CAS PY 105 Chapter Notes - Chapter 15: Moment Of Inertia, Propagation Constant, Angular Frequency

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9 Apr 2015
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Chapter 15 oscillations: given data about the position x and velocity v at one instant, determine the phase. Imagine a particle that is oscillating about the origin of an x axis, repeatedly going left and right by identical amounts. The frequency f of the oscillation is the number of times per second that it completes a full oscillation (a cycle) and has the unit of hertz (abbreviated. 1 hertz = 1 hz = 1 oscillation/s = 1 s 1. The time for one full cycle is the period t of the oscillation, which is. Any motion that repeats at regular intervals is called periodic motion or harmonic mo- tion. However, here we are interested in a particular type of periodic motion called simple harmonic motion (shm). Such motion is a sinusoidal function of time t. x(t) = xm cos( t + ) Here, x(t) is the displacement of the particle.

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