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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 0.859 N·m is applied to gear D, determine the torque at gear A.

A dump truck axle with a diameter of 1.614 in. and a length of 37.1 in. failed when the shear stress reached 74 ksi on the outer surface. The shear modulus of the steel is G = 11,500 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

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 0.237 in. and a length of L = 3.50 in. The shear modulus of the steel is G = 11,600 ksi. Determine the magnitude of the angle of twist of the shaft in degrees.

A steel [E = 30,500 ksi, G = 11,700 ksi] socket extension (2) has a diameter of 0.50 in. and a length of L = 1.8 in. It connects socket (3) to ratchet handle (1) which is 6.7 in. long. If a perpendicular force of 15 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A load of P = 10 N is applied to a hex wrench that has lengths a = 21 mm and b = 64 mm. Determine the torque applied to the set screw.

A steel [E = 30,100 ksi, G = 11,900 ksi] socket extension (2) has a diameter of 0.47 in. and a length of L = 1.5 in. It connects socket (3) to ratchet handle (1) which is 7.1 in. long. If a perpendicular force of 18 lb is applied to the end of the ratchet handle, determine the maximum shear stress in the socket extension.

A steel [E = 30,300 ksi, G = 11,800 ksi] socket extension (2) has a diameter of 0.49 in. and a length of L = 1.8 in. It connects socket (3) to ratchet handle (1) which is 7.3 in. long. If a perpendicular force of 14 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

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 2.05 N·m is applied to gear A, determine the torque at gear D.

A dump truck axle with a diameter of 1.74 in. and a length of 37 in. failed while transmitting a power of 520 hp and a torque of 7,670 lb-ft. At what speed was the axle spinning when it broke?

A baby-swing motor provides 0.31 W at 5,700 rpm to a shaft that has a diameter of 2.12 mm and a length of 14.0 mm. Determine the maximum shear stress in the shaft.