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Chapter 14 4 Oscillations

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Section 14-1: Simple Harmonic Motion A simple harmonic oscillator is any system that oscillates. An example of this is a mass on the end of a spring. F is a linear restoring force. Hooke’s law F=-kX F X

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The frequency and period of the simple harmonic oscillator are independent of the amplitude.

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Simple Harmonic Motion and Circular Motion

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Section 14-2: Energy in Simple Harmonic Motion

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General Motion Near Equilibrium

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Section 14-3: Some Oscillating Systems Object on a vertical spring Here’s an applet to study the vertical spring pendulum. springforce

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Derivation of the Potential Energy for the Vertical Spring Here’s an applet to study the wave motion of a vertical spring. springwave The Simple Pendulum

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The speed is not uniform in a simple pendulum. The speed is greatest near the bottom of its swing. The reason why the period is independent of amplitude is because the speed makes up for the difference in amplitude.

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Pendulum in an accelerated reference frame The tilt of a pendulum in an accelerated reference frame forms the basis of modern accelerometers.

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Simple Harmonic Motion. Restoring Forces in Spring F=-kx This implies that when a spring is compressed or elongated, there is a force that tries to.

Simple Harmonic Motion. Restoring Forces in Spring F=-kx This implies that when a spring is compressed or elongated, there is a force that tries to.

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