A disk of mass m and radius r rolls back and forth on


A disk of mass M and radius R rolls back and forth on avertical track of radius a.

(a) Write the Langrangian for the system.

(b) Obtain the equation of motion.

(c) Determine the period with which the disk rolls back andforth. You may assume the amplitude of the oscillations is small.

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Physics: A disk of mass m and radius r rolls back and forth on
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