15.1 Motion of an Object Attached to a Spring 15.1 Hooke’s law 15.2

15.2 The Particle in Simple Harmonic Motion Position versus time for an x(t) = A cos (  t +  object in simple harmonic motion 15.7

15.2 The Particle in Simple Harmonic Motion, cont Period

15.2 The Particle in Simple Harmonic Motion, cont Frequency Velocity of an object in simple harmonic motion Acceleration of an object in simple harmonic motion Maximum magnitudes of velocity and acceleration in simple harmonic motion 15.18

15.3 Energy of the Simple Harmonic Oscillator Kinetic energy of a simple K = ½ mv 2 = ½ m  2 A 2 sin 2 (  t +  ) harmonic oscillator Potential energy of a U = ½ kx 2 = ½ kA 2 cos 2 (  t +  ) simple harmonic oscillator Total energy of a simple E = ½ kA 2 harmonic oscillator Velocity as a function of position for a simple harmonic oscillator

15.4 Comparing Simple Harmonic Motion with Uniform Circular Motion x(t) = A cos (  t +  )

15.5 The Pendulum Period of a simple pendulum Period of a physical pendulum

15.5 The Pendulum, cont Period of a torsional pendulum

15.6 Damped Oscillations

15.7 Forced Oscillations Amplitude of a driven oscillator