L01_a - Oscillations: Review (Chapter 12) Oscillations:...

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Unformatted text preview: Oscillations: Review (Chapter 12) Oscillations: motions that are periodic in time (i.e. repetitive) o Swinging object (pendulum) o Vibrating object (spring, guitar string, etc.) o Part of medium (i.e. string, water) as wave passes by Oscillation requires o Restoring force (pushes system back toward equilibrium) o Inertia (keeps system going past equilibrium) Oscillator example: Mass on a Spring: o (Restoring) force from spring varies with extension o Hookes Law: kx F x = (linear restoring force) If mass m is displaced by x from equilibrium and released will oscillate If force is linear and restoring (and thus conservative) o Motion is simple harmonic motion (SHM) o System is a simple harmonic oscillator (SHO) Acceleration in SHM: not constant depends on x Newtons 2 nd law says = x x ma F o For SHM, implies x ma kx = so that x m k a x = At max. positive displacement from equil. ( ) A x = A m k a x = and = x v At equilibrium ( x=0 ) = x a and max v v x = At max. negative displacement from equil. ( ) A x = A m k a x + = and = x v How do we find an expression for x ( t ) in SHM? First: find an equation for which x ( t ) is the solution....
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This note was uploaded on 03/08/2012 for the course PHYSICS 1051 taught by Professor Michaelmorrow during the Winter '12 term at Memorial University.

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L01_a - Oscillations: Review (Chapter 12) Oscillations:...

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