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A particle of mass m is moving with a constant velocity along a line parallel to the +ve direction of the X-axis. The magnitude of its angular momentum w.r.t the origin ? (a) Is zero (b) Goes on increasing as x is increased (c) Goes on decreasing as x is increased (d) Remains constant for all positions of the particle

A particle of mass m is moving with a constant velocity along a line parallel to the +ve direction of the X-axis. The magnitude of its angular momentum w.r.t the origin ?
(a) Is zero
(b) Goes on increasing as x is increased
(c) Goes on decreasing as x is increased
(d) Remains constant for all positions of the particle

Grade:12

1 Answers

Vikas TU
14149 Points
2 years ago

When a particle moves with constant velocity, no external force acts on it. To produce torque and hence to change angular momentum we need some transversal force which is not acting and hence angular moment remains constant.

Also ang. mom = mvr

where r is the perpendicular distance from origin(in thus case) to the direction of motion, which constant as the particle is moving along a straight line. m and v are constant in problem. Thus angular momentum is constant.

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