A torque of TC = 680 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 75 mm, and segment (2) has a diameter of 37 mm. Determine the angle of twist at C. Let L1 = 0.67 m and L2 = 0.35 m.

Gear B has 9 teeth, and gear C has 14 teeth. If a torque of 10 lb·in. and a speed of 1,800 rpm is required at A, determine the minimum power that the motor must provide.

A load of P = 24 N is applied a = 250 mm from the center of a 21 mm bolt. Determine the torque applied to the bolt.

A force of P = 30 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 132,000 mm4 and a shear modulus of 1.4 GPa. Core (2) has a polar moment of inertia of 15,700 mm4 and a shear modulus of 1.1 GPa. Determine the torque produced in sleeve (1). Let a = b = 210 mm.

A torque of T = 460 lb·in. is applied to two pulleys and a copper-alloy shaft. Determine the minimum diameter of the shaft if its shear yield strength is 20 ksi.

A 19-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as distributed load w = 0.7917 lb/in. Let a = 34 in. and b = 24 in.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 187 lb·ft, a = 2.2 ft, and b = 8.8 ft. Assume the beam cannot lift off of the supports.

Gear A has a diameter of 1.07 in., and gear B has a diameter of 1.42 in. If the pointer needs to be rotated 39° CW, how much should the motor be rotated?

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 181 lb·ft, a = 3.2 ft, and b = 7.8 ft. Assume the beam cannot lift off of the supports.

A force of P = 25 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 89,000 mm4 and a shear modulus of 0.5 GPa. Core (2) has a polar moment of inertia of 27,500 mm4 and a shear modulus of 1.5 GPa. Determine the torque produced in sleeve (1). Let a = b = 235 mm.