# Equation for simple harmonic motion

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

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I never saw any equation for SHM that starts like that. The ones I know are:
$$x(t) = A\cos (\omega t + \phi)$$
$$v(t) = -A\omega \sin (\omega t + \phi)$$
$$a(t) = -A\omega ^2 \cos (\omega t + \phi)$$

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.

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.

Integral
Staff Emeritus