First slide

Constraints

Question

In the shown arrangement, the end P of an unstretchable string move downwards with uniform speed u. Mass M moves rightward with a speed of :

Easy

A

$ucosθ$
B

$usinθ$
C

$\frac{u}{sinθ}$
D

$\frac{u}{cosθ}$

Solution

As magnitude of component of velocity along string is constant so
$v_{P} = v_{M} \cos (90^{\circ} - θ) \Rightarrow v = v_{M} \sin θ$
$v_{M} = \frac{u}{\sin θ}$

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