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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a
vB=vA,aB=0
b
aB=0
c
vB=35vA
d
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)