A particle of-mass m moves along a circular path of radius r with velocity v. What is its instantaneous angular momentum about a point on the plane of the orbit at a distance x from the centre of the axis of rotation.

Explanation

To find the instantaneous angular momentum of a particle of mass \( m \) moving along a circular path of radius \( r \) with velocity \( v \) about a point \( O \) at a distance \( x \) from the center of the circular path, we can follow these steps:

### Step 1: Understand the Concept of Angular Momentum
Angular momentum \( L \) about a point is given by the formula:
\[ L = m \cdot v \cdot r_{\text{OA}} \]
where \( r_{\text{OA}} \) is the position vector from point \( O \) to point \( A \) (the position of the particle).
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