The following data refers to a tangent cam operating a radial roller follower: Minimum radius of cam \(=45 \mathrm{~mm}\), Lift \(=15 \mathrm{~mm}\), Nose radius \(=18 \mathrm{~mm}\), Radius of roller \(=20 \mathrm{~mm}\), Semi-angle of cam action \(=70^{\circ}\), Angular velocity of cam \(=10 \mathrm{rad} / \mathrm{s}\). Draw the displacement, velocity and acceleration diagrams for one rotation of cam.