Equation for simple harmonic motion

  • Thread starter dom
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  • #1
dom
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i was just wondering if anybody knew where i could find the equation for simple harmonic motion (SHM). I have found loads but not the right one. i need the one that starts... y=e(^-3wnt)*Asin(wdt)+(Asin(wt)/SQRT(l-(w^2/wn^2)^2+... anyone got any ideas? got assignment to hand into uni tomorrow and i need it bad :biggrin:
 

Answers and Replies

  • #2
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:confused: I never saw any equation for SHM that starts like that. The ones I know are:
[tex]x(t) = A\cos (\omega t + \phi)[/tex]
[tex]v(t) = -A\omega \sin (\omega t + \phi)[/tex]
[tex]a(t) = -A\omega ^2 \cos (\omega t + \phi)[/tex]
 
  • #3
Integral
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I looks to me like you have a specific solution to a specific problem. It appears to be a case of damped ossiliations, but in no way is it an equation that you will find on the web. If you could post the specifics of the problem it is a solution to we may be able to help you. We need the original DE and the initial conditions.
 
  • #4
dom
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its an equasion for the vibration of a ball on a spring, i am comparing my excel model to the one i made on a program called working drawing.
 
  • #5
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The equation you posted is the solution to a Differential Equation with initial values. Without this information, I do not see how we can reproduce the solution. What are the initial conditions, what is the damping function. (your solution is damped) Is there a driving function? Without these details we cannot reproduce the solution.
 
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