What is the relation between coefficient of friction and angle of repose ?

Explanation

To find the relation between the coefficient of friction (μ) and the angle of repose (θ), we can analyze the forces acting on a block resting on an inclined plane at the angle of repose. Here are the steps to derive the relationship:

### Step-by-Step Solution:

1. **Understand the Scenario**:
- Consider a block of mass \( m \) resting on an inclined plane at an angle \( \theta \) (the angle of repose). At this angle, the block is on the verge of slipping but is still at rest.

2. **Identify the Forces**:
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