A steel socket extension (2) has a diameter of 0.48 in. and a length of L = 1.8 in. It connects socket (3) to ratchet handle (1) which is 6.8 in. long. If a perpendicular force of 19 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A steel socket extension (2) has a diameter of 0.32 in. and a length of L = 2.0 in. It connects socket (3) to ratchet handle (1) which is 5.3 in. long. If a perpendicular force of 5.0 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.

A dump truck axle with a diameter of 1.621 in. and a length of 38.0 in. failed when the shear stress reached 80 ksi on the outer surface. The shear modulus of the steel is G = 11,300 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

A torque of 22 lb·in. is applied to one end of a 6-in.-long composite shaft that consists of two polymer tubes. The outer tube has a polar moment of inertia of 0.0355 in.4 and a shear modulus of 180 ksi. The inner tube has a polar moment of inertia of 0.00701 in.4 and a shear modulus of 165 ksi. Determine the magnitude of the torque produced in the inner tube.

A steel 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 8.6 in. long. If a perpendicular force of 24.0 lb is applied to the end of the ratchet handle, determine the maximum shear stress in the socket extension.

A steel 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.

The nearest star beyond the Sun is Alpha Centauri, which is 4.2 × 1016 m away. How long it takes to receive a radio message from this star today? Speed of light is 300,000,000 m/s?

A solid constant-diameter shaft is subjected to the torques shown. Determine the absolute value of the internal torque in segment (3) of the shaft. Assume that TA = 16.0 N·m, TB = 40.1 N·m, TC = 14.2 N·m, TD = 50.0 N·m, and TE = 59.9 N·m.

A dump truck axle with a diameter of 1.620 in. and a length of 37.8 in. failed when the shear stress reached 79 ksi on the outer surface. The shear modulus of the steel is G = 11,300 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

A steel socket extension (2) has a diameter of 0.31 in. and a length of L = 2.3 in. It connects socket (3) to ratchet handle (1) which is 4.6 in. long. If a perpendicular force of 5.0 lb is applied to the end of the ratchet handle, determine the socket extension’s angle of twist.