A horizontal force `F` acts on the sphere at its centre as shown. Coefficient of friction between ground and sphere is `mu`. What is maximum value of `F` for which there is no slipping?

Explanation

To solve the problem, we need to analyze the forces acting on the sphere and the conditions for no slipping to occur.

### Step 1: Identify the forces acting on the sphere
The forces acting on the sphere are:
- The applied horizontal force \( F \) at the center of the sphere.
- The frictional force \( f \) acting at the point of contact with the ground, opposing the motion.
- The weight of the sphere \( mg \) acting downwards at its center.
- The normal force \( N \) acting upwards at the point of contact.
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