sum_lecture04 - swinging (or the spring bouncing, or the...

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The Physics of Light & Sound Oscillating Systems Drs. Paulson and Scully GSCI 121 Summer 2010 Lecture 4
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What do these things a swinging pendulum a mass bouncing on a spring a ball rolling in a ditch
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Restoring Force Things like a pendulum or spring have a “restoring force”: When displaced from center (equilibrium), there is a force that pulls it back to center. The force depends on how far from center the object is. F F
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Oscillatory Motion Any time I have an equilibrium position and a restoring force Today – mass on a spring (tomorrow – pendulum)
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If we perturb a mass on a spring, we can create simple harmonic motion : Mass-Spring System Whenever you have a restoring force , it always tries to bring the mass back to the equilibrium position .
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Oscillations If we plot the motion of this pendulum
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Unformatted text preview: swinging (or the spring bouncing, or the ball rolling), we get something like this: This is an oscillation or a wave how do we describe it? Whether the mass is hanging vertically or sliding horizontally, the frequency of the oscillation is the same. Mass-Spring System The frequency is the number of complete cycles per second the system makes or how many hertz . f = 1 2 k m The amplitude , A , of the motion is the maximum displacement from equilibrium. The angular frequency of the motion is denoted by . The period is just one over the frequency . Mass-Spring System How much energy is contained within the system? Lets choose the location where there is only elastic potential energy: Mass-Spring System Total Energy = 1 2 kh 1 2 = 1 2 kA 2...
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This note was uploaded on 05/23/2011 for the course GSCI 121 taught by Professor Niculescu,m during the Summer '08 term at James Madison University.

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sum_lecture04 - swinging (or the spring bouncing, or the...

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