A hollow spherical ball is given an initial push, up an incline of inclination angle `alpha`. The ball rolls purely coefficient of static friction between ball and incline `=mu`. During its upwards journey.

Options

A. friction acts up along the incline
B. `mu_(min)=(2tanalpha)//5`
C. friction will be no rotation if `h=R`
D. `mu_(min)=(2tanalpha)//7`

Explanation

To solve the problem of a hollow spherical ball rolling up an incline with angle α and a coefficient of static friction μ, we will follow these steps:

### Step 1: Analyze the Forces Acting on the Ball
The forces acting on the hollow spherical ball when it is rolling up the incline are:
- The gravitational force acting downwards, which can be resolved into two components:
- Perpendicular to the incline: \( mg \cos \alpha \)
- Parallel to the incline: \( mg \sin \alpha \)
- The normal force \( N \) acting perpendicular to the incline.
...