A particle of mass m is dropped in a tunnel through the earth (of mass M and radius R). Find its time period of oscillation.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.11P
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A particle of mass m is dropped in a tunnel through the earth (of mass M and radius R). Find its time period of oscillation.

  • Assume that the tunnel is not the diameter of the earth (i.e. it is a chord)
  • Draw the diagram with proper force vectors in this case
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