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A thumbtack rolls down an inclined plane without slipping, the motion is similar to a pendulum...

A thumbtack rolls down an inclined plane without slipping, the motion is similar to a pendulum when looking from above. The thumbtack is a disk of mass M and radius R with a massless stem of length L from the center of the disk. The inclined plane has an angle of theta.

Write down the Lagrangian for this system and find the angular frequency of oscillation away from the equilibrium position of the thumbtack.

Science   Advanced-Physics   
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