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Why study Simple
Harmonic Oscillators?
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Atomic Vibrations
Particle disturbed from stable equilibrium
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Stable Equilibrium
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
The Potential near Equilibrium
SHO
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
SHO around equilibrium
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Simple Pendulum
SHO
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Solution
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
LC Oscillator
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Damped Oscillator
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Damped Oscillator
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Equation for Damped Osc.
Trial Solution
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Roots
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Underdamped
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Underdamped Oscillations
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
An Example
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/
Logarithmic Decrement
 Somnath Bharadwaj and Pratik Khastgir, Department of Physics and Meteorology, IIT Kharagpur, 721 302 India
http://www.cts.iitkgp.ernet.in/~phy1/