5. For the following displacement functions describing simple harmonic mo- tion, identify the amplitude, angular frequency, cyclic frequency, period, and phase shift (with respect to the unshifted cosine function). (a) x(t) = 4 cos(10t +20) (b) x(t) = 10 sin(2t - 3) (c) x(t) = 2[cos(4t) + sin(4t)]. Note that you must first get this in the appropriate form with some trigonometric identities!

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
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Problem 2P: A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 3...
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5. For the following displacement functions describing simple harmonic mo-
tion, identify the amplitude, angular frequency, cyclic frequency, period,
and phase shift (with respect to the unshifted cosine function).
(a) x(t) = 4 cos(10t+20)
(b) x(t) = 10 sin(2t - 3)
(c) x(t) = 2[cos(4t) + sin(4t)]. Note that you must first get this in the
appropriate form with some trigonometric identities!
Transcribed Image Text:5. For the following displacement functions describing simple harmonic mo- tion, identify the amplitude, angular frequency, cyclic frequency, period, and phase shift (with respect to the unshifted cosine function). (a) x(t) = 4 cos(10t+20) (b) x(t) = 10 sin(2t - 3) (c) x(t) = 2[cos(4t) + sin(4t)]. Note that you must first get this in the appropriate form with some trigonometric identities!
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