Draw the profile of a cam operating a knife-edge follower when the axis of the follower passes through the axis of the cam shaft. The following data is given: Lift \(=40 \mathrm{~mm}\), angle of ascent \(=60^{\circ}\), dwell \(=45^{\circ}\), angle of descent \(=90^{\circ}\) and dwell for the remaining period of cam rotation.

The motion of the cam is simple harmonic during both ascent and descent. The least radius of cam is \(50 \mathrm{~mm}\). If the cam rotates at \(300 \mathrm{rpm}\), determine the maximum velocity and acceleration of the follower during ascent and descent.