Show the energy consideration of harmonic oscillator at any time t and show that the energy decreases exponentially at a faster rate , E(t)= E0e-2βt where E0= 1/2KA2
Answer
harmonic oscillator differential equation is given by
Solution of above euation can be calculated by differential equation
Which is found
Differentiate with respect to t
the energy consideration of harmonic oscillator at any time t is given by
Putting value of velocity
Where
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