Periodic motion Frequency Period

Periodic motion – Any motion that repeats itself.

Simple harmonic motion

Figure 13-1 A Mass Attached to a Spring Undergoes Simple Harmonic Motion About x = 0

Sine and cosine curves

Figure 13-2 Displaying Position Versus Time for Simple Harmonic Motion

Figure 13-3 Simple Harmonic Motion as a Sine or a Cosine

Connection to uniform circular motion

Figure 13-4 The Relationship Between Uniform Circular Motion and Simple Harmonic Motion

Equations that apply to circular motion also apply to simple harmonic motion.

Angular frequency

Position

Velocity,

Acceleration

Period of a mass on a spring

Period of a pendulum

Energy conservation

Figure Energy as a Function of Position in Simple Harmonic Motion

Energy conservation for a mass on a spring

Total energy of a mass on a spring.

Total energy of a pendulum