A ball of mass M and radius R rolls smoothly from rest, at initial height h, down the above ramp and onto a circular loop of radius r. At the loop bottom, the magnitude of the normal force on the ball is N = 2Mg. This ball, however, has nonuniform mass density, as it consists of an outer spherical shell and an inner sphere, each of different uniform mass densities. This results in I = BM R² where B # 2/5. What is 3 for our ball?

A ball of mass M and radius R rolls smoothly from rest, at initial height h, down the above ramp and onto a circular loop of radius r. At the loop bottom, the magnitude of the normal force on the ball is N = 2Mg. This ball, however, has nonuniform mass density, as it consists of an outer spherical shell and an inner sphere, each of different uniform mass densities. This results in I = BM R² where B # 2/5. What is 3 for our ball?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter11: Dynamics Of Rigid Bodies

Section: Chapter Questions

Problem 11.10P

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