(5 points) The pivot of a simple pendulum is attached to a disc of radius R, which rotates in
the plane of the pendulum with angular velocity omega . Write down the Lagrangian and derive
the equations of motion for the dynamical variable heta .
2. (5 points) The pivot of a simple pendulum is attached to a disc of radius R, which rotates in the plane of the pendulum with angular velocity w. Write down the Lagrangian and derive the equations of motion for the dynamical variable 0.