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Question

Find the velocity of block A i.e. vA in the shown figure.

A
vA=v5, upward
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B
vA=5v, upward
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C
vA=v5, downward
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D
vA=5v, downward
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Solution

The correct option is A vA=v5, upward
Let the velocity of block A be vA upward

As we know that, the string's end attached to the fixed pulley will have zero velocity. So, considering the points 1 to 6 in the figure, we have
vAvAvAvAvA+v=0
5vA=v vA=v5
Hence, velocity of block A is vA=v5, upward.

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