A uniform rod of mass M and length 2a lies along the intervals [-a, a] of the x-axis and of mass m is situated at the point x = x'. Show all work in this problem, even if you happen to have written this particular solution on your formula sheet (you must rederive it). (a) Find the gravitational force exerted by the rod on the particle. (b) What would happen if the particle were replaced by a hollow sphere of the same mass, centered at r'. Does your answer depend on how large the sphere is?

A uniform rod of mass M and length 2a lies along the intervals [-a, a] of the x-axis and of mass m is situated at the point x = x'. Show all work in this problem, even if you happen to have written this particular solution on your formula sheet (you must rederive it). (a) Find the gravitational force exerted by the rod on the particle. (b) What would happen if the particle were replaced by a hollow sphere of the same mass, centered at r'. Does your answer depend on how large the sphere is?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter10: Motion In A Noninertial Reference Frame

Section: Chapter Questions

Problem 10.12P

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