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Q.

In the pulley system shown in figure the movable pulleys A, B and C are of mass 1 kg each. D and E are fixed pulleys. The strings are light and inextensible.Choose the correct alternative (s).

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a

Tension in the string is 6.5 N

b

Acceleration of pulley A is g/3 downward

c

Acceleration of pulley B is g/6 upward

d

Acceleration of pulley C is g/3 upward

answer is A.

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Detailed Solution

In the figureyB−yA+yB+2yA+yC−yB+yC= constant Take the second derivative of this equation w.r.t. time to getaA+aB+2aC=0    .......(1)T+mg−2T=maA    .......(2)T+mg−2T=maB   ........(3)mg−2T=maC  .......(4)Substituting m = 1 and solving the four equations, we get aA=aB=−aC=g3 and T=6.5N
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