Obtain an expression for the period of the resulting motion

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A small solid ball of mass M and radius R rolls without slipping on the track whose height y as a function of horizontal position x is given by y=ax^2 where a is a constant with the units of inverse length. The mass is given an initial displacement from the bottom of the track and then released. Find an expression for the period of the resulting motion. Express your answer in terms of a, g, M, and R.

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Reference no: EM13551795

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