A pinion delivers 25 hp to a spur gear through an idler as shown in the figure. The pinion, the gear, and the idler have 15, 25 and 45 teeth, respectively with a 25 pressure angle and a diametral pitch of 10. a. (6 pts) With the pinion rotating counter-clockwise, draw a figure of the forces exerted by the pinion and the spur gear onto the idler. Idler Pinion b. (12 pts) If the pinion rotates counter-clockwise at 2000 rpm, determine the magnitude of the force exerted by the gear onto shaft C. Gear