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1:garyguard (大學)張貼:2004-11-07 07:58:06:

Dear all,

I would like to find out a simple formula or expression for a location of a mass in related to time, during a damped harmonic motion of a pendulum. That means the mass of the pendulum is slightly affected/damped by the air resistance. The motion of the mass deviated from the perfect simple harmonic motion (i.e. alway kinetic energy =  potential energy) and finally the mass rested at the lowest position.

2:黃日凱榮譽點數4點 (大學)張貼:2004-11-07 14:54:16: [回應上一篇]
 Quote: 在 2004-11-07 07:58:06, garyguard 寫了: Dear all, I would like to find out a simple formula or expression for a location of a mass in related to time, during a damped harmonic motion of a pendulum. That means the mass of the pendulum is slightly affected/damped by the air resistance. The motion of the mass deviated from the perfect simple harmonic motion (i.e. alway kinetic energy =  potential energy) and finally the mass rested at the lowest position. Thank you for your help!

How do the air resistance affect the mass of the pendulum?  I guess you mis-typed and the mass is constant.

With small angle, this is a nonhomogeneous linear diffirential equation. Empirically, the retarding force term is proportional to the velocity of your object.

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