I have a problem I'm trying to solve:(adsbygoogle = window.adsbygoogle || []).push({});

A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if the mass is initially released from a point 1 foot above the equilibrium position with an upward velocity of 2ft/s. How many complete cycles will the mass have completed at the end of 4[tex]\pi[/tex] seconds?

I understand that F=kx so I can say 32=k(2) therefore k=16. And a period can be found by T= 2[tex]\pi[/tex]/[tex]\omega[/tex] where [tex]\omega[/tex]=[tex]\sqrt{k/m}[/tex]. So in this case [tex]\omega[/tex]=4 and so the period, T, equals [tex]\pi[/tex]/2. What I can't figure out though is how to find the amplitude of motion. Any ideas? Thanks for the help.

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# Finding aplitude of free undamped motion

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