A solid cylinder of mass \(m\) and radius \(r\) is released from rest at the top of a rough inclined plane making an ang…

A solid cylinder of mass \(m\) and radius \(r\) is released from rest at the top of a rough inclined plane making an angle of \(45^{\circ}\) with the horizontal. Assuming the cylinder rolls without slipping, find the acceleration of the axis of the cylinder.

(Shift I - Memory Based)