A particle is moving along a line that passes through the origen has zero angular momentum about that origen?
To determine if a particle moving along a line passing through the origin has zero angular momentum about that origin, we need to understand what angular momentum is and how it is calculated.
Angular momentum is a measure of the rotational motion of an object around an axis. It depends on two factors: the moment of inertia of the object and its angular velocity.
In the case of a particle moving along a line, we can consider the particle as a point mass with negligible size and assume that the particle's mass is located only at its center. Since the particle is moving along a line passing through the origin, its distance from the origin remains constant, and hence, its moment of inertia is zero.
The formula for angular momentum (L) is given by:
L = moment of inertia (I) × angular velocity (ω)
Since the moment of inertia (I) is zero for a particle moving along a line, the angular momentum (L) will also be zero. Therefore, a particle moving along a line passing through the origin will have zero angular momentum about that origin.