49. (III) Derive the formula for the moment of inertia of a uniform sphere of radius ro and mass M about an axis through its center (Fig. 10-21e). [Hint: Divide the sphere into infinitesimally thin disks (cylinders) of thickness dy. Then use the result of Example 10-10 or Fig. 10-21c, and integrate over these cylindrical disks.] (e) Uniform sphere of radius ro Axis Through center ro 403-01 Axis (c) Solid cylinder of radius Ro Through center df moal nd RO Mr 10515 MR
49. (III) Derive the formula for the moment of inertia of a uniform sphere of radius ro and mass M about an axis through its center (Fig. 10-21e). [Hint: Divide the sphere into infinitesimally thin disks (cylinders) of thickness dy. Then use the result of Example 10-10 or Fig. 10-21c, and integrate over these cylindrical disks.] (e) Uniform sphere of radius ro Axis Through center ro 403-01 Axis (c) Solid cylinder of radius Ro Through center df moal nd RO Mr 10515 MR
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![49. (III) Derive the formula for the moment of inertia of a uniform sphere of radius ro and mass M about an axis
through its center (Fig. 10-21e). [Hint: Divide the sphere into infinitesimally thin disks (cylinders) of thickness dy.
Then use the result of Example 10-10 or Fig. 10-21c, and integrate over these cylindrical disks.]
(e) Uniform
sphere of
radius ro
Axis
Through
center
ro
403-01 Axis
(c) Solid cylinder
of radius Ro
Through
center
df moal nd
RO
Mr
10515
MR](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5aa5235-9d86-433b-a02d-b86a1bf530ea%2Fa87d6aaa-03ac-4f0d-a4c7-6a675f05a679%2Fqus9elj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:49. (III) Derive the formula for the moment of inertia of a uniform sphere of radius ro and mass M about an axis
through its center (Fig. 10-21e). [Hint: Divide the sphere into infinitesimally thin disks (cylinders) of thickness dy.
Then use the result of Example 10-10 or Fig. 10-21c, and integrate over these cylindrical disks.]
(e) Uniform
sphere of
radius ro
Axis
Through
center
ro
403-01 Axis
(c) Solid cylinder
of radius Ro
Through
center
df moal nd
RO
Mr
10515
MR
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