. , j4.JI ",",~I) ' ;"00 "(L) >"; 1~~I 6.J\60 r~ y...>1

(~I ) i4' 1.ll~ ..... 1 >-' r.I cl,> ,(c l \4ll\60 fo r.I

M L C

J Llc= !: MR 2 : 01~ 2

3 , J u=-MR

2

: ~ ,..". Wj\~ 4 : c:..-w" - [.>_ I - cj 'I- j

-~ t:I' 'i-'"" ~ ,... y \ ,>:>1 (S) ~ Cl,.(c) .p h' -""'" ~,h,t.:..; ..

, l.J> .:>;'~ ...... 1> ftl l li. iFs / c !~I .",., ,(.ftll..,l

-~, ~' ,b>S -3 '.'li

3 ','11

y 1 R

-

, ( (C) J oL-.,--+--+x (S)

-p

'jAl .....,1> ""'J (o,i,j) IJJ..ill J,ol> (S) ..,.L.o i"'"? .2b~ .. (F,F') (c) ~I R, (.JW' ~) ..,...)UJI ;~

p, .J.;,,~ - -

R J.:. '-""" PJ.:. ~ l ..,.,." )l~ ~ J

" y

, J~" 1'---_p_,_=_P_'_i"_U_--' ", Cl" x

y ' p p y= Pcoso.

, ~~Py ~p~ O)~ ..ll::-=J~ ~~; .... 6OJ U=Pl b>~ : ~" sinn =~: l..\..., ..I.lI.!.U~ o p_

p , cosa = -y '1 Lo.S

P ,~

o~4A~~w#lwLb p::. l~~09~~L;..~~ j\~~ F 2 = FI z,..J...:J \ L>'...A.:! L.4l - : 011:,51 J.oWI ""'" 14

- -F1 =-F 2 ~~~ *

F,

-~' ~'

...

-~ ','il!

-Ju ..... -. H ).. ...,,--

71

l~~\ ,.); l..> >.:J,,\;JI )\,uJI1!'-'>' ,lb> , 1 ~..,.,..

. >.;L,b (v) ',to..JJI~.J"''''''' .ot,..:,....L ",,,,,-", >.SpJI . C.,ll:! (v) 4P,?!ll\~.>- ~l,l~ 4 41 l,:"i), JI 4~I..J.I1 ~.r-Jl .!l .

. d4lbii~1 a.,~ \.J.I1 ~~' ~":"""b (~) 6 1\,:,>1 1\ ~~ltls..!. .!l . ~ s~ Re ..... (e ) ",,'.>J',(S) ','~;. Il '"-'\AlI,;,,; >..l:lWI

. ~I)j . .\.h..:Jl!::::, ~I J== ~ '(1)j.JJ1 ~ ~R .v~ ROl"", .",I.>Jl k"..Jl, (v) ~I k~I .".....,;,,; >..l:lWI

. (rad l s) ..... .",')lk"..J' .",., M(F/tl.) ~Fd . )l,uJ~..,.,.., ()u,.b)"..J~~~~je .

. ';.J4l'tl) .l '" ,d ~ .I$.r.-?- ) 1..w r j.1l1 .!l

.,-:?,b.:. )I...L.o d.bLJ ~y oj! r j&. !l .l)j...\J\)~ U--~ OjAlIJ..ob. ~ LA...I..i.C. f' j.aJ1 r..J.a...i."l !I ..

.ol),-"I)".J .h' #' 0-1> .o~ Lo...J I ~.a..;" . ' I}~bylJI~ Lo...:.o.;l .ou.u;.. .o\J,b;,; .,....,-J (G) JA:JI fo J-" (c) 4.I\bsl1 fo J-' . . '.. a..u:l6J1 1':.- 4...&.5 ~ ._ . u-- ..

~~ I ., ;.,.'~ .o~ (G) JA:JI foJ-" (c) 4.I\bsl1 foJ-' -uD)il

.,....,-JI 4.116.: ~ ..... 4.I\bsl1 fo J-' . ' . ,....,-JJ "",6...;~ 1 ~ ~I 4.16.J~ ~ JI 4.I\bsl1 ~ je

. ..:....,.b ) L..11u ~ allb1l1 r ~ .!l ''

..hJ\

,d. I,;,-,', ,,

-~' ~'

-

-~.;JI.J.II ~..roJ1 ~ ,ab:.J J!= ~~ v ~t,:"....1l1 ~.;-Jlt~ ,lb.> .!J o.> .~ 4I1-t1..> ~1~ ,b~ V 4.p. ~ qt,:"jjq Il

~.!J ..:l ,~.!J .$ 1 ~.!l b I~ .!J ,: I M(F! il)=O, IF = Lo.o,-.....JIOjll.)a-'"' OI ~ ~I, .lb> ~ J

~ .!J .JM I~ .!J ,:J 1~ .!J r

aJ\b.J1 fo yA loi , ....... ,-.....JI ~ c/' ,-.....JI aJllo .d .....

.,...,(m),-.....JIi.i.> ~~,-.....J(J! il) aJ\b.Jl fj.cOI~~I" lb> ~ -" .i\.IlhsJl r jL.fo..i.s..tJI ~ ~ 1 ( tJ. ) OIJ~JJ I J~ ~

2~~1

~\!i ac~ '.$.;J\..l JL....o ~.,!J~ lm = lOOg ~ ~..lLo ab;u j)~ ~ \;j...ul ybi ~j ,(405) '.$jW ~j t...;..! ~ '.$.;JIJJI.b.pA ~ ...... '

.R=2m I,-.....JI";" Jo> ......, c/'Lo ~ 1

.(40s) J.); Lo ....... .>..\> ~ 2 5a.!, .... ,qh~l- l

(0 ~jljJl ac..,...JI - ..1 V ~I ac.,.,...JI . -?"'

.('~Ij 'J'~ ~p4.l1 ~ ;,.j~I""'jl,.jC>lI)T """jll J,.JJI-.,....>I ~ 3

6-n 2n .9 =-.

R

s=1tR 2

1

L :...S ~--,2:::n--,1 j l s ~ 3,41x2 1 s ~ 6,28'1 e ~,\jJ \ ~\.AJI ~_ -.,.1

1 6 ~ n 1 leS ..... J,ol..JI JS:.:JI UA ' 1 .., p l 1 6 ~ ~ l '~! s~R6 'l ,..t>.; , 2 ..,pl .

,( 4 _! \,.:"....1Jl)~ l k~l~ ..>

1 v~0,157m/s 1 0,157 m~--

ru , v ~- ,l,..t>.; t.t

ru s 6,28 v ~-~-~--

t.t t.t 40 ro ~,\j.l\ k.,.,...JI ~

V

,-__________ ~--_2 m~0'0785 ~ 7,85,10-' rad/s 1

, ~~~ '00 =- '()~ R

T ~ ln 0,0785

, T~jJ\)j.J.l l ..,Jt.....> !.l 3 ,'.1>lj ' )j>.!l ~I ~ ~ ~ j)UI UA.:,JI ~T "",.:,JI )j.lll, 1 "';10

2 x3,14 0,0785

405 of u..o ') Cg *'

T=80s of UA jtg,..:i..:!......1

-~. ~.

-~ '.'il

3 ~,.:;ll .. (.>A Js:J T "",)1 )j..ul ~-'> ~ 1

.u' ~I ~ ~ >Jo.>.:. . Ac.t..... ~ ~\j..ll l ~ ~ *

. ~ JSJ W"'jl)1 "" ~I .,.....,..j ~ 2

..hJ1 . T "",)1 ) j..ul ~ 1

0-G ab:iu .J.?W _ ~):1' :,..h.... ~ ~ r1,9 act..., J')l.> 0 Jj,j J..j\j...\JI--:J ~ ~ T = Ih = 60min = 36005 1

A :3' ln ln , w =-=-- :::1,7.10 radis ..,. T 3600

~ .:> ',a' 0: u

'"

4 ~ "1 "' . 1 ;.>".(C) (C) . '.,.L...j. "-'S..IS....o>.l.o> . --~~ ........ ~ 2 j l ~~r-U-O _ _ _ .

C, (0

(B) m

1

C,

(A

.R, = 20em cS p.~lj R, = 10em u'j~I;hO ""'"'" ,(6) "")j..u

m ,

,

, a.; ljb.I JS"""~ .~~ ..

~Ul:6.(B)j(A)~~I~ .J;\4.lI ~1 ,;11:"".9-' ~ L.b (m,) j (m,)

.j\I aJb ~ ~1 -(B)j(A)~I~;p~lcSjOJI J.. ~ 1

.. .,L..~I >.l.o> '_.!lJ':";" ~,--- . cr- j

l

R C

~1jb..~lj ~I..,l -1 ,ro = 2rad / s ~ ()9.jl~)U d."IjljJl ~...-J1 01 ~ ~ - '"""

.(B)j(A) ~10-'J'="" ..... Y'"""\O

::::--"

cW\ '~ly~ ,'-:>J.SJ ,)jJ ,...... '..s~'~ .!l 1

, t.o. O>'j4lJ ~ ,A ~, . (B)~I J>l , P,

'" T'

(B) ~ (J.o.,OJI""J') Jj~1 J.o.,OJI"':",j , T, , t.o.O>'j4lJ~ B~, .

(A)~IJ.:.,P, (A) ~ (J.o.,OJI ""J') ",..WI J.o.,OJI "':",j , T, T' 1

- fA T,

-P,

,

T,

P,

.,j\..j.,j\j6....)' \ *

,CI

LlIjb...)'l.,! ~1 i~)o (yG J.:."..;iJl..J..!, b~, T' l .C, ""jb..~" ...,:.....11 .. )0 0-' J.o.,OJI"':",j , T' ,

.~Ijb..~1 ~ ..,l

- ...,.. ~, .) L.b 6.> ~ ) _ ~ b",-~~ T,=m, g .... (1) . - T P 0 --'---''-''--'--'- , .:U.A j - ;;> + 2 =

~' ~'

. ...,... ~, .) w= 6.> jl' ) j'"i' ~ b",-~~ T,=m,g .... (2).. - -T +P =0 T =P --'---'=---'--'- . .:U.A.9 1 l . l 1

l M (F 1 I!.) ",\:J, b.,.:.J' ~ ~ ,jJ ,)I;j ..ill >J,.t> >.l.o;> ".., ~'jb..o ~' >.l.o;> -

-','3

_ M(T' ,1 I!.)+M(T', 1 I!.)+M(RI I!.)=O ~ ._~ ,;,>! jf> (~, p l) _jl' .e,.o~, ,;1-,,,..I;) _~, .e,.o~ ' ,;1-",..I; T', r ~ u"jJ

t l).il\ x ;) # \ = r j.aJ\ 0 1 w= M(T', 1 ) = + T' ,.R, ,;,>! (R, ) p ' """"'.9" w. t ,)jJ'j . y.J\,..J' .e,.o~, ,;I ~'jb..o~' -",..I; ,;,i Jj\oo; "'~ ,y.llo. jf> (T',) r ~ Loi .

M(T',II!.)= - T' ,.R, .,;,>! .';")jjJ,)_,:,.o .JAo! ..... ~ j' j ..... jf> (R) r ~ Loi

M(RI )=ON.m ,;,>! T'2 R2-T'1 R1+O= O ' ~ jl~\ .b~J~~

T'2R2= T'!.R 1 .... (3) -

(J.W.J' .. '- .1JJ' -") T =T' -- . W u ",i 'I ....w.; _ ~I..r- I.T~ l l~ U .

(bp.J' ''''''''' ~ .1JJ,,,,,,o) T,=T' , ,;,1 w= T , R, =T, R, ..... ('3) "+l~' .bb...J'v! (3pJob...J'J~ I~j ...,.. ('3) 'bb...J' ,;I (2 ) j (1 ) ~ob...Jl ,;I ""'j l.." l.., j iJ" '-""~~

m2 gR2 =m1 gR 1 1 m2 R2=m1 RJ

m - 0,600xO,1 0 . m,=0,300Kg=300g ,- 020

,

41.10, ' ~ dJb ~ - . '\ - ClJb .~ d.4=oJ\ - - ,..:.JlS.l.>':i\ Jldil! -. _ ~ U) -'"' "i' ,, ~ ,

. ?-JI ~ ~ jl~l> 1?'"';I ,.a..J ~l; .- .Ii.;'" - ." ;",, (A) 0" J'. >.b.J> ~J . 4 qt,:". ",. :lJ"K~ ~~'jb....:i,~'p" loI (B) J (A) ~~, "'.,...J'''''''; - ~

v A=R2.ro =O,20x2=O,4mls V,=R,.Ol =O,10x2 =O,2m/ 5

P"I)J.l.U >J.,.lJ. l= 40cm lfI~J .(m = 500g) ~ (AB)...,~ .......... (j

-~ F ' , .

R

.(A) ~~0" ",.."."..1 (t;) . F"F, .;,9""~P '

.J,\4.l1 ~I i) 1>"'~ J4> .

,Q

F, , t').ll, X jAll = ~ j.>J1 , l fo=

l)j..l )_.1 .jAl10-Ol> "" ~I.a.,J1 Y> t').ll, d , Y> P t')~j d,' Y> F, t')~ 'l h>-~

(F, ~ jA M(F,/ M =+F, .d, M(P / M =+Pd =mgd ,.:.JJ~

O+F2 d 2+mgd - F,d j =O, ~~t . hjl~lb~~uD~ F1d1=-mgd+FJd J

d2= isin60" .1 d =L jd ,= 1..;ftJ 4 2

~J F, ~ sin60c = -mg ~ +F ,.1 ,~ ""~ F = 4Fc 2mg

2 sin 60 , F, sin60c = 4F,-2mg

1 F, = 7,2N

(t. ) 0 ..:.::;

1 JI!l = 1,6.10" Kg.m' 1

F 2~ 4(4) - 2(0,500) x 9,8 ,..,., ",,""'-lI U""Y"-' ~ 0,866 '

6 .

(t.) ...................

m,

m3 = 1,2Kg , m2 = IODg 1 ml = lOg : u--., R 3 = 15cm . R2 = 20cm , 1 =40cm

..hJl

'~' --.:...l ' 4\Jl.b.c ~ J /ll=ml I

2 :;;)~'L,I~ JI/l =10x10" xI0,40)' , ...,.... u'>Y-'

,o)~4

J//l=%10,100)(0,20)' , 1 J//l=2.10" Kg.m' 1

(6)

] 1 3 / ,, = 4,05.10-' Kg.m' 1 ~

7 U, .. \

F,F')';>,~j4;(m = 50g)~"R =20cm.)o>! ....... , (D)U" ..... ..,l.o " . . (o)'fo.r'(jAr; (IJ.) J_J.?J'"".a;~

F'

(IJ. ) _____ r-~

o F ,~ j.o ~ -'" ~1 ~ 1

(t.)J.? M(F, F') / IJ. F = F'=lON l ~

.~ J'.l ~ ~.;1aJ' ;,.l:I L.o~ '~j.l j.oJl .,.J.4i ".J.?o.- !$.J.u J..-ll...........-l...1 IJ.t = lOs ..... j 'pSJ:Il> "->J~jl"4JP ...... ~, "'Ib>..~, ~I ~ 3

.v =10m/s ~l ~.J-'M..:..i4 L.~~~ ~l),..ul ~.r-JI d,jU::Jl~I !.l

N(F,F') I I1 S ' 1"-> o ' M(F,F')111 =+F.(2R)

MlP,F' )111 = lOx 2(0,20) =4 1 M(F,F')111=4N.m 1

: ~,,j..;,...w l ~....-II.....,;.. .!I

.-_-,-_ __ -,--'-"= (.:,(l ) "'J'';',-...,.J' )J .1; Lo= .". Fi-.JI J...: ,"" W(P,F') = M!F,F' )111 x(l

,-_=-=::-__ --'w"'(,."P"', F,-'-',) = 4 x 1t , a..:..A j a = 1t ~ ;) )j,j ~ } .:I ...:.l ~I (Ji w(F,F') =4n =12,56J 1

p = w(F,F') = 12,56 l1t 10

1 P =I,256w

Ec=12,5J

P4b..... ~I

-:b' -=> ......

-~' ~'

...

-3 ',~

-~ ~ ,0

r ' . .0. ~ ~"j Jj\... ~ :

.",,'.u,.! "" j"' """ (A ) t""~1 -" uAlh; . (B) t"" ~I ,;l ~ j"' ~ .>.;0-

f = 4N.u..,., ~~~lu.!ll>:-'>~I .J / C = 2 MR' 1f'JU= fo.>-' -" j.." J""" J,.. _ ~I >JU= f j&.

5

R,

-p

h AB=-sina

..hJ\

JS:.:JI...,1.o cS foll J:o..:> , ...,...S:.:a Ai1,bll b~! aJ.Ju... ~

- -

E", +w( P) - W( f) =E",

1 2 1 2 O+Mgh-f.AB=-Mv +-J / cW '~! 2 2

v , 1.

h(Mg-L) =~Mv'(!.-) SInQ. 2 5

v =" _10 h(g _---'-f_) ~ 7 M sinn

v= 10 X2(98 4 ) 7 '2sin30

1 v=J16:6 1

1 v=4,07mls 1

, ""-" '''L. ' . . ,-,- , U"-""

4 ;;..l.>~1 Ep -b\ l9\hl\Q ~~\

. ~I~

r-JI tSy......JI..,lcI,.....-J1 .oIS ! (+) )t.:.~1 . . or.> r-JItSy......J1Ji..1,.....-J1.oIS ! (-) .)t.:.~I.

Mpp 4u..:J1 "-'-o\S:.l1 ;"j\bJ1 ~ .) J\.,.L. !l ...... 1>:l1 .. 1bJ1 . -~ (h ) tu.:. ~I '1 (h ) tu.:. ~I . ." t.= ~ ~ 2 ) U . 1 ) 0-A~e-jA~

944JU1:J\

Epp, = Mgh, + EpPO' h,~I ,) .

EPp,---8 .. "" ~ """,,, . flEpp ~, .-j

Epp, ................ . .................. .. h,

EPPo ________ '1. .. _ .:1' __ _ flEpp = Epp,-Epp ,

flEpp = Mgh,+Epp,-(Epp ,+Epp, ! flEpp = Mgh , - Mgh,

flEpp =Mg(h,-h,!

:Epe ""-,..>".-JI "'-.:..-LlJI

-2 -=>

...... _ l_--=-l_'--.l Epe=-Kx 2 ~

~

l

l u,~\

,~~ d..:J.::::al;Jl0)4sJ'~-' Itb:;J\0A ~\ ~J.>. tl4:.;1 ~ h ~Epp = mgh + EPPa ."",, Epp oh a"l?-'1\ y..>J . ,,",,(B) Ji(A)AJ=;,-...,.J Mpp'J,", ~ 1

. Mpp=+w",(P),Mpp=-w,,(p) .~u ~ ~, ..... 1.:11..1 '" ,a.JlLJla.;,.,.\s:JI..uAUo \lt. ... , .. _\I'_ A, Lo~...J2

. ~ ~ j-J .. UI""\--.-~ .lI,l" ,4..iC! .... :a.JlA:Jla.:....olS.h~lb '''WL9IL-.> 1':.~Lo~ .::.I 3 ~.~" UI"" . ~

.~ ,I.4;OJ ~4 'il ....!~ 'i ~ '4Jlllll 0...01S:l1 a.i\bJ\ !J 4

" v"" l "', " . ~).d , ~)"~I , ~1

-~! 0--3 ',j!!

,0

~ ','il

..hJ1 . tillpp = ~W A,B (p), ~ ~"" ' o h b)",~.aJ\ ~ 1 .~ 4Uilll

2 '-' ~I """'" .;! (A) ~I, .... AlbJl .;! Epp =OJ l ' h = am . "'~!

,-__ --,--=1jEpp = -mgh "-':lW1 ~ .;> AlbJl .;! 1 Epp = -6J l ' Epp =- 0,2 xIa x 3

,," 2 ,,~Epp 4)u.:. ~ "-'l' , ~I AJ..,.JI ) l;.l>" ~

4 " ,,"

>.;....>.1" (A) """(>"vo= 10m/s ~ V o "'_ m = lKg~,...". ""'0""1 1 ,,(S) ...., )~I (>" ,,(B) >.b>J.J1.;! h;""J' ,,J\

.Epp . .... 1..> 1 '" jS.., Epp 0 .,>14)l>.lJ1 "-'1.hIJ .,r> rJl '-' ~I J" (S) )y:..c."

h = 2m tA Epp. = mgh

1 Epp, =20J 1 EPPA =-1 x 10 x 2 '.l!

-~' ~'

-

'" ~

v =v =10ml s ," 1 ,

ECA="2MvA , ~..I.l

.;; BeA + EPPA = BeA + EPPB

=:9 ','il >3

; ~

1 9

. c"J\>:J' "-"'~, "\J..lJ ~ .,..J' cS~' ~ (S) ~ Epp B = OJ , ~ 1 Ee , = 70J l , Ee = 50 + 20

l , 1 ~I EC B=2mvB ' lI B=V----;;;- : WSJ v,=~2X/O 1 v.= l1 ,Bml s 1

,:...... ~i (A ) >J.W.J',)A c"J'..I:i,>1 "" J"" j-Y M = 500g ~. ~ "-! ~ )....." ~ . ! ~U ...l.?-~Lr-'I C 9 B JoJl,I~ , Il = 20 "'-40 ,lj\j ..!J~?l! .:W~ , -.uLo

.K = 200Nlm =j.r'.;:.,1> D>J.W.J, ..u..ox _e..,~, . ,,, ', .

I l I l ~U-~)I- ~-",=, ~' )~~ :!J l .(D}j (A) ~~I "", " ~ . ~ 1

Eco =OJ Eppo =OJ

1 2 EpeD =- Kx 2

-~, ECA + EPPA + EpeA = ECD + EPPD + EpeD ,.~ , l '0 O + MgABsjn(X + D = O+O+ -Kx~

a- 2 - l 3 Mg ( AB)sina =-Kx: ',~ 2

2M g( AB)sina x o= K

2x O,5x 9,8x 1 xsin20 x o= 200

~ "0=0, 129m 1"0= 12,9cm 1

','il

Xo ~I ~\ -.Il....>. -.1 , ....l::o.,j ~lb,,11 bl..h.:!\ aJ~w d..J1.:iS..J

, ' " ,

~l+J\j d..,.I\o.4l\.} d..Aj..J.sA (E) :i b..4.! ...l>\j..l~ ~ ~jilb.l \ 4!.!" a...J! ~b \~j - - -

w'" (P) ~Wm L,4;\40~.?' ~ i\4;oJl ~j

-. m Epe, W m=W ..,(P)

-----0\. ......... EpPA=O

BeA + EpeA + Wm = ECD + EpeD 1 O+O+Mgh =O +-Kx ~ 2

M gh( AB)sina ~ ~K x : 2

x ~ !2Mg( AB)sina ' 'i K

.(x, ~ 12,9cm) ~I '"'"'" .jW",. )4>J1 '"'"'" "", , (~')'I .

~b.J~,~\ ..:.ul!::.~~\~J! I.j~~Ailb.l'b~! dJ..:al.aAl~ Il Il

. (.j~j.,> ","",) ~ .>'1 .b, ... ,).4J1 ;,>\Ii,I1 ~w.. 0A ~ ~ ~I , (X)~:rI~I..J",.;..J:.~, .......... .)#,d......,! .:;,..

F ~ Kx. Lulu>..u _ '1 ._"'...... t....-. ) . . . j..,..-::r' _ U"-""""'" F=Kxo : .l! x=xo l.:..4.-,

F ~ 25,BN , F ~ 200 x 0,129 , ~u'>-'"

5 O...l.> jll Q E. 'il ,1':"'1..u1 ;,j\bll :

, 1 -

1 o~\ 09\hl\9 ~~\

~, ~ Ec~ ~\ o~ Ajtb i h>)l.J ,(~) "Ll ~ iu:~~ "Ul ~ ~ ~JJ .!? E = Be + Epp + Ernie : ~ ~ ~I d.Alhll9 .l! Erne jEpp 9 :; '.'B

.~} ~a,........J4 "W1~ J~4~3.h.4~~EClAt . ~ 0A,::,;1:0 t ) uk >4;-}1 >J\b.o fo.J-" ui ) w..ol uk IJJI \..9lhll

: "-!..r~1 ~I - 1 - 1

1 Q = me(Sr - Si) 1

Q CL (S , - S ' )OI,,1 S, cI!S,,yS ' ;t.,..J' '-?J>':'''';:;' "...,.,...,l...J! '; ) w,! ~n , (l

Q a mol l$l m O..lW \ ~"::"~'" Q o.col l$1 c';..lW \~~ '"

(o.JW! t.I) O.:lWJ ~\ "-:I;I~1 ~1 : C

(0) iy~1 "-?-)..I.ll,llo.J'"'U .9 O..lL..1J (initial) ~I...,1~1 ;; ;1.r:-Jl ,,-?-) .:J , El i (final ) >.;.J'' S,

(Kg) ~ I,)"'U-, 1$1plO.h J::1~ o.J..iU!, dl :o"',,, '\ O.lUI ~ 'm J I ( Kg.cO) ~ I,)'"'w j ~ j O..lWJ ~1 ~Jl~1 "--.JI ,c

Q > a '~! 9 f>8 ; , 1$1 .:atJ p l.tP JI? A:> J..l \. ;; )1.r-- O..lWI ~ lA~ '" Q < a . e J R .... ,t;,. ..,.,1 J-Ll \) (I) ""....:, "'~~ Je,:. J'-,"" JO'" ".;J, "J'rol' w.~' jO>

8 J J ! 8 / ()-" O..lWI ;; JI? ~)..l ~ J! l$..l~j t ~ j 0..1..0 J':Y.>

1 Q = me[S ,-e.J= RI ' t=We 1 :~~~\ - ~4j.,.t.Al'AJGJJ4,.~'~y11 .!l 2

. ..!.l...~\ 4.i\..6 ~ A , O..lWl "::"~.i-:> ~ ~~I ! .~~I ~I;J\ ~Ilo ~ ~ 1 O..lWI ..::.JI).l ~~t..Jlj

--;3' ~'

,Q

1 Q = m~ , a,JWiO ) t.,.Jt. ~ ,Q ,[JIKgI.",.. l' a..,.; ." jl..:l j .yr.-) l;.J\ .b....y\ (>A ~Jl? ~lb ~\ . . ,, :,;4....\!.:lJ ;;)\~ ~La 'i~\~ * '..r-)GJ\ .b...,j1l\.&..t..l,jj a-n!J>?jlb ~\ ..I.!!.l1 o;1.r-!l ';~ .::./i~\~ '"

\.,1)1. 6.Jjj.aA ~ t>~ ~J!..T" )I.:;,J\ b....jl\ tA a.i1.bJ1 J..l~ 'i ~U:.j ~ ~1 ~ (~j3\b)

".....J' u;,o .)'.r-J' D?- j l J,..,j ~ y.?')\;.)' , t.oJl' ~t.oj "" '-"lu" """'" ~ (jlA.,.~, Al ~~~, ~ "" ~ lA ."l .,.., ,t.oJl' lAl y.?')\;.)' b..JI'j

. .".>+l.i )'f"''''j y.?'l,>.i (1W..) ~ .u! w= z,.ll.1 I.j>':iC ~)\.r-l\ 6..s...J\ U"4.A:a ~ ~\ . d.:i..l3 ~ a..blf:. >J..,> "'! "" JI:4' .:r.;'!v., ~ u;,o "')'.r-J' J.i>ll ;u"..j

. S.Adiabatique ~I,.~"! >J..,> j!

( 97

c =

/ ~Jlr-Jl 4u...Jl

IJ/ Kgl

c

m c

~ ~Cu l- - tl eu....Jl ~ _J .;--

IJ/ Kg.cl

.~ .,.-.Il ""~ ' ..... ~I ~ .~I .u.,w..! " .:.JI " Jlpll J,o~1 "'"'" ~.jJ1 , W I ~ ~

~ .l;-> ~J~t:!-~~ d..tj!lbo:J~~ cu.,.) fo~l . 1 .~1 ~cU.:>I..l.,1..!l~ 1$.1.11 LA .ce) ~ J';> ~ J~ ~'j ! ....,., ~~ 1$..lJ' ~4~' }..J..4l\ ..9-"l.A .ce) ~ J'.,r> ~ J~ ~ 1.:11 ~

cWl .;II'~.)JI ]>~ ;Jt!j..J:~~1 ~~I.bJ I ...... ~po:Jl .!l

,Wm ..,s:...;I5:,;..J' J,.~' ' We .;t.~' J,.~"

,Q

~.-.,.I

~.-.,.I

'L~ !l 4

~. 1 ~ 1 ~. 1 !l 2

.~ ~ 3

3 ~fil\

.~/.l\.l..i? (~jS.-,~\) ~L1l\ ~Uo v\.! J .l ~.l'j!.:l! .-.,.1

,a.!Uo l':' /~! d",j\! d.:yl:! O;\p ~ J.l ~ ,~\ albJ, JI J.jl..u J~ Lo...L -?-.a.!Uo ~ /~, d",j\! d.:yl:! 0 J'P J .l ~ ,~jl.1l\ albJ\ JI J.jl.... J~ Lo...L .l

~ ~l..lll ~Uo v\! aL.:> 0;\..,.,.. J.l ~ \..ll i . a.!Ua ".' ,', .;...,' ~\! aL.:> 0 JI..,.,.. J.l .llj l..l! .-.,.1

.a.!Uo ..w d",j\! d.:yl:J S JI..,.,.. J.l ~ .~\ albJI J! J.jl..u J~ Lo...L .-?-.a.!Ua~! d",j\,! ~l:I;) JI..,.,.. J.l ~ 4 ~jl.1l' 41b.1l J! J.jl..u J~ Lo...L .l

',;'; 4-- (Fe)..!;. 6.sb>J ,,\bel ~ j')!JI Q J.l

' '''~

-Q=mF, cF.l9 f -fJi)

.hJ\

Fe...\,!..blI ~j ~)\~1 ~1.' C = CFe

= O,460KJ.Kg1.cO-1

:~! Q = 0,5x 0,460(95 - 25)

_ 1 Q = 16,lKJ 1 -a.

~ ,0

:9 ',\;l

1 9 fi' 22,7'c 1

, L.ll e -.JI......> !J 2 Q = mc(9 f -fJi) .... t..JI; )\,uJ1 ~ ~ ,t.Jj \? ;1;,.)''-''-",,"'

Q=m c (9 f -fJi) ,u.> ,Lo ,1...0

:~!

: t...jl:i...iJ I~ !I 3' o;lp "-?-).l\':! ,Ul~ ...\,!.J.:oJlu-.o ~\~,-:?)I.r-Jl~~I~ J?1 UA A.ji h>'>W".

.95c Li! 25c 0A ~j.iA .J.,I...bJ1 ~ ~ l..J.4Ij22, 7c u! ISoc A ~ll.l1 \~ 41.P"" ~ ).l~ rJ.:9 ,WI Loi ". d...:!)w o~ j:I.ll:.4,lJo~ \J~ ~)Ij> ~ ).l~~ (~U: ~.lW1J) ...\,!...bJ\ t

.,U4

5~~\ , :'..u,.~ ' \4'>;1.,> "-~ ~I (.>A(m = O,IKg) = ~jYJI >A,.l..JI

, 3 Ab. ;-0-11 .;t , A.i~\J~l~ !.lJ ~Wl a..u4~1 aJ6Jl ~~..!.:>~ ':i

.Q,= mc," (8 [ 4),) ' '''h ..JI .. :4~1 .:.. JS ~..J! 49w Q ~' ="j ".fi;!? Jj\.a,l Al .a.o A j """..,1 A...43~ J'.>'""9I30g ~ - - - -- - - -- . (Hg) d,jO,4cm'~ ~ , I5g~ \y ::::. /j - - - - - .(12g) ~

, -('G1) =,

'"1" + (

"\ Al (/,:I,> j) (cWj}

m= p.V , .l! (m)~1 . ''""", 1 '. " .. " . .:......:-==- =(p)" '''' ~ u ~~~ (V)~I

,~4I..,ill~1 ~, ..,..,-> ~

1 ~ ~\...J' 4al' ~...l'~~4 ~~ '",= (0,130 x904) +(O,012 x 840) +(0,00544 x 140) + (O,015 x 940)

1 ( ",, = 142,46J.(0-1 ! 7~~1

., .

. 21,3' , 0./" ..... jI' oh > 4>.r' , Lo 200g ~ ,loI:> I"h > ~j.c J ".J->-o ........ ~ ~\ l'.? ~)~~, 40,O"c ~)'.P ~~ ~La20g~'.., cls;j~~

C = 4,lBKJ.KIr" 22,B' , \.,......u "'h .,.)1 a...J1 ..... Lo ~ 1 . ~ .,......u ";UI t..>\S:l1 ~1 ~ 2

-:b' -:>

-1.>J1 4s...J\ -,1.....> .!l 1

......

, ..la.:..! a.AJ1....J1 > ~1:. . . . . ). 1::' l.,)Q j1J

Q =mC (a ,-e) ."' ... .t.o

-

= 0,200 x 4180(22,8 - 21,3) 1 1 Q." ," =125,4J 1 If) Q =mc(a ,-eo

..... 1-.1.0

= 0,02 x 4180(22,8 - 40) ~ 1 q.." , 143,9J 1

~. c = - (1254-1437,9) R:i~ - 22,8 - 21.3 ci r------, Ic ...... =122.6J ('-'1

= 122,6 '" 0 0293 K ~ 4185' g

1 ;;...1>~ 1 y"'JbLlI J:4=..l1 i' ~ .)

21lW\ .

:~W\ 1 :6'~ t:; - 1 - 1

.l.Lo W'!' ~ ~ 1~lliA.J\ D .;Au.:..J\ ! !J ~W .. _li"" (r . Cl546-624)..,.....J\bb-~ ....... ..J,o-'oJ l eW~tJh;"'J P.> ~" (magntite)

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p .. m 1 Js.;.J1

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''"-',""' L.4l ~'-":uJ' B~ ,B, ,."w.!' ~ ~ 2 B ~...,.JI......> - -..,..1

1 Bl=B}, tanal '.l! ,tana=!J : ~.JJ h

lB, =3,46.10" T l ,"~! , B, = 2 .10" tan 60' ,...,.; ,-",,~L. :B ..,.wl ~~l~, ~..l..O. -..,..11--> ~

B=JB~+B! :~....!.l)~~~ 1 B=4.10' T l ,"~!, B=~(3,46.1Os )+f.?10 s ) ,...,.; ....... ,

B cosa =_It ,...,.w::. ~1 ~~,

B

._ ,'.. . . B Bh " :~L)Q~ ' =-- =.J, cosa

'"'"' a.>,;,1>, hh", ~' ''~ ",:uJ' (b), (a) ~rJ' ~,.!1l ~ ...... I .,,~ " .( I) """':;\;0 ~ Jb jto..,. ,,,,,,,}J'

O}y_~m,,}l} (h)

(a)

.~,~ (0) >.h.>.;J',;! B ."....,..~'Jhl'tt..:.Ji. ~ 1 .(0) >.h.>.;J',;! ~,~ B ';'"' ~I ~ 2

l =5A .,?t,.~, ;\,ilJ' ,.....: ,,1 L.l.c ~G.J',;! B 4,.l..,->1 3 R=4cm 4""10",, H~jll)o!~jN=1000 ~,~~l:Ab,:j~

.J.1 ,= 4 . 10" T.m / A t'.r

! -~ -

:

chJ\

B ~I ,;I B ."....,..us..JI JWltt..:.Ji.,, ~ 1 ~-t------, JlU1-~ ,;""';,jWl, >,6", . Ii ~jll 0A ~ (a )

l . ..,r.+41 J.:> J ,91 ,~\ ..l,iJ\ o~1.!

.

~.l~ t$,:....-o ~ B ~ ,",h ,

A, ""':'~I J~ (1) .t,.:;~1

(1) .t,.:;~1 (1) .t,.:;~1 (1) .t,.:;~1

p

"

',"", ~ O.,.. "4>- 'J~ ...,.:., ~ Al~.,J' J~ (1) .t,.:;~1

(2) .t,.:;~1 (1) .t,.:;~1 (2) .t,.:;~1

,

, ,

(1 )dJWI ( 2) ;,.)WI (3) ;,.)WI (4) ;,.)WI

J",J\

~. ..iJ -JUWI ..l""";" __ .........> .d

iJ~ JI,. .,..". ,0 ""fo Jo',;I w.";,, .,s,j.JI..,...,.,l.a4.JI,jA,.J1 ol! hb", . ""':'~I 01 t..,. ,; J4all,. ~ ,r "'...:. ~I,.~

N = 60

N ~ _B,,--o ,--::2R_ ~ "I

N = l ,50.10-3 x2x8. 10-2 '.J.?U.! uD~ 41t .l0-1 x3,2

J.=...-.' ......,..,l=...>'~' ..P'l...> ~ J ~ yo~ .ut> o~, B, =B 0 ~ ,A, ...,.:. ~I U' ~WI""""'l.\4lI,jA,.JI':'1 ~ , ",,"-l.a4.JI' 1>-11 'I~ ',. ,II..L.JI;""""~" '- ,w w,.s\.A ......:,.11" r..,;r-r:- v-- 0 ~ - . -.j - ~ _ l .:J" ~

,~I.>"JI;""u., ~ "4>-, , ..... 1 o~ .ut>, B,=B.,., A, ""':'~I U' ~WI 1 8 = B, +8;1 ,B, ,B, Jhll""I..:JI~I~B ~r.l',jA,.JI,

y

.~ B i (2)~1 ~ , 1:0 ~ X ........ ~.~.~ ........... ,. X ~ :l',i - If' -- : j y ' 1;

y

, -, B, B:sJ' '

x' ............. ........ ,. x - =0 BI !

y '

1 N ,J21

. ~:t, )~I ~ 45 .~,\j F ,d.1..b .~I.;!"""~ . "'4?-

B = 2,12 .1O ' T 1 . ...... 6,.1

(4) j (3) ~I""" (4) j (3) ~bJl.) y -

-rz;" ,B B, '

x ' .. .... .. .. ...... ,. X 0 = -! BI

y '

B = 2,12 .10' T

1

~I ~ 4 i ) l.4.Il ~~I >.b.'""'''''Ii,>,~ . ~I L.lli.o..Il "-,, ...... ~I ~) ~ ~ ~ "'"-y-

.BT=2.10"T 4;>J\,> .n=1000 ..... Jljb~I .1>j ~ .....,~\ .;:,~

./!, = 41< .10" S.I

JAo-lI bjb> ~I ~ ~~I .t,.:;~ 1 ~ . a".;j.Jb.l ' )~ i)L,:. J..,.; Lo""'" .., )~I ~. 1 :~~""".,r--H ~\ ~.-..,J

J.i.... ~ \ ~. ~ lop".. ~ ."....,..~I JAo-lI .a".;,.Jb.l1 )~ I=20 mA J..,.; ..,

. 2,5.1o-'T. ~ 25 fiT ' .." 2,5mT _ 1 ~1~ - 1 :...:s~ db , ; h.H)U~l4..Wl~l !l )I.......:!J \ ~.-..,J

.J.,JI

J..,.; ,~I ..\;J I ....,1> ~ . .....,~ I J>'~ ..,...,Jolli.o..ll bjb> l\p. ... ~ .., 1 0' 1O'L\J1 B. ,-,,"",",lli.o..Il JAo-lIl\p..Ji"":'" ~\4,>~I, .I )4'J1 ""'" ),-'" ~1..\;J11':'t...1

'"L~, 41.,;=- j ~_p ,~j11 ...... ~_~ o li "'\;> ~I .)W\,>, ) l.."J1 ""'" u~ JAo-lI b jb> 6,,1,

Bb =J.1 onI d,j)l,J4~ 8 6 ~ !l 2 B.=25.10-

-;; -

BT ~ "'bj:jqq 110.H~I~ ~ ,I=OA 41b ~ al 3 . ..;s:.:JI,;l ~ ~ ~ Lob (a) "".9

'

';'' .H~I ":'.r-" ' l ~ 0 >.lb ,;l

1 =0

y 4.,I4--";i1 yIb j 'J~' ~ 0 ~ ";i1 "":'1~! ~ .lJ tanQ J~\,I ~ "":'I~";il ~jlj .ll 4

B 25.10" - tanCl = -" = =125 ~ BT 2.10' '

rrrmrrrmrT11 /

'------{ A J-------'

( ""';" .. ) 16 "';"""1 ~f"-' .. r" .. ,....

T

I(A) 5,0 4,5 4,0 3,0 2,0 1,0 0,5 B(rnT) 3,4 3,0 2,7 2,0 1,4 0,7 0,4 \..,..,)~I ~w...JI~1 )""",~Iu;.a; ':'>~I ",,~I .a,;l.,s).9~I ()A J.> " 1

!~,;, .... B= f (I) ,,\,

"Jj~l> ,~j1J ~L\4J1 J'>o-ll ~\.4i ..,..,) :;1 ~L\4J1 J'>o-ll JW>! ~ ~ 1 100.)1_ Jj:;l0A fol ~ ",.:.JI (3,4mTI>j-.l> " ..>~Ij (20I'T=2.lO" n >j-'>

B= f (I) l,,; ,, 2

, [lll.l..~ 1

y=ax ,JS,.:J\ (>A ~.lw ,!~I-4 ~ '~jA ~ ,!",~;,j" , o b> ~ 4-,J\l .a~.':A~,,1o)l,...c : b),~ll\ .,.a~'f"lt;"Q !i J.:..o~a.!.y.> 1 B=aI l '~l

o -""", ~AI .. & .r J ~L..:L..J! ..J.'iI.:-.U 11..,1 y.b.J1 ,, )~, . J!J 3

B = al ..... ~4,lbJ4c- ,~~)Q.lJI, ~~I~)l.,ull~ a:,I~4 N B=I1, -/ L ..... "'.~.A:!o" z,)~ [SjaL . , '. N, ' . ". , " =- : ......u...I(.A .. , a= 11 ~ ,..l:ILJd.4.I~u J ~o . . . Il, L

,Q ~J;''' ''' Il J.;.o , '" >0) 1', =4" .10" 5./ . L=40cm=0,4m ,ll,>..Il

/ -~. a= B =3.4 - 2.0 03mT/ A N l!J 5.0 - 3.0

a=O, 7.10" T/ A=7.1O-

-~)1 4,l~- 4,I~1 t~ ~ '-' )t,:.) ';\'>-*,I Jh)1 ",l u;,. ,lS20 fl.

, , B ~ ~ , T .)t,..J\,>~r

~:---- li : .... . '. . '. , '. 1 a '. Bh

lB ~ 5.lO S1j 21< r

B 411: .10. 7 xl0 ._ '.:'" . .

= ' ''''"':'"-''-"'~~ 211:.4 x 10-2

, ~,.,..u a -:Sl~ ';il ) u.:;... ~~ ...,.. B 5.10'5

tanCJ. = - = =25 'li..!..IJ Bit 2.10.5 '

1 a. ~ 75,S' 1

'",,", )~I..,....,.,lilll Jhll B, .... ~I ""'" rJl ~.J! .,.~I ,.;., J%- .:,.-~ .!lb J;>. I .:,.- .~ ;>A"'" ~ (rhostat) B, >JJ...oJ ..,....,.,\li.oJ1 Jh)1.!lJ':"=,

,4u..lUJl d...J _ -;ll . , .y.""" L4"":i l ,)~)?A 1 (Solnode) S ~~jl.> J>I.l d.L.o"" F . """""lilll JI,.:,JI

d...U '.1_1\ '.~ JL:....l.....! ,ral~ 1 .... - Al..!1:!d.:!..J...:.I t.....:.Ab..u1 d...U . I_ll~.li:I , '.r- .;-r " cr- ".",. ) , j,', '.r-.Bs=l, 7.1O~T .,....:...,....,.,~ Jb.

'.c.... .'tu\ Q.J..J ' . l..Jl ~1 U\ ~\..~ 1 d...U . I_tl~dJ~I 1 1,~ ..J-"rv h . ~!,..9-:I ). ) . . .,~ . Wu . .

B w: i.......b~ ~

-~.

-

.~ u-'.;!j B, J u 1=83,4 ~,lj.,l ~j-,J\....:s.~ .1 .J~\~' O)I.J.JI J.i.!U u..J...iL.

,~WI~~I for (.>A d ,j,t..ll ~I u-' ~l .>"';j.JW1 )_ ~ ~>~ >Ji...JI)_

~..lj4C 4b.l\~.l4. ~ Br ~.I J~\ ~ ~yJ4SJ\ O)I.J.J\ J.i..:.U, (0) ~,jbJ\ .0. 2=82,9 44,lj.,I aLa~\...:s~, B H J ~jl~ d...:.s:J, Bs ~

,

Ll. ,

l

>J~-" B, .)""' (1) ,,-!~I(.>A >.l,.. _ 1 (( l ,BH,Bs >J~..u B, .)t,..o (2) "-! ~I (.>A >.l,.. _ 2

.a :d BH ' Bs ,O)1.,JI

-L' B" B, ,u .. "BH , Bs AJ".:I'J..,iB , 3)W: ~ 2

,.;, l.> JS:.:JI ,.... J ..",.., B,

tana .. = L.;..I.JJ Br +BH

(2) ... 1 B B, - B 1 . ' Br + BH H

;)lb:.....Jl 5 ) u'1 h ~~I ! !I 3 ,,""S:,>( 2), (1) .:J!l1j..JI '" "" yb ~I ",,",::>WIV"

BH (l+tan ....,.a ,~;;\bsli ~4;; ~l..J' z, )~\ 1; ~~

j.1 B.,"1,98.1O-' T -:::> N B __ ~

B,=1,98.1O-" a"83,4 - 1,7. 1O-' 'u'>~ B, =BH'arn ,-Bs ,Wo,..>J (1 ) JIj..lIU--~ 1 B,=I,I3.lO-< T 1

~ (.L.oj;~,

. (I=OA) ~"'~.>F= ;4> J'''''~..LC >.l6. a..,.:.,9l1 1 .).o J"'.)ll ..:.t,,6..J1 ~\.o 1 J 1

, (5 .... ,jI >J,.jb a..,.:.,~ >u..~l lo.~I .)l1 ~)~' ~I.l.i1'JljyJ, ..ll

,!-;lUlI L,..,l1 ,....; , Cl rad) (T) (a (1) L,..,l1

1t ..... _ ....... . :---~ 2.10" 1--7""--- (b)

-,J-.,..,....~---'-::--+' (.mA) 0102040

-.!"_--:-!:-_ ..... ' (mA) o 20

,~Wl~!i'~~, I.!LA~, .

u=h(l) - ~....,. ~ '-4,>j JAl>.."-",, ~ .~ ",-,,;..JI ~tli.J1 ~I >.L.o~I~ Jio

. ~~ ~,jhll~)~'),.J-A 4p~' - .

. I=O,02A ~\ ....L.:u:. )~\ [,.J...:, ~ ~ ,d.L.::.j+1l..!J~ 14 - 1 Il =4n: .10-7 5.1,~ .~j1JN o.:Jl:4bJI..l...lJ::. ~I - ~

DL , ,,, . , .. , ,,, .[ WJI.~ ~ v--' It _ . J-- _ ~. :;e- ........ ...-:;e- )_

B =a JS..:J'!jA . \1b\.a.A ,1..10;&."..l1!jA ~ '~y ~ l"'_'Qi . .. b.> jf.! (al ~\ t,.1 ...... jb.1J ...,-.lotli.J1 J4o.lI . 0' .. .;JI, B = Il, N [ .., ~I ;";..JI lb.. ... [ .j .. - p" . L ~ . 7"""

Bs= g(I) )L,1J"~ ~ (a)~ljo> B,=g(l)I,>!

j . . >J....~ ,~ B, ,B. ~~, ,,,,,,,,, ,~ . i ~ 3 -:::> ..,4l. b> > a = h( I) (2) \;.,J'w-o N .

~j."..' ~j~ ..... >J....~'l .LW '':'''j ' a =0 ,LL,..u .I< 20mA ;Jb ~ ' _ Bh < Bs :i ...,L=. J .. l..ll..J.Jbj Eh ~ , .. > . ~, , .. " 'b ." ." "-L. ." ...... w.. '.,,-, , .. >J.... .. ,1:0 . ~, ~ .... _~ ~ ~j-l v_'"""-= u___ v_-~ ::r.-

. .)w, JS:.:J' ~ '.s!;s,.. J - li Bs~

"-+ B

- -B=B,,- Bs e;.oBs ,BJ, ~~B :i h>':i ,180 0 ~ -.:....!~l ~jo,J\ 1 ol:..:....o \.JJb, ' a = 7t :~.JJ ,1 > 20mA iOl> ~ -

1 . iU6JI,,~ ~ Bs ) Bh :1...,L=. J..l.:1 \~, Bs 6.p. ~ ~t-, , 0 1. L.S ."_11 ... >J.... .. ,1:0 , ~,

, d.p ut h>).li ~W\ ~bJl l.:i..l.=:. J 1. J;~' JS:.:JI ~ ~JA ,.. L.S ,(I) "P j

BsL N =--1', 1 'u.l!

N B=" - 1 r , L

I=O,02A = Bs=B, .~

, 1

2~\ ruJu ~ fI \ \.I. )~ ..... ' ? 'f,.....,1 , 1..,.6...; -' "t..

: ~\ili,q,.lIl1\ ~\ >ll>. .;r.,o..l""',;":;",,IAl~ ""'" ........,w..'~1 .jAJl"-4,>' ..... 1>

1~' .J.t.!1 o..l,dj .!l l . 1)""" "-4,> .:w ,(Index) .".;....JI -JhlI"-4,> .:w ,(Majeur) ub-jll -

.B (Magntique) ~L..J1

.F (Pousse) 0#1 ~.l~ ,(Pouce) ~lf,!:r' -@ii

, ~i J.?) .!I 2 ,t..)0:3)l,1':i ~1,j fi' .".l~~ )I,.j...."~!. -",, .J."-'(l) '?~ .pj..JI,: ........,w..'~I.jAJl

')I,.&I~ )""" ~ A>~I (i) J.""'t"e "',Ij~ , ii~w..)~ ~"I . F=Il xB ~\.s.:J'

1

: oo~~ o~ tclJa> . B.......,J.ol.>.4l l J;".JI J>I.. ~l l J3WI '? ' ;'0;; ' .~I >Jo;,o -

. .,,-..Inl.>.4l1 J;".J1,J3WIe>- ...AJ~Il~~, '.!;11 ~ ( , ) ""'..,"}' ..... 8 ,,,1 e = ( ,) 'C:"

J t..o..!.J! " ).JII ~ 4>~1 e>-~ ~ ~ ,64)1 ~ ~I,, li, F ..,:.:lCJ1 ~ ifo.> . B .,,-..Inl.>.4l1 Jh1l , 0 (.>Jj.o jJl ~~ "oj4C' ~JWI ").JI' e>- :;1> .,,-..Inllill J;".J1':'1 .,;u; ,B 0 'j.ojJl ~~ "oj4C"~ JWI" ) .JII ~ J>IO .,,-..Inl.>.4l1 J;".J1':'1 .,,;u; ,B 'j.o jJl

~ 3 ,~

.?-

:!l ~

-

':3. ~

;a

-B ~la. J J . lb ~I ..!JY...I ~ _ _ .Jj.4.1A.J (JI)j.>J1 Al..,.:....o , o.,....,bla.j~CS~ ;lb~l~ (I) ""~~;4O ""j~ lA=

.I)J~JP"

'-'UM ~1...li.4 ~ o)l.,a.cj41j :( Stator) .:...,aWI ~..).?JI

. 'u . c.... ... '-la. 1 '" . ~v-

l '

. ~4J4f=';~ joAl\ ".lA~..u ~ .~)4~ bj-i 0#' o.i.4l~..u !.l

F = 1 10 B sine ~)W\..,I'; JAl! o.l4! .; J~ ~ !.l ..,b.-y I; li ..,b.-y I; Jhll -? j< Lo= .~I .1;31 ~14;\; Ii . ~I iIp ~.:"., ~

. i\,IL.WJ4?~ )"""~ I . -

.F =I1 B"'jb:.j ., . "",, .:>jS:l'~I,,1' ..l'WI~ \,~ B Jhl'.:>~ I~! ~ F=ON .... j .... ..l'WI \fJ ~ .;J" ~'.:>I' ..l'LW ~jl'y li Jhll.:>~ I~! ~

..!.>JI . ( ,-",)l;~ .~ j l) a.,...."blli4j.fo.~ '~I . .a~.. , ~ c-, ,.,,,,,lIj ' J. ~ 1

. -~ !.l 0 '

~j F= IlB sin9 6..i~4 b#I ".lA ';J~ ~ ,~ ~Ij ,~ !.l ,10..,.,.Jj .Jhll \,l ~ ) j44J1 ~ (1) f , O ", ..JI,.J,> ,:>~ 10

.~ !.l "l ~

1t. . -~W4-,9 =- \.! I J.WI~ 1.!~j4' B~ \..o~ d,..j ~ :: _~ !.l ... - 2

.F = IlB . .l! sine = 1 .)l:iJl,Ij 9 = O~ ?~\i JjWJ 4j1jA B~ \..o~ c.1.:l ~ '~:I !.l ()

.F = ON,t6..:J.A j F = lIB xO'u.:a!, sine = 0 .-~ :J

- 2 Wefill ~. ~~----------------------~ N ~ . i"...1 u.o,....9" j ,u"jl~ ...,.,6.lJIv- u.o ~ EE' j AA' U")\;~ ci...

.(J>:.:JI) ~ jW .!l~l j.!.,> l.4>,,>.!l ~ l..,..6.lJIV- CD ('g\.J

\.Jo"Ib..J\ 0A 4u; ~ (9Wlj ~, ~ W ~ !l 1 . CD = 1 =15cm,~ U")\;~ .j!,-"",L..>~.b ~ 2

('g\.JIJ.4.'.'; lA= w(F) ~llibj~l'jAll .j;>.. ".ill J . , JI.., .... > I ~ 3 . d=L=60cm .. \...0

-~~I, B "-

..wl

B

-

'--I--+-"'----E' E

r.;l .1,,-

~ "jI.9" ,J,06JI J>:.:J1,)~.9" ~ w=A ' JlAv- ,~I. F = liB sine U")\;~ ~l>,>"""" ,~I .

I=CD=15cm=O,15m , B=20mT=O,02T , I=4A,l:."..Il B j (CD cSl) j i ~ "'jl}1 '-'" e

1t - - - -9 =2 'ul> ' CD (il.Jlj ~I cSJ'-A ~ c,'0j4j ~ 0-'"

80 (1) 1

- 1

(4)

1 .o#!o~u!(jt...J

80 (2) @ (3) 1

8 (5) l 8 -

1

cWl .~I...l.,!J' J.C.I.! JL.u.:i...uI..,L=. I~ ~j....l..l:l oi ~

F ""'" ~",~Ij l ""'" ..,t;..Jlj ,B ""'" ..,J..~I";'#

",.~~, .IfALoI Li! .... )yl '-'1> .;,.0 ~l> ..,....,.,lli.J1 Jhll l~ ;,. yll B 0 -.~ ",.ill cS~1 ~ ~, .\4AI>.;,.o~, ..... )yl rLo1.;,.o J>I ..,....,.,lli.JIJhl' l~ ;"yll B -

,.".. w= (4), (3), (2), (1) -:.~bJl .."b .p ,.,..., lfl u.;WI >.p (1) >.p l' (5) ~ l' .)l>J\,>, 8=0-.",.. .~>4'i ~jA J ! Cg~\ ~ ";;i dJ6J\ o~ ~

;ll 4 ci> fill 3 r=_-----------------------------------------; ." B ~"""""u... Ji> \) "'~,. ir l .2.3 t-'AiCi lliWI .:J:Il..~I .;,.o "'''''''

-">-:!l , '4ll>JIJ~~I \)~,.jO>w= ~

-::3. n

;a

d

( 1)

o 8d ........ .. .... .. .. .... .. .... .

1 O,8d

08 0B 0 8

3JO J 1 4S 8 , , C, C, C,

(2) (3) (4)

. Ji Jhll ..... ~ ",.ill cS ~I JS,.:. ~ \) .:.... ~ l lfl ~

..w\ B j:i:tJ I ~~ ..$,jJl..s~' ..l.,a..l.;or.,j Ll l ,,~.-, ,~L41 j'Li "')~I '-'b. 0-' ,,-?-,. "I,~t> BJhlI' (4)j (2)j (1) J~~I,;!

(3)

(4

Fe>

1

. ""'~ '-"" 8=45 ... ,Ij,o .!lJ.J1uJI~ ~ 2

C, (2)

, ( 3) JS..:.JI ,;! 4 i\jJ.,Jll5~ ~ i.$~~ l$,:w...o ~ ~\~ F ;)#1

J P.!lJ.J1 JA> .". ~ If.'l J,S1 'J>uJl j'Li ,,-?-,. j .F ;...,)t,. i4J ;... ~

0B

, (4) JS..:.JI ,;! 41.!ll..J1...,u: ,-:?,j~ Aj)~I-S~ ~ W lj F 0#1

(":ill )~t.,o,. .... Lob) >.;J".w..:.......Jj

.)#' ~~t.....:.. .!1 3 F = I1B sinS '~j ~6JI0-' >lb J>= il J..I"')I.,.~ ~Li ~

- 1t 1 = d = lOcm , S = - ,( l ) >l6J1

2

F=2,5.10-2N l, F =5XO,10X50.10-3sin~ '.l!

30"i d -

1

"' -

, dB. ~ IdB - P=I sm~=-= "'l. cos 30 2 cos 30 .. ::" P=S x 0,10 x SO.1O-' :a' 0,866

-