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April 27, 2026, 10:39:36 pm
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Author Topic: Simple Harmonic Motion  (Read 1704 times)  Share 

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stanleypeng

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Simple Harmonic Motion
« on: January 29, 2018, 04:37:05 pm »
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I have a question regarding low tide and high tide simple harmonic motion questions. I've learnt at school that the equation of motion is y=b+acos(nt) were y is the height of the wave, b the equilibrium, a the amplitude and t the time. I was wondering how you derive this equation, as in where it comes from. Thanks! I think it has something to do with auxiliary but I can't remember.
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RuiAce

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Re: Simple Harmonic Motion
« Reply #1 on: January 29, 2018, 04:44:31 pm »
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It could actually be \( y = b + a\cos (nt + \alpha) \) so I have no idea what you're getting at here. The auxiliary angle method doesn't seem to clarify anything.

Although, if you intentionally got rid of the \(\alpha\), then it means your wave starts at high tide.
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stanleypeng

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Re: Simple Harmonic Motion
« Reply #2 on: January 29, 2018, 05:00:16 pm »
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Yeah, I assumed the wave started at high tide, I think that was the original formula, thanks!
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RuiAce

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Re: Simple Harmonic Motion
« Reply #3 on: January 29, 2018, 05:11:10 pm »
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