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Determine-the-speed-with-which-block-B-rises-in-figure-if-the-end-of-the-cord-at-A-is-pulled-down-with-a-speed-of-2-m-s-




Question Number 20344 by Tinkutara last updated on 25/Aug/17
Determine the speed with which block  B rises in figure if the end of the cord at  A is pulled down with a speed of 2 m/s.
DeterminethespeedwithwhichblockBrisesinfigureiftheendofthecordatAispulleddownwithaspeedof2m/s.
Commented by Tinkutara last updated on 25/Aug/17
Commented by ajfour last updated on 25/Aug/17
0.5m/s .  if block rises by y, then E goes  up by y, and C comes down by y.  lengrh of rope that available for  pull=4y =x (say)  now   4((dy/dt)) = (dx/dt)                4v_(block) =2m/s      v_(block) =0.5m/s .
0.5m/s.ifblockrisesbyy,thenEgoesupbyy,andCcomesdownbyy.lengrhofropethatavailableforpull=4y=x(say)now4(dydt)=dxdt4vblock=2m/svblock=0.5m/s.
Commented by Tinkutara last updated on 25/Aug/17
Thank you very much Sir!
ThankyouverymuchSir!
Answered by Tinkutara last updated on 27/Aug/17
Commented by Tinkutara last updated on 27/Aug/17
This is my try! Please do not delete  your own solution ajfour Sir.
Thisismytry!PleasedonotdeleteyourownsolutionajfourSir.
Commented by Tinkutara last updated on 27/Aug/17
Total length of string  = 3x + 4(y − x) = 4y − x = C  Differentiating w.r.t time,  4v_B  = v_A   ⇒ v_B  = 2 ÷ 4 = 0.5 m/s
Totallengthofstring=3x+4(yx)=4yx=CDifferentiatingw.r.ttime,4vB=vAvB=2÷4=0.5m/s

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