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 January 8th, 2017, 01:15 PM #1 Newbie   Joined: Jan 2017 From: brussels Posts: 28 Thanks: 0 simple harmonic motion I have been given some questions on simple harmonic motion and i have found some relevant formulas i am just unsure as to what they represent and how to use them the question is: An object moving with simple harmonic motion has a frequency of 5Hz with an amplitude of 100mm determine: - Maximum velocity - The velocity 50mm from the equilibrium position - The maximum acceleration - The acceleration 50mm from the equilibrium position - The time taken to move from the extremity of the oscillation to a distance of 50mm from the equilibrium position
 January 8th, 2017, 03:21 PM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,755 Thanks: 1405 Do these resemble your "relevant" equations? assuming the object exhibiting SHM starts at maximum displacement at $t=0$ ... $\omega = 2\pi \cdot f$ position ... $x(t) = A\cos(\omega t) \implies |x_{max}|=A$ velocity ... $v(t) = x'(t) = -A\omega\sin(\omega t) \implies |v_{max}| =A\omega$ acceleration ... $a(t) = v'(t) = x''(t) = -A\omega^2 \cos(\omega t) \implies |a_{max}|=A\omega^2$ see what questions you can work out ... Thanks from Joppy

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