This question comes from working with rigid rolling disks and wheels. For example, when a rotating disk comes in contact with a non-rotating disk, the non-rotating disk will start to rotate due to friction creating a torque on the body.
So if we just look at two rigid bodies, and forget about air resistance and other forces acting on the system of two bodies, is it in the theoretical case possible to transfer some or all of the kinetic energy of body 1 to body 2 without losing energy, in the form of friction, sound and heat, in the process? Does it make a difference in the result, if the kinetic energy of body 1 is pure rotational energy or translational energy or a combination of both?
To be clear, body 2 should have gained some or all of body 1's kinetic energy while the total kinetic energy of (body 1 + body 2) is the same.