the damped oscillator equation:(adsbygoogle = window.adsbygoogle || []).push({});

(m)y''(t) + (v)y'(t) +(k)y(t)=0

Show that the energy of the system given by

E=(1/2)mx'² + (1/2)kx²

satisfies:

dE/dt = -mvx'

i have gone through this several time simply differentiating the expression for E wrt and i end up with

dE/dt = x'(-vx')

im at a brick wall. Am i doing something wrong? Any help is much appreciated! Thanks

**Physics Forums - The Fusion of Science and Community**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Damped Oscillator Equation

Loading...

Similar Threads - Damped Oscillator Equation | Date |
---|---|

A Damped Thermal Oscillations | Oct 24, 2017 |

Coupled driven and damped oscillators | Mar 30, 2014 |

Second order differential equation.(Damped oscillation) | Jun 11, 2013 |

Period doubling for a damped, driven, harmonic oscillator | Dec 1, 2011 |

Damped Harmonic Oscillator Equation: Sum of any 2 solutions equals another solution? | Sep 29, 2011 |

**Physics Forums - The Fusion of Science and Community**