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Q.

In the pulley system shown the movable pulleys A,B and C have mass m each, D and E are fixed pulleys. The strings are vertical, light and inextensible. Then, 

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a

pulleys A,B and C all have acceleration g3 in downward direction

b

pulley A has acceleration g3 in downward direction and pulleys B and C have acceleration g3 each in upward direction.

c

pulleys A and B have acceleration g3 each in downward direction and pulley C has acceleration g3 in upward direction

d

the tension throughout the string is the same and equals T=2mg3

answer is A, B.

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Detailed Solution

Let T be the tension in string 

-2TaC+TaB-TaA=0

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aA+2aC=aB...(i)       mg-2T=maC...(ii) T-mg=maB...(iii)       mg-T=maA...(iv)

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In the pulley system shown the movable pulleys A,B and C have mass m each, D and E are fixed pulleys. The strings are vertical, light and inextensible. Then,