Question: ( 2 0 pts ) For the system shown below, find the governing ODE using Euler Lagrange equations. Assume x , the displacement of the

(20 pts ) For the system shown below, find the governing ODE using Euler Lagrange equations. Assume x, the displacement of the center of mass, to be the generalized coordinate. The stepped cylinder rolls without slipping. Fi is the external force. Assume mass of the stepped cylinder to be m and the momemt of inertia about the center of mass to be J.
( 2 0 pts ) For the system shown below, find the

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