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Homework Statement
I came across the question above  and one of my peers told me that the equation E = 100(1coskt) + a in the question is actually inaccurate in that it does not represent the motion of the pirate ship ride properly, because the equation isn't simple harmonic  the negative example to prove this was that when t = 3, kt = π radians (since k = π/3). I'm not very strong in this topic so I was unable to debate too much with him, so I wanted to get some insights from the experts here.
Homework Equations
He claims that the equation to represent the GPE of the pirate ship should be E = 100[1cos (θ_{m} sin ωt)] + 30, so that the value of θ varies from 0 to 2. This would make the equation simple harmonic.
The Attempt at a Solution
I drew the graph above, and I still don't really see any problem with the GPE equation, actually. Could someone please enlighten me on this one?
Thank you so much in advance for any help!
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