A chain drive (Fig. P8.77) transfers the rotational motion of a tractor transmission to...

A chain drive (Fig. P8.77) transfers the rotational motion of a tractor transmission to a grain elevator. The drive shaft places a counterclockwise torque on the small sprocket of radius 2.2 cm so that it can overcome the resistance in the mechanism of the auger, which puts a clockwise torque of 200 N . m on the larger sprocket of radius 17 cm. If the gears turn at a constant rate, (a) what is the tension in the chain and (b) what is the torque applied to the small sprocket by the drive shaft?