A solid disc, initially at rest has a constant force applied on it, and it moves by rolling (pure roll) on a plank of the same mass (this plank can move as well - its on a frictionless surface).
My question is, is the acceleration of the point of contact b/w the plank and disc zero (like how velocity of point of contact was zero in normal pure roll)? How would I relate the accelerations of the two bodies?
Edit : I already know that net force on the disc is F - friction, and that net force on plank is only due to friction. Also, I understand, that torque produced is only due to friction. My main trouble is in relating acceleration of the disc and the plank. I see that the disc is in a non-inertial frame of reference, does this change anything? Like when using $Torque= I*α$ how do I relate $α$ to a1 and a2 - accelerations of plank and disc.