The Question : A cylinder of mass M , and moment of inertia around its center Io, is initially rotating around its central axis with angular velocity wo. İt is gently placed on a homogeneous thin plate of mass m which rests on a smooth horizontal surface. Assume that the plate is sufficiently long that eventually the cylinder starts rolling on the plate without slipping due to the kinetic friction. What is the final velocity of the plate? I could not write much for the solution since i am stucked in energy conservation. 1/2 Io wo2 = 1/2 mv2 + 1/2 M Vcm2 torque : 2/5 MR2 = RF(friction) does anyone has the answer or have any ideas in which way should i go with this problem?