The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a reg of volume V are defined to be AP(7 +) (x. m I, = Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 120 given by 0 Sx S 4, 0sys 3,0 sz5 5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 60E
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The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque (force
twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a region W
of volume V are defined to be
1,
I, =
(x +
(x?
Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 120 given by 0 S xS4,
0sys3,0 szs 5.
1, =
I, =
Transcribed Image Text:The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque (force twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a region W of volume V are defined to be 1, I, = (x + (x? Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 120 given by 0 S xS4, 0sys3,0 szs 5. 1, = I, =
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