The string shown in figure is passing over small smooth pulley rigidly attached to trolley A. If the speed of trolley is constant and equal to vA towards right, speed and magnitude of acceleration of block B at the instant shown in figure are

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vB=vA,aB=0

aB=0

vB=35vA

aB=16vA2125

answer is C.

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Detailed Solution

(y−h)+x2+h2=l or dydt+xx2+h2dxdt=0dydt=−xx2+h2dxdt⇒dydt=−35−vAvB=35vA ..........(i)d2ydt2=vA2h2x2+h23/2⇒aB=vA216(5)3=16125vA2 ........(ii)

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