PHY183-Lecture33 - Physics for Scientists & Engineers 1...

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March 10, 2008 1 Engineers 1 Engineers 1 Lecture 33
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March 10, 2008 2 Rotation Rotation We have been treating bodies by looking at the motion of the center of mass We introduced the concept of motion of the center of mass + rotation about the center of mass We have covered circular motion of the center of mass Now we will study rotation We will concentrate on the rotation of solid, extended objects
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March 10, 2008 3 Rotation of Non-Solid Extended Objects Rotation of Non-Solid Extended Objects Andromeda Galaxy Hurricane
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March 10, 2008 4 Kinematics of Circular Kinematics of Circular Motion Motion We start with some familiar concepts that we introduced to describe circular motion Angular displacement Angular velocity Angular acceleration ! = d " dt = d dt = d 2 # dt 2
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March 10, 2008 5 Linear and Circular Motion Linear and Circular Motion We related the variables describing circular motion to the variables describing linear motion Displacement, velocity, and acceleration Kinetic energy for linear motion Kinetic energy for circular motion (point particle) s = r ! v = r " a = r # K = 1 2 mv 2 K = 1 2 mv 2 = 1 2 m ( r ) 2 = 1 2 mr 2 2
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March 10, 2008 6 Several Point Particles Several Point Particles Now let’s discuss the kinetic energy of several point particles If we assume that these particles keep their distances
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PHY183-Lecture33 - Physics for Scientists & Engineers 1...

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