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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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
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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