1. Simple Harmonic Motion
A restoring force always points toward the equilibrium position.
Pendulum
Mass on a spring
SHM: restoring force is proportional to displacement

2. For a spring: F=-kx PE= k= spring constant
amplitude: max displacement from equilibrium
period: time for one cycle
frequency: cycles per unit of time

3. Mass on spring:
pendulum:

4. A spring with constant 245N/m has a mass of 0
A spring with constant 245N/m has a mass of 0.676kg attached to it and is sliding on a frictionless table. If its furthest distance from equilibrium is 12.0cm, what is its maximum speed?
A=.120m, k=245N/m,m=0.676kg,vmax=?
PEmax=.5(245)(.122) = E
E = KEmax = .5mv2

5. Angular frequency: