Draw the profile of a cam to give reciprocating motion to a flat-faced follower for the following data:

Lift \(=25 \mathrm{~mm}\), Ascent \(=120^{\circ}\), Dwell \(=30^{\circ}\), Descent \(=120^{\circ}\), Dwell \(=90^{\circ}\)

Minimum radius of cam \(=25 \mathrm{~mm}\)

The ascent and descent is to take place with SHM. The line of movement of follower passes through the cam centre.