The figure at right shows a child’s toy. This toy takes the form of a cylinder mounted on top of a hemisphere, of total mass M. The radius of the hemisphere is R, and the CM of the toy is a height h above the floor when the toy is vertical. Assume that the cylinder and the hemisphere have the same density. In terms of R, what is the maximum thickness d of the cylinder for which the toy will remain stable?
The figure at right shows a child’s toy. This toy takes the form of a cylinder mounted on top of a hemisphere, of total mass M. The radius of the hemisphere is R, and the CM of the toy is a height h above the floor when the toy is vertical. Assume that the cylinder and the hemisphere have the same density. In terms of R, what is the maximum thickness d of the cylinder for which the toy will remain stable?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The figure at right shows a child’s toy. This toy takes the form of a cylinder mounted on top of a hemisphere, of total mass M. The radius of the hemisphere is R, and the CM of the toy is a height h above the floor when the toy is vertical.
Assume that the cylinder and the hemisphere have the same density. In terms of R, what is the maximum
thickness d of the cylinder for which the toy will remain stable?
Transcribed Image Text:CM
х--
h
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