A particle moving along a line that passes through the origin has zero angular momentum about that origin
true
false
True
To determine whether the statement is true or false, 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 a specified axis. It depends on the mass, velocity, and distance of the object from the axis of rotation. For a particle moving along a line passing through the origin, its angular momentum with respect to the origin is given by the equation:
L = r x p
where L is the angular momentum, r is the position vector of the particle from the origin, and p is the momentum vector of the particle.
Since the particle is moving along a line passing through the origin, its position vector r will always point directly towards or away from the origin. In this case, the cross product of the position vector and momentum vector will be zero because they are parallel or antiparallel. This means that the angular momentum about the origin will also be zero.
Therefore, the statement is true. A particle moving along a line that passes through the origin will have zero angular momentum about the origin.