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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The tension throughout the string is the same and equals $T = \frac{2 m g}{3}$

Pulley A has acceleration $\frac{g}{3}$ in downward direction and pulleys B and C have acceleration $\frac{g}{3}$ each in upward direction.

Pulleys A and B have acceleration $\frac{g}{3}$ each in downward direction and pulley C has acceleration $\frac{g}{3}$ in upward direction

Pulleys A,B and C all have acceleration $\frac{g}{3}$ in downward direction

answer is A, B.

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Detailed Solution

$- 2 T a_{c} + T a_{B} - T a_{A} = 0 2 a_{c} + a_{A} - a_{B} = 0 2 a c + a_{A} = a_{B}$

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