Moment of Inertia
KETot = (1/2) I 2
I =
[ mi ri2]
ri is the perpendicular distance from the axis of rotation.
For an extended body or a continuous body, this becomes
I =
[ mi ri2]
I =
[ ri2
mi ]
r is still the perpendicular distance from the axis of rotation.
Typically the density
will be a constant so we will have
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Examples Rotational Energy Torque Return to ToC, Ch10, Rotation about a Fixed Axis (c) Doug Davis, 2001; all rights reserved