The figure below is a spur gear train drive and gear 2 is the inlet of the gear train. It transfers 12 kW of power at 1200 rpm. Gear 3 and 4 have 60 and 20 teeth respectively and are made with 20° pressure and full-depth teeth. The desired speed for the output shaft is 32 rpm. Find the minimum number of teeth on gear 2 to obtain 32 rpm at the output and confirm its validation for interference-free power transfer. Find the speed ratio at each gear set using the results obtained at "a" (above). Determine the rotational speed of each gear (n2, n3, n4, and ns) using the results obtained at "a1" (above). Find the torque of each shaft (Tin, Tc, and Tou) assuming that there is no frictional loss during the power transfer. Determine the radial, tangential, and total forces transmitted at the last gear set assuming a module of 4 mm and draw the free body diagram of gear 4 showing the forces and torques.