Question

A block is dragged on a smooth plane with the help of a rope which moves with a velocity $v$ as shown in figure. The horizontal velocity of the block is:

• A. $v$
• B. $\frac{v}{\sin \theta }$
• C. $v\sin \theta$
• D. $\frac{v}{\cos \theta }$

Answer 1

The correct option is B $\frac{v}{\sin \theta }$


Component of velocity along string must be same,

So, Velocity of $m$ along string $=v$
So, $v_m\sin \theta =v\Rightarrow v_m=\frac{v}{\sin \theta }$