Physics 197 Lecture 22: Oscilliary Motion

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21 Aug 2016
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Physics 197 Full Course Notes
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Consider an object with mass m connected to a xed point with an ideal spring, and imagine that the mass moves in one dimension along the x axis on a level, frictionless surface. This equation also assumes that the object is moving in one direction: this equation is called hooke"s law. We call any object moving in one dimension whose net x-force has the form of the above equation a simple harmonic oscillator. The values of a and are determined by the object"s position and velocity at time t = 0. The oscillation"s period (the time required to complete 1 cycle) is t = 2pi/w. The oscillation"s frequency (the number of oscillations per unit time) is f = w/2pi. The si unit for the frequency is the hertz (hz) We conventionally think of the disk as rotating counterclockwise, and we take counterclockwise angles to be positive.

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