A circular rigid disk of mass m kg and radius rm is stationary at the top of a fixed sphere of radius 2r m. The disk is disturbed slightly from rest and rolls with planar motion down the sphere without slipping. Determine the value of angle at which the disk leaves the sphere. Derive the tangential friction force F between the disk and sphere as a function of angle 0.
A circular rigid disk of mass m kg and radius rm is stationary at the top of a fixed sphere of radius 2r m. The disk is disturbed slightly from rest and rolls with planar motion down the sphere without slipping. Determine the value of angle at which the disk leaves the sphere. Derive the tangential friction force F between the disk and sphere as a function of angle 0.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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
Transcribed Image Text:A circular rigid disk of mass m kg and radius rm is stationary at the top of a fixed sphere
of radius 2r m. The disk is disturbed slightly from rest and rolls with planar motion down
the sphere without slipping.
Determine the value of angle at which the disk leaves the sphere.
Derive the tangential friction force F between the disk and sphere as a function of
angle 0.
sphere
-2r.
disk
o'r
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