L = r x p
where:
* L is the angular momentum
* r is the position vector from the point to the particle
* p is the linear momentum of the particle (p = mv)
* x denotes the cross product
Let's analyze the situation:
* The particle is moving parallel to the x-axis. This means its velocity vector is along the x-axis, and its position vector will always lie in the xy-plane (assuming the origin is on the x-axis).
* The particle's velocity is constant.
Since the particle is moving parallel to the x-axis, the position vector 'r' and the linear momentum vector 'p' will be parallel to each other. The cross product of two parallel vectors is always zero.
Therefore, the angular momentum of the particle about the origin is zero.
In conclusion: A mass moving with a constant velocity parallel to the x-axis has zero angular momentum about the origin.
