A block slide down an incline of angle `30^@` with an acceleration g/4. Find the kinetic friction coefficient.

Explanation

To solve the problem of finding the coefficient of kinetic friction for a block sliding down an incline at an angle of \(30^\circ\) with an acceleration of \(\frac{g}{4}\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Block:**
- The weight of the block \(W = mg\) acts vertically downward.
- The component of the weight parallel to the incline is \(W_{\parallel} = mg \sin(30^\circ)\).
- The component of the weight perpendicular to the incline is \(W_{\perpendicular} = mg \cos(30^\circ)\).
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