A torque of TC = 900 N·m is applied to the aluminum [G = 72 GPa] shaft. Segment (1) has a diameter of 83 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.52 m and L2 = 0.38 m.

Gear B has 10 teeth, and gear C has 17 teeth. If a torque of 19 lb·in. and a speed of 2,050 rpm is required at A, determine the minimum power that the motor must provide.

Gear A has 70 teeth, and gear B has 45 teeth. If a torque of 26 lb·in. and a speed of 620 rpm is required at C, determine the minimum power that the motor must provide.

Gear A has 82 teeth, and gear B has 60 teeth. If a torque of 31 lb·in. and a speed of 1,100 rpm is required at C, determine the minimum power that the motor must provide.

Loads P = 14 N, Q = 90 N, and R = 17 N are applied to the structure. Determine the torque generated in segment (2). Let a = 100 mm, b = 77 mm, and c = 54 mm.

A torque of TC = 920 N·m is applied to the aluminum [G = 70 GPa] shaft. Segment (1) has a diameter of 79 mm, and segment (2) has a diameter of 41 mm. Determine the angle of twist at C. Let L1 = 0.70 m and L2 = 0.36 m.

A load of P = 16 N is applied a = 245 mm from the center of a 20 mm bolt. Determine the torque applied to the bolt.

A 71-lb child and a 30-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 22 in., b = 35 in., and c = 45 in.

A force of P = 22 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 92,800 mm4 and a shear modulus of 1.7 GPa. Core (2) has a polar moment of inertia of 38,300 mm4 and a shear modulus of 1.4 GPa. Determine the torque produced in core (2). Let a = b = 245 mm.

A torque of T = 120 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 22 ksi.