Question

A block of mass \( m \) is placed on a smooth inclined wedge ABC of inclination \( \theta \) as shown in the figure. The wedge is given an acceleration \( a \) towards the right. The relation between \( a \) and \( g \) for the block to remain stationary on the wedge is 

• A. \( a = \frac{g}{\sec \theta} \)
• B. \( a = \frac{g}{\sin \theta} \)
• C. \( a = g \tan \theta \)
• D. \( a = g \cos \theta \)

Hint:

When a block is stationary on an inclined plane with a moving wedge, the acceleration of the wedge must balance the component of gravitational force acting on the block.

Answer 1

The Correct Option is B