A particle is moving with constant speed v along x - axis in positive direction. Find the angular velocity of the particle about the point (0, b), when position of the particle is (a, 0).

Explanation

To find the angular velocity of a particle moving with constant speed \( v \) along the x-axis about the point \( (0, b) \) when the position of the particle is \( (a, 0) \), we can follow these steps:

### Step 1: Identify the position of the particle and the reference point
The particle is located at \( (a, 0) \) on the x-axis, and we need to calculate its angular velocity about the point \( (0, b) \).

### Step 2: Determine the position vector \( \mathbf{R} \)
The position vector \( \mathbf{R} \) from the point \( (0, b) \) to the particle's position \( (a, 0) \) can be expressed as:
\[
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