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**Unformatted text preview: **Kinetic Energy The kinetic energy of the wheel shown in Figure 12.3 can be calculated easily using the formulas derived in Chapter 11 where I P is the rotational inertia around the axis through P, and [omega] is the rotational velocity of the wheel. The rotational inertia around an axis through P, I P , is related to the rotational inertia around an axis through the center of mass, I cm The kinetic energy of the wheel can now be rewritten as where the first term is the kinetic energy associated with the rotation of the wheel about an axis through its center of mass and the second term is associated with the translational motion of the wheel. Example Problem 12-1 Figure 12.4 shows a disk with mass M and rotational inertia I on an inclined plane. The mass is released from a height h. What is its final velocity at the bottom of the plane ? The disk is released from rest. Its total mechanical energy at that point is equal to its potential energy When the disk reaches the bottom of the plane, all of its potential energy is converted into kinetic...

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