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    Heeeeeeelpppp!!!! !

    Could a sine or cosine functions describe the motion of a ferris wheel, if the center of the wheel moved up and down during the period?

    HELPPPPPPPPP!!!! PLEZ AND THANK U
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    Quote Originally Posted by rocklee1211 View Post
    Could a sine or cosine functions describe the motion of a ferris wheel, if the center of the wheel moved up and down during the period?

    HELPPPPPPPPP!!!! PLEZ AND THANK U
    Do you mean could a sine or cosine function describe the motion of a point on a ferris wheel if the center of the wheel moved up and down sinusoidally during the period?

    As stated the answer simply cannot be determined. The answer to the one that I am guessing you meant is: not in general.

    The height h of a point from the ground on a ferris wheel of radius R and angular speed \omega and center height H can be modeled by
    h(t) = H + R~sin(\omega t + \phi)

    If the height of the center H is now varied sinusoidally, then
    h(t) = A~sin(\omega ' t + \phi ') + R~sin(\omega t + \phi)
    which is the sum of two sinusoidal functions. The only way that this is going to be a sinusoidal function is under the following conditions:
    A = R, \omega ' = \omega, \phi ' = \phi (oscillations are perfectly in phase)
    or
    A = R, \omega ' = \omega, \phi ' = 2 \pi - \phi (oscillations are perfectly out of phase.)

    -Dan
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