Masses m and 2m are joined by a light inextensible string which runs without slipping over a uniform circular pulley of mass 2m and radius a. Using the angular position of the pulley as generalized co-ordinate, write down the Lagrangian function, and Lagrange's equation. Find the acceleration of the masses.

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Masses m and 2m are joined by a light inextensible string which runs
without slipping over a uniform circular pulley of mass 2m and radius
a. Using the angular position of the pulley as generalized co-ordinate,
write down the Lagrangian function, and Lagrange's equation. Find
the acceleration of the masses.
Transcribed Image Text:Masses m and 2m are joined by a light inextensible string which runs without slipping over a uniform circular pulley of mass 2m and radius a. Using the angular position of the pulley as generalized co-ordinate, write down the Lagrangian function, and Lagrange's equation. Find the acceleration of the masses.
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