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    Calculus Based Dynamics Problem

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    An object travels with a constant speed "v" in the x-y plane over a feature that is described by the equation {see attachment}.
    Given that the instantaneous radius of curvature for any plane curve is: {see attachment}, find the minimum value of "v" that makes the object "weightless" at the apex.
    Take "g" to equal 9.81 m/s[squared]
    Neglect object size.

    *Please see attachment for functions and diagram.

    © BrainMass Inc. brainmass.com October 9, 2019, 4:17 pm ad1c9bdddf
    https://brainmass.com/engineering/mechanical-engineering/calculus-based-dynamics-problem-27776

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    Solution Summary

    The solution finds the minimum value of "v" that makes the object "weightless" at the apex.

    $2.19