W10.3 - March 18, 2008 Physics for Scientists&Engineers...

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Unformatted text preview: March 18, 2008 Physics for Scientists&Engineers 1 1 Physics for Scientists & Physics for Scientists & Engineers 1 Engineers 1 Lecture 36 March 18, 2008 Physics for Scientists&Engineers 1 2 Review: Torque Review: Torque ! ! = ! r " ! March 18, 2008 Physics for Scientists&Engineers 1 2 Review: Torque Review: Torque ! ! = ! r " ! F March 18, 2008 Physics for Scientists&Engineers 1 3 Review: Angular Momentum Review: Angular Momentum We start by defining the angular momentum of a point particle The magnitude of the angular momentum is given by Angular momentum and torque: For rigid objects (and only for them): ! L = ! r ! ! p L = rp sin ! d dt ! L = ! ! ! L = I ! ! March 18, 2008 Physics for Scientists&Engineers 1 4 Conservation of L Conservation of L If the net torque is zero, then Angular momentum is conserved The conservation of angular momentum has many interesting consequences Gyroscopes Divers Dancers Ice-skaters if ! ! net = " ! L = constant " ! L ( t ) = ! L ( t ) # ! L I ! ! = I ! ! March 18, 2008 Physics for Scientists&Engineers 1 5 Death of a Star Death of a Star If the iron core of a dying star initially spins with a rotation frequency of f = 3.20 s-1 , and if the cores radius decreases during the collapse by a factor of...
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This note was uploaded on 04/06/2008 for the course PHY 183 taught by Professor Wolf during the Spring '08 term at Michigan State University.

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W10.3 - March 18, 2008 Physics for Scientists&Engineers...

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