January 8th, 2017, 01:15 PM  #1 
Newbie Joined: Jan 2017 From: brussels Posts: 21 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: 2,624 Thanks: 1305 
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 ... 

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harmonic, motion, simple 
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