Consider a gear reducer Let the diameter of the gear on the input shaft be equal to d = 2.0 in and width w = 0.5 in. Assume that the gear is made of steel and that it is a solid frame without any holes. The ouput gear has the same width and material, and the gear reduction from input to output is N = 5, (d = 10.0 in). The length and diameters of the shafts that extend to the sides of the gears are ds = 1.0 in, d2 = 1.0 in and I = 1.0in, 12 = 1.0 in. Let us consider that there is a net load torque of T2 = 50 lb in at the output shaft? 1. Determine the net rotary inertia reflected on the input shaft due to two gears and two shafts. 2. Determine the necessary torque at the input shaft to balance the load torque. 3. If the input shaft is actuated by a motor that is controlled with 1/10 degree accuracy, what is the angular positioning accuracy that can be provided at the output shaft.