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    Word Problem Help!

    Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t=0.

    amplitude= 35 cm
    period = 8 seconds
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    Quote Originally Posted by aligator0207 View Post
    Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t=0.

    amplitude= 35 cm
    period = 8 seconds
    The function can be written as
    x = A*cos(ωt), where A = 35 cm and ω = 2π/8
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  3. #3
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    Quote Originally Posted by aligator0207 View Post
    Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t=0.

    amplitude= 35 cm
    period = 8 seconds
    Since we know it's a maximum at t=0 we need to use the cosine because \cos(0) = 1

    Use the equation f(t) = A\cos(\omega t).

    \omega = \frac{2\pi}{T} = 2\pi f where the symbols have their usual meaning
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