Question

In the arrangement shown, all surfaces are smooth. The
acceleration of the block relative to wedge is

options :
4
3
N.
g sinθ
g sinθ + a cosθ
g sinθ - a cosθ
a cosθ​

Answer 1

Given:

Angle of inclination = θ

Acceleration of the wedge = a

Mass of the block =m

To find:

The relative acceleration of the block relative to the edge.

Solution:

Let us consider that a pseudo force acts in the right direction, F pseudo = ma

As we can see from the image acceleration of block a' w.r.t. wedge will be g sinθ + a cosθ

The relative acceleration of the block relative to the wedge will be g sinθ + a cosθ.