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Kinetic energy in rotational motion
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![](pic/9.09.01.gif) |
Rotational Inertia or Momentum Inertia (转动惯量):
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![](pic/9.09.02.gif) |
If the mass density is uniform, ![](pic/9.09.03.gif) |
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Rotational inertial of a thin rod |
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Axis at center: ![](pic/9.10.02.gif) |
Axis at end: ![](pic/9.10.03.gif)
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Rotation of a cylinder about its symmetry axis |
![](pic/9.11.01.gif)
Solid cylinder: ![](pic/9.11.02.gif)
Thin wall: ![](pic/9.11.03.gif)
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![](pic/chapter9.11.01.gif) |
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Finding the moment of inertia for common shapes |
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Rotation of a uniform sphere about a center axis |
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Extended bodies and the Parallel Axis Theorem |
Parallel-Axis Theorem (平行轴定理):
![](pic/9.14.01.gif) is the rotational inertia about the axis through the center of mass. M is the mass of the rigid body.
![](pic/9.14.03.gif) is the lowest rotational inertia for a rigid body.
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![](pic/chapter9.14.01.gif) |
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