Vibrations and Waves Hooke’s Law Elastic Potential Energy Simple Harmonic Motion

Springs _________ force of spring pushes/pulls mass toward ___________ Fig. 13.1, p. 426 Results in simple _______ motion Newton’s 2 nd Law gives harmonic _______ equation

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 Fig. 13.4, p. 429 Apply _____-_______ theorem

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 & 13.9, p. 433

SHM and Uniform Circular Motion Equate energy at maximum __________ to energy at _________ position Substitute into expression for period