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Question

A mass m is moving with a constant velocity v along a line parallel to X axis, away from origin. Then, its angular momentum with respect to the origin

A
is zero
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B
remains constant
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C
goes on increasing
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D
goes on decreasing
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Solution

The correct option is B remains constant
Particle is moving with a constant velocity v parallel to Xaxis, then the position vector r of particle is changing with respect to origin, but not the perpendicular distance about origin O.

distance of particle about origin=constant=y
Angular momentum about O:
|L|=mv r=mv y
|L|=constant
Direction of L is governed by direction of (r×mv), so it is also constant, since L is coming along ve Z-axis, i.e perpendicularly inwards for the plane XY.

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