Simple Harmonic Motion Oscillatory Motion

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

Two Types Mass and Spring Pendulum

Circular Motion vs. SHM

ω?

SHM Equations

Graphs

Energy and SHM Kinetic Energy of Mass and Spring

Potential Energy of Mass and Spring

Maximum Speed When v is at a maximum

Equations

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

Pendulum q L Lcosθ h

Restoring Force θ θ

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

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?

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?