A 20-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as concentrated load P = 20 lb. Let a = 45 in.

Gear A has 65 teeth, and gear B has 60 teeth. If a torque of 34 lb·in. and a speed of 1,200 rpm is required at C, determine the minimum power that the motor must provide.

Gear A has a diameter of 1.91 in., and gear B has a diameter of 2.84 in. If the pointer needs to be rotated 163° CW, how much should the motor be rotated?

A load of P = 89 N is applied a = 110 mm from the center of a 9 mm bolt. Determine the torque applied to the bolt.

A load of P = 13 N is applied to a hex wrench that has lengths a = 35 mm and b = 137 mm. Determine the torque applied to the set screw.

A 15-lb cardboard box sits on an oak beam. Determine the maximum bending moment in the beam if the weight is modeled as distributed load w = 0.5357 lb/in. Let a = 40 in. and b = 28 in.

A 66-lb child and a 37-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 20 in., b = 34 in., and c = 44 in.

A torque of TC = 760 N·m is applied to the aluminum shaft. Segment (1) has a diameter of 76 mm, and segment (2) has a diameter of 38 mm. Determine the angle of twist at C. Let L1 = 0.69 m and L2 = 0.39 m.

Gear B has 12 teeth, and gear C has 18 teeth. If a torque of 18 lb·in. and a speed of 1,790 rpm is required at A, determine the minimum power that the motor must provide.

A torque of T = 130 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 21 ksi.