A cam with \(30 \mathrm{~mm}\) as minimum diameter is rotating clockwise at a uniform speed of \(1200 \mathrm{rpm}\) and operates a roller follower of \(10 \mathrm{~mm}\) diameter as given below:

(i) Outward stroke of \(30 \mathrm{~mm}\) during \(120^{\circ}\) of can rotation with equal uniform acceleration and retardation.

(ii) Follower is to dwell for \(50^{\circ}\) of cam rotation.

(iii) Inward stroke during \(90^{\circ}\) of cam rotation with equal uniform acceleration and retardation.

(iv) Follower is to dwell for the remaining period of cam rotation.

Draw the cam profile if the axis of follower passes through the axis of the cam. Determine the maximum velocity and acceleration during outward and inward strokes.