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.

A baby-swing motor provides 0.29 W at 5,600 rpm to a shaft that has a diameter of 2.12 mm and a length of 14.5 mm. Determine the maximum shear stress in the shaft.

The solid circular steel shaft of a screwdriver is subjected to torque T. The shaft has a diameter of 0.498 in. and a length of L = 3.75 in. For a factor of safety of 1.9 and a shearing yield strength of 19 ksi, determine the maximum torque T that can be applied to the shaft.

The solid circular steel shaft of a screwdriver is subjected to torque T. The shaft has a diameter of 0.460 in. and a length of L = 3.50 in. For a factor of safety of 1.8 and a shearing yield strength of 18 ksi, determine the maximum torque T that can be applied to the shaft.

The solid circular steel shaft of a screwdriver is subjected to torque T. The shaft has a diameter of 0.495 in. and a length of L = 4.25 in. For a factor of safety of 1.7 and a shearing yield strength of 21 ksi, determine the maximum torque T that can be applied to the shaft.

A dump truck axle with a diameter of 1.682 in. and a length of 38.0 in. failed when the shear stress reached 82 ksi on the outer surface. The shear modulus of the steel is G = 11,900 ksi. Assuming the shaft did not yield prior to failure, determine the angle of twist of the axle when it failed.

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.