The table in Figure P2 rotates in a horizontal plane about b

The table in Figure P-2 rotates in a horizontal plane about bearing A due to a torque whose time dependence is known. The mass of the table is m1, and its radius of gyration about its center is . The slider, whose mass is m2, moves within groove BC under the restraint of two springs that are unstretched in the position shown. Derive the equations of motion for this system assuming no gravity

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