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?
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 30P
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5302243e-bfe3-4faa-a729-c9f62eae2691%2F79653af4-1b51-414f-86e0-a568a2132a95%2F76ngle_processed.png&w=3840&q=75)
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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