APHY201 1/30/2016 1 11.1 Simple Harmonic Motion ïƒ ïƒ Periodic oscillations...

download APHY201 1/30/2016 1 11.1 Simple Harmonic Motion ïƒ ïƒ Periodic oscillations ïƒ ïƒ Restoring Force: F = -kx ïƒ ïƒ Force and acceleration are not constant ïƒ

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

Transcript of APHY201 1/30/2016 1 11.1 Simple Harmonic Motion ïƒ ïƒ Periodic oscillations...

APHY201 1/30/ Simple Harmonic Motion Periodic oscillations Restoring Force: F = -kx Force and acceleration are not constant Amplitude (A) is maximum displacement Frequency is APHY201 1/30/ Simple Harmonic Motion The system is in equilibrium is when F = mg - kx o APHY201 1/30/ Energy in the Simple Harmonic Oscillator Combination of KE and PE When v = 0 then Since energy is conserved then APHY201 1/30/ Sinusoidal Nature of Simple Harmonic Motion Compare uniform circular motion to the motion on a spring. APHY201 1/30/ Sinusoidal Nature of Simple Harmonic Motion APHY201 1/30/ Sinusoidal Nature of Simple Harmonic Motion APHY201 1/30/ The Simple Pendulum The restoring force is due to gravity If the angles are small then APHY201 1/30/ Damped Harmonic Motion Tuned Mass Damper Tuned Mass Damper Seismic Spring Dampers Seismic Spring Dampers APHY201 1/30/ 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 = m