1. Simple Harmonic Motion
Oscillatory Motion

2. Period and Frequency Period: Time needed to complete one cycle
Frequency: Number of cycles per second

3. Two Types
Mass and Spring
Pendulum

4. Circular Motion vs. SHM

6. ω?

8. SHM Equations

9. Graphs

10. Energy and SHM
Kinetic Energy of Mass and Spring

11. Potential Energy of Mass and Spring

13. Maximum Speed
When v is at a maximum

14. Equations

15. Mass and Spring v = Aω v = 0 v = 0 K = ½ kA2 K = 0 K = 0 Us = 0
Us = ½ kA2
v = 0
K = 0
Us = ½ kA2

16. Pendulum q L
Lcosθ h

17. Restoring Force θ θ

18. h = L – L cosq q
v = 0
K = 0
Ug = mgh
v = 0
K = 0
Ug = mgh
v =
K = mgh
Ug = 0

20. m = 0.2 kg
k = 20 N/m
Block is pulled 12 cm to the right and released. t=0 when it first reaches a maximum positive x.
What is the equation x(t)?
What is the equation v(t)?
What is the equation a(t)?
What is the block’s displacement at 2.4 s?
What is E for the system?
What is the max. speed the block reaches?
What is the block’s speed 2 cm to the right of the equilibrium position?

21. A pendulum has a length of 2. 0 m
A pendulum has a length of 2.0 m. It is displaced 20 degrees from the vertical and released. Determine the following: q h L
What is the period?
What is the frequency?
What is E?
What is the maximum speed of the pendulum bob?