1. APHY201 1/30/2016 1 11.1 Simple Harmonic Motion   Periodic oscillations   Restoring Force: F = -kx   Force and acceleration are not constant   Amplitude (A) is maximum displacement   Frequency is

2. APHY201 1/30/2016 2 11.1 Simple Harmonic Motion   The system is in equilibrium is when ΣF = mg - kx o

3. APHY201 1/30/2016 3 11.2 Energy in the Simple Harmonic Oscillator   Combination of KE and PE   When v = 0 then   Since energy is conserved then

4. APHY201 1/30/2016 4 11.3 Sinusoidal Nature of Simple Harmonic Motion   Compare uniform circular motion to the motion on a spring.

5. APHY201 1/30/2016 5 11.3 Sinusoidal Nature of Simple Harmonic Motion

6. APHY201 1/30/2016 6 11.3 Sinusoidal Nature of Simple Harmonic Motion

7. APHY201 1/30/2016 7 11.4 The Simple Pendulum   The restoring force is due to gravity   If the angles are small then

8. APHY201 1/30/2016 8 11.5 Damped Harmonic Motion   Tuned Mass Damper Tuned Mass Damper   Seismic Spring Dampers Seismic Spring Dampers

9. APHY201 1/30/2016 9 In class: Problems 3, 14 Other problems ↓ 4. (a) (b) The amplitude is the distance pulled down from equilibrium The frequency of oscillation is found from the total mass and the spring constant. A = 0.025 m