lec25 - Lecture 25, 4/14, 2008 Test 4, Tuesday 4/29, 6 p.m....

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Lecture 25, 4/14, 2008 Test 4, Tuesday 4/29, 6 p.m.
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16.1 Periodic Motion and Energy Goal: Understand the fundamentals of periodic motion . • Periodic motion is any motion that repeats itself. It is due to a continuous back and forth conversion between potential and kinetic energy in an isolated system. Note: In reality, each of these conversions is accompanied by some energy dissipation, causing the periodic motion to die out. This process is called damping. We will act as if damping does not occur. We cover damping in UPIII, since it requires differential equations.
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16.1 Periodic Motion and Energy • The time duration of a full cycle of periodic motion is called the period, T. • Example: For an object in circular motion, the period is the amount of time it takes to trace out one circle. • The number of cycles completed in one second is called the frequency, f . It is the inverse of the period: f =1/T • The amplitude of periodic motion is the maximum displacement from the equilibrium position.
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16.2 Simple harmonic motion oal: Understand the basic properties that define simple harmonic motion . • Any oscillating object whose position vs. time curve is a sinusoidal function (sine or cosine) is called a simple harmonic oscillator, and its motion is called simple harmonic motion.
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16.2 Simple harmonic motion • The period of a simple harmonic oscillator is independent of the amplitude and determined solely by the properties of the system of which the object is a part. Any system whose period exhibits this property is called isochronous.
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This note was uploaded on 05/04/2008 for the course PHYS 2054 taught by Professor Stewart during the Spring '08 term at Arkansas.

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lec25 - Lecture 25, 4/14, 2008 Test 4, Tuesday 4/29, 6 p.m....

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