A juggler juggles three balls in a continuous cycle. Any one ball is in contact with his hand for one-fifth of the time. Describe the motion of the centre of mass of the three balls. What average force does the juggler exert on one ball while he is touching it?

Explanation

To solve the problem, we need to analyze the motion of the three balls being juggled by the juggler and the forces involved when one ball is in contact with his hand.

### Step-by-Step Solution:

1. **Understanding the Juggling Cycle**:
The juggler is juggling three balls in a continuous cycle. Each ball is in contact with the juggler's hand for one-fifth of the time. This means that while one ball is being tossed, the other two are in free fall.

2. **Time Distribution**:
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