Problem 7.26 A particle of mass m and angular momentum moves in a central spring-like force field F = −kr. (a) Sketch the effective potential energy Ueff(r). (b) Find the radius r0 of circular orbits. (c) Find the period of small oscillations about this orbit, if the particle is perturbed slightly from it. (d) Compare with the period of rotation of the particle about the center of force. Is the orbit closed or open for such small oscillations?

Problem 7.26 A particle of mass m and angular momentum moves in a central spring-like force field F = −kr. (a) Sketch the effective potential energy Ueff(r). (b) Find the radius r0 of circular orbits. (c) Find the period of small oscillations about this orbit, if the particle is perturbed slightly from it. (d) Compare with the period of rotation of the particle about the center of force. Is the orbit closed or open for such small oscillations?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter8: Potential Energy And Conservation Of Energy

Section: Chapter Questions

Problem 73AP: A mysterious force acts on all particles along a particular line and always points towards a...

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