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 C $v\sin \theta$

Velocity of the block along the line is $v$.

Now, horizontal velocity = $v\cos (90-\theta )=v\sin \theta$

Therefore, C is correct option.