2. A cam lobe in the figure below has a shape given by r = 20 + 15 cos 0 mm. Pin P slides in a slot along arm AB and is held against the cam by a spring. Arm AB rotates counterclockwise about A at a constant rate of 30 rev/min. Solve the following problems when 0 = 40. (a) The velocity and acceleration of Pin P in the Polar coordinates. (b) The velocity of Pin P in the Path coordinates. (c) The tangential component of the acceleration of Pin P using an acceleration vector diagram. Note that the tangential direction is coincident with the direction of the velocity. (d) The normal component of the acceleration of Pin P using the acceleration vector diagram. (e) Redo parts (c) and (d) using a coordinate transformation. A P B