USA: +1-585-535-1023

UK: +44-208-133-5697

AUS: +61-280-07-5697

Equation of Motion from Principle of Energy Conservation

Total energy of oscillator is 1/2  m v2 + 1/2 m w2x2 = E = constant.

 

Differentiating both sides with  respect to t, we get

The above expression is differential equation representing SHM.