Lecture 25

# Lecture 25 - Last Meeting Physics 231 General University...

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1 Physics 231 General University Physics Spring 2007 Lecture 25 Last Meeting ± Kinematics of Rotation ² Constant angular acceleration ± Kinetic Energy of Rotation ± Moment of Inertia Today ± Moment of Inertia ± Kinetic Energy ± Rolling Moments of Inertia of Various Rigid Objects I sphere < I disk < I cyl. shell

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2 Quiz: The following objects have the same mass and same radius. They are rotating (about their CM) with the same speed. Which has the greatest kinetic energy? Cy lin d r.. So lid c . Sp h e r i.. li 25% 25% 1. Cylindrical shell 2. Solid cylinder 3. Spherical shell 4. Solid sphere 5 4 3 2 1 10 Parallel-Axis Theorem ± In the previous examples, the axis of rotation coincided with the axis of symmetry of the object ± For an arbitrary axis, the parallel-axis theorem often simplifies calculations ± The theorem states I = I CM + MD 2 ² I is about any axis parallel to the axis through the center of mass of the object ² I CM is about the axis through the center of mass ² D
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Lecture 25 - Last Meeting Physics 231 General University...

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