A 90 kg man is standing in contact with the wall of a cylindrical drum of radius 2 m. The drum is rotating about its vertical axis with an angular speed of 100 rpm. Calculate the minimum rotational speed of the cylinder to enable the man to remain stuck to the wall when the floor is suddenly removed. The coefficient of friction between wall and clothing is 0.1.

Explanation

To solve the problem, we need to determine the minimum rotational speed of the cylindrical drum that will allow the man to remain stuck to the wall when the floor is suddenly removed.

### Step-by-Step Solution:

1. **Identify the Forces Acting on the Man:**
- When the floor is removed, the only forces acting on the man are:
- The gravitational force (weight) acting downwards: \( F_g = mg \)
- The normal force exerted by the wall of the drum acting horizontally towards the center of the drum: \( F_n \)
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