First slide

Constraints

Question

In the arrangement shown in figure, the ends P and Q of an unstretchable string move downwards with uniform speed u. Pulleys A and B are fixed: Mass M moves upward with a speed :

Easy

A

$2 ucosθ$
B

$ucosθ$
C

$\frac{2 u}{cosθ}$
D

$\frac{u}{cosθ}$

Solution

As magnitude of component of velocity along string is constant so
$v_{M} cosθ = v_{P} or v_{Q}$
$v_{M} cosθ = u \Rightarrow v_{M} = \frac{u}{cosθ}$

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