Simple Harmonic Motion (SHM)

TEXT

4.1.1 What are oscillations? repetitive, periodic motion where the body moves back and forth around an equilibrium point

4.1.2 Define displacement, amplitude, frequency, period, and phase difference

4.1.3 Simple Harmonic Motion. When a particle that is disturbed away from its fixed equilibrium position experiences an acceleration that is proportional and opposite to its displacement.

4.1.5 When SHM exists

x = Acos(wt + phi)

v = -wAsin(wt + phi)

a = -w2Acos(wt + phi)

T(period) = 2pi/w ... T = 1/f

w = angular frequency = 2(pi)f

A = amplitude

phi = phase angle (shift) [most always phi = 0 for the scope of this course]

PG 209: 8, 9, 10, 12-14.