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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.

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Choose the correct alternative (s).

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a

Acceleration of pulley C is g/3 upward

b

Acceleration of pulley A is g/3 downward

c

Acceleration of pulley B is g/6 upward

d

Tension in the string is 6.5 N

answer is A, B, D.

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Detailed Solution

In the figure

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yByA+yB+2yA+yCyB+yC= constant 

Take the second derivative of this equation w.r.t. time to get

aA+aB+2aC=0    .......(1)T+mg2T=maA    .......(2)T+mg2T=maB   ........(3)mg2T=maC  .......(4)

Substituting m = 1 and solving the four equations, we get aA=aB=aC=g3 and T=6.5N

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