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    Period of small oscillation of sphere rolling in cylinder

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    A solid sphere is rolling without slipping on a vertical circular ramp with radius R. The sphere has radius r and mass m with a moment of inertia I = (2/5)m r^2. Find the period of a small amplitude oscillation.

    (See attached file for full problem description with diagram and equations)

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    https://brainmass.com/physics/rotation/period-small-oscillation-sphere-rolling-cylinder-59623

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    A solid sphere is rolling without slipping on a vertical circular ramp with radius R. The sphere has radius r and mass m with a moment of inertia I = (2/5)mr^2. Find the period of a small amplitude oscillation.
    hints:
    force method- relate alpha with tangential acceleration and then relate them to the second derivative of theta with respect to time (alpha does not equal the ...

    Solution Summary

    A sphere rolls without slipping on a cylindrical ramp. Period of small oscillations calculated.

    $2.19