(9 marks)The two 36 in.-long solid steel (G=11x10' ksi) shafts AD and BE are connected bythe gears at A and B as shown below. Assume that ends at D and E are fixed. The shafts are free torotate at C and F. The diameters of shafts AD and BE are both 1 in. The radii of gears at A and B are2.5 in. and 1 in., respectively. A torque of 250 lb-ft is applied at B. (a) Draw the free body diagrams of shafts AD and BE. (b) Determine reaction torques at A and B. (c) Determine the angle of twist of the shaft BE at B (show magnitude and sign (+/-) of the angle).