A simple pendulum of length l and with a bob of mass m moving alon a circular are of angle `theta` in a vertical plane. A sphere of mass m is placed at the end of the circular arc. What momentum will be given to the sphere by the moving bob?

Explanation

To solve the problem of how much momentum will be given to the sphere by the moving bob of a pendulum, we can follow these steps:

### Step 1: Understand the System
We have a simple pendulum with a bob of mass \( m \) moving along a circular arc at an angle \( \theta \). At the end of this arc, there is a sphere of the same mass \( m \) that is initially at rest.

### Step 2: Identify Initial Conditions
- The initial velocity of the bob before it hits the sphere is denoted as \( U_1 \).
- The initial velocity of the sphere is \( U_2 = 0 \) (since it is at rest).
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