1. Simple Harmonic Motion

2. Simple Harmonic Motion (SHM)
SHM: is periodic motion about an equilibrium point where the restoring force is proportional to the distance from equilibrium
Periodic motion: Repeated motion
Equilibrium position: Position where object will come to rest. Fnet = 0

3. Amplitude Amplitude: maximum displacement from equilibrium
Relates to the amount of energy
Unit: meters

4. Simple Harmonic Motion
ex: pendulum (at small angles) and mass on a spring

5. At equilibrium
Velocity is at a maximum
Net force is zero
At maximum amplitude
Velocity is zero
Net force is at a maximum
When would the acceleration be zero? When would it be a maximum?

6. Why will the mass eventually stop?
Friction

7. What can you tell me about the:
Force at B?
Velocity at B?
Acceleration at A?
Speed at C?

8. 2 Truths and a Lie
With a partner
Write down 2 truths and 1 lie about the velocity of an object in simple harmonic motion.
Write down 2 truths and 1 lie about the force of an object in simple harmonic motion.
You must use the words equilibrium and maximum amplitude in your statements.

9. Period & Frequency Period (T): time it takes to complete one cycle
Unit: seconds
Frequency (f): number of cycles or vibrations per unit of time
Unit: 1/sec = Hertz (Hz)

10. Practice Problem
An angry bird flaps its wings every 1.2 seconds. What is the period and frequency of the wings’ motion?

11. SHM and Waves
Simple Harmonic Motion- Pendulum Waves