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?

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Problem 4:
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 = BMR² where 3 + 2/5. What is 3 for
our ball?
Transcribed Image Text:Problem 4: 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 = BMR² where 3 + 2/5. What is 3 for our ball?
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