Problem 2: 1.25-in dia. Gear A 20-in dia. F₁ = 300 lbf 16 in 20° A 14 in Gear B 8-in dia. 9 in B X FB 20⁰ a. Determine the force FB. b. Determine the reaction forces in the y and z directions at the bearings. c. Use Matlab to plot separate bending moment diagrams along the z-axis (M) and the y-axis (M₂). d. Determine the location along the shaft where the vector sum of moments is largest. What is the magnitude of the bending moment at that location? e. Construct a torsion diagram along the shaft length. f. What is the value of the maximum shear stress induced by the torsion in the beam?

Fig: 1