A block of mass m is placed on a smooth wedge of inclination Q. The whole system is accelerated horizontally so that the block does not slip on the wedge. Find the
i) Acceleration of the wedge
ii) Force to be applied on the wedge
iii) Force exerted by the wedge on the block.

Explanation

To solve the problem of a block of mass \( m \) placed on a smooth wedge of inclination \( \theta \) that is accelerated horizontally, we will follow these steps:

### Step 1: Analyze the Forces Acting on the Block
The block experiences the following forces:
1. Weight acting downwards: \( mg \)
2. Normal force \( N \) exerted by the wedge on the block, acting perpendicular to the surface of the wedge.
3. Pseudo force \( F_p = ma \) acting horizontally in the opposite direction of the acceleration of the wedge.

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