The figure below gives the moment of inertia Io for a point mass rotating about point O. As a reference, the figure also shows the moment of inertia of a sphere of radius R with respect to the center of mass "G". Suppose that instead of a point mass, a sphere of radius r is now in rotation about a fixed point O a distance R from its center of mass. Identify the moment of inertia Io of the sphere about the point O. Sphere Ic = Mass rotating about point O lo =mR? %3D O IL =mr? - mR? O I =mr? + mR O I =mr? %3D - O IL =mR +mR %3D m %3D

Elements Of Electromagnetics
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The figure below gives the moment of inertia Io for a point mass rotating about point O. As a
reference, the figure also shows the moment of inertia of a sphere of radius R with respect to the
center of mass "G". Suppose that instead of a point mass, a sphere of radius r is now in rotation
about a fixed point O a distance R from its center of mass. Identify the moment of inertia In of the
sphere about the point O.
le = mk
Sphere
%3D
R
Mass rotating about point O
lo = mR2
O I =mr? - mR
O I =mr2 +mR
O I =mr² -
23
O I = mR +mR
O Io =
{mr? +
mR
Previous
JAN
679
16
2TRANARA AMS
MacBook Pro
Transcribed Image Text:The figure below gives the moment of inertia Io for a point mass rotating about point O. As a reference, the figure also shows the moment of inertia of a sphere of radius R with respect to the center of mass "G". Suppose that instead of a point mass, a sphere of radius r is now in rotation about a fixed point O a distance R from its center of mass. Identify the moment of inertia In of the sphere about the point O. le = mk Sphere %3D R Mass rotating about point O lo = mR2 O I =mr? - mR O I =mr2 +mR O I =mr² - 23 O I = mR +mR O Io = {mr? + mR Previous JAN 679 16 2TRANARA AMS MacBook Pro
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