What Are the Two Possible Values of C in a Damped Harmonic Oscillator Equation?

Thread starter clipperdude21
Start date Jan 22, 2008
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Damped Damped harmonic oscillator Harmonic Harmonic oscillator Oscillator

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The equation of motion for a damped harmonic oscillator is given by Ma(t) + rv(t) + Kx(t) = 0. To find the two possible values of C, a solution of the form x(t) proportional to exp(-Ct) is proposed. The relationship between x(t), v(t), and a(t) is essential for solving the equation, as v(t) is the first derivative of x(t), and a(t) is the second derivative. Understanding these relationships will help in deriving the values of C. The discussion emphasizes the need for assistance in solving this equation.

Jan 22, 2008

clipperdude21

1. The equation of motion is Ma(t) +rv(t) + Kx(t)=0
a) Look for a solution of this equation with x(t) proportional exp(-Ct) and find two possible values of C.

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3. No clue... Please help if you can!

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Jan 23, 2008

Kurdt

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How are x(t), v(t) and a(t) related?

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