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(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR /5, where M is the mass of the sphere and Ris the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

(a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR /5, where M is the mass of the sphere and Ris the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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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7.10 (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR/5, where M is the mass of the sphere and R is the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
Transcribed Image Text:7.10 (a) Find the moment of inertia of a sphere about a tangent to the sphere, given the moment of inertia of the sphere about any of its diameters to be 2MR/5, where M is the mass of the sphere and R is the radius of the sphere. (b) Given the moment of inertia of a disc of mass M and radius R about any of its diameters to be MR/4, find its moment of inertia about an axis normal to the disc and passing through a point on its edge.
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