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Chapter 1: Q20DQ (page 328)

A point particle travels in a straight line at a constant speed, and the closest distance it comes to the origin of coordinates is a distance l. With respect to this origin, does the particle have nonzero angular momentum? As the particle moves along its straight-line path, does its angular momentum with respect to the origin change?

Short Answer

Expert verified

The particle has nonzero angular momentum with respect to the origin

This angular momentum does not change.

Step by step solution

01

Concept used

Conservation of angular momentum: Angular momentum of a system is conserved as long as no external torque is acting upon it.

02

Explanation

The angular momentum of a particle is where is the momentum of the particle and its closest distance of approach to the origin is .

Since the particle is moving in a straight line and with a constant speed, so net force acting on the particle is zero.

This implies net torque is also zero.

Hence by the law of conservation of momentum, angular momentum is conserved.

03

Conclusion

Hence, the particle has nonzero angular momentum with respect to the origin and this angular momentum does not change.

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