(a) What are the conditions for a particle to perform uniform circular motion about a fixed point? (b) Explain from both the dynamical and work-energy points of view why the speed of such a particle is constant. (c) Is the velocity of this particle constant? How about the acceleration?

(a) What are the conditions for a particle to perform uniform circular motion about a fixed point? (b) Explain from both the dynamical and work-energy points of view why the speed of such a particle is constant. (c) Is the velocity of this particle constant? How about the acceleration?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.3P

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Concept explainers

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.

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(a) What are the conditions for a particle to perform uniform circular motion about a fixed
point?
(b) Explain from both the dynamical and work-energy points of view why the speed of such a
particle is constant.
(c) Is the velocity of this particle constant? How about the acceleration?

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