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Question

At a given instant, block A is moving upwards with velocity of 5 m/s, what is velocity of block B at that instant? Assume that the strings are inextensible and pulleys are frictionless.

A
15 m/s
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B
15 m/s
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C
10 m/s
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D
5 m/s
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Solution

The correct option is A 15 m/s

Since the string is inextensible, length of the string remains constant. Let l1, l2, l3 and l4 are the intercepts of the string.
l1+l2+l3+l4=constant
Differentiating the above equation w.r.t time t, we get equation in terms of velocity i.e.
VAVAVA+VB=0 (Taking upward velocity to be negative and downward positive)
555+VB=0
VB=15 m/s

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