A uniform cylinder of height `h` and radius `r` is placed with its circular face on a rough inclined plane and the inclination of the plane to the horizontal is gradually increased. If `mu` is the coefficient of friction, then under what condition the cylinder will (a) slide before toppling (b) topple before sliding.

Explanation

To solve the problem of determining the conditions under which a uniform cylinder will slide before toppling or topple before sliding on a rough inclined plane, we can break it down into two parts:

1. **Condition for Sliding Before Toppling**
2. **Condition for Toppling Before Sliding**

### Step-by-Step Solution:

#### Step 1: Analyze Forces Acting on the Cylinder
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