How would you relate Simple Harmonic Motion to Law of Universal Gravitation? Kindly give an example and illustration.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter5: Gravitation
Section: Chapter Questions
Problem 5.15P
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How would you relate Simple Harmonic Motion to Law of Universal Gravitation? Kindly give an example and illustration.

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