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?

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter9: Atomic Structure

Section: Chapter Questions

Problem 2P

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