lecture32 - Oscillatory Motion Serway &...

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Unformatted text preview: Oscillatory Motion Serway & Jewett (Chapter 15) M Equilibrium position: no net force M The spring force is always directed back towards equilibrium (hence called the restoring force ). This leads to an oscillation of the block about the equilibrium position. M For an ideal spring, the force is proportional to displacement . For this particular force behaviour, the oscillation is simple harmonic motion. x F = -kx ) cos( + = t A x SHM: x ( t ) t A-A T A = amplitude = phase constant = angular frequency A is the maximum value of x ( x ranges from + A to - A ). gives the initial position at t=0: x(0) = A cos . is related to the period T and the frequency f = 1/T T (period) is the time for one complete cycle (seconds). Frequency f (cycles per second or hertz , Hz) is the number of complete cycles per unit time. 2 2 f T = = units: radians/second or s-1 (omega) is called the angular frequency of the oscillation. Velocity and Acceleration 2 MAX MAX 2 2 : Note ) cos(...
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lecture32 - Oscillatory Motion Serway &...

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