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Vibrations and Waves. Hooke’s Law Elastic Potential Energy Simple Harmonic Motion. Springs. _________ force of spring pushes/pulls mass toward ___________. Results in simple _______ motion Newton’s 2 nd Law gives harmonic _______ equation. Fig. 13.1, p. 426. Describing SHM.
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Vibrations and Waves Hooke’s Law Elastic Potential Energy Simple Harmonic Motion
Springs • _________ force of spring pushes/pulls mass toward ___________ • Results in simple _______ motion • Newton’s 2nd Law gives harmonic _______ equation Fig. 13.1, p. 426
Describing SHM • Amplitude, A, is _________ displacement from ________. Object oscillates between x = +A and x = −A • Period, T, is the time required to move through one complete ______ • Frequency, f, is the number of complete cycles per unit _____. f = 1/T
Elastic Potential Energy • Recall energy ______ in spring • Apply _____-_______ theorem Fig. 13.4, p. 429
Velocity as a Function of Position • Energy at maximum ___________ equals energy at ___ point in cycle Fig. 13.7, p. 431
SHM and Uniform Circular Motion • The projection of a ball rotating with constant angular speed, , on a two dimensional surface moves with simple harmonic motion Figs. 13.8 & 13.9, p. 433
SHM and Uniform Circular Motion • Equate energy at maximum __________ to energy at _________ position • Substitute into expression for period
