A gear train is composed of four gears, where gears A and B are on the same shaft. Gear A has 60 teeth, gear B has 36 teeth, gear C has 48 teeth, and gear D has 12 teeth. If a torque of 0.649 N·m is applied to gear D, determine the torque at gear A.

A torque of 22 lb·in. is applied to one end of a 5-in.-long composite shaft that consists of two polymer tubes. The outer tube has a polar moment of inertia of 0.046 in.4 and a shear modulus of 180 ksi. The inner tube has a polar moment of inertia of 0.00687 in.4 and a shear modulus of 175 ksi. Determine the magnitude of the torque produced in the inner tube.

A steel [E = 30,200 ksi, G = 11,600 ksi] socket extension (2) has a diameter of 0.62 in. and a length of L = 1.3 in. It connects socket (3) to ratchet handle (1) which is 8.9 in. long. If a perpendicular force of 23.0 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A torque of 27 lb·in. is applied to one end of a 7-in.-long composite shaft that consists of two polymer tubes. The outer tube has a polar moment of inertia of 0.0268 in.4 and a shear modulus of 185 ksi. The inner tube has a polar moment of inertia of 0.00776 in.4 and a shear modulus of 160 ksi. Determine the magnitude of the torque produced in the outer tube.

The solid circular steel shaft of a screwdriver is subjected to a pure torque of T = 20 lb·in. The shaft has a diameter of 0.244 in. and a length of L = 4.00 in. The shear modulus of the steel is G = 11,400 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

A gear train is composed of four gears, where gears A and B are on the same shaft. Gear A has 60 teeth, gear B has 36 teeth, gear C has 48 teeth, and gear D has 12 teeth. If a torque of 1.033 N·m is applied to gear D, determine the torque at gear A.

A dump truck axle with a diameter of 1.638 in. and a length of 37.9 in. failed when the shear stress reached 78 ksi on the outer surface. The shear modulus of the steel is G = 12,000 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

A load of P = 4 N is applied to a hex wrench that has lengths a = 42 mm and b = 136 mm. Determine the torque applied to the set screw.

The same torque is applied to three socket extensions. They have the same length and modulus of rigidity but different diameters. Which one will have the smallest polar moment of inertia?

A gear train is composed of four gears, where gears A and B are on the same shaft. Gear A has 60 teeth, gear B has 36 teeth, gear C has 48 teeth, and gear D has 12 teeth. If a torque of 0.917 N·m is applied to gear D, determine the torque at gear A.