The rotational inertia / of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass M and a radius k given by k = M The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a) a cylinder of radius 4.27 m, (b) a thin spherical shell of radius 4.27 m, and (c) a solid sphere of radius 4.27 m, all rotating about their central axes. (a) Number i Units (b) Number i Units (c) Number i Units

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 89AP: A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis...
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The rotational inertia / of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about
that axis, if the hoop has the same mass Mand a radius k given by
The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a)
a cylinder of radius 4.27 m, (b) a thin spherical shell of radius 4.27 m, and (c) a solid sphere of radius 4.27 m, all rotating about their
central axes.
(a) Number
i
Units
(b) Number
i
Units
(c) Number
i
Units
Transcribed Image Text:The rotational inertia / of any given body of mass M about any given axis is equal to the rotational inertia of an equivalent hoop about that axis, if the hoop has the same mass Mand a radius k given by The radius k of the equivalent hoop is called the radius of gyration of the given body. Using this formula, find the radius of gyration of (a) a cylinder of radius 4.27 m, (b) a thin spherical shell of radius 4.27 m, and (c) a solid sphere of radius 4.27 m, all rotating about their central axes. (a) Number i Units (b) Number i Units (c) Number i Units
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