A 52-lb child and a 120-lb adult are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 27 in., b = 53 in., and c = 28 in.

A torque of TC = 780 N·m is applied to the aluminum [G = 70 GPa] shaft. Segment (1) has a diameter of 77 mm, and segment (2) has a diameter of 39 mm. Determine the angle of twist at C. Let L1 = 0.67 m and L2 = 0.33 m.

Gear A has a diameter of 1.87 in., and gear B has a diameter of 2.77 in. If the pointer needs to be rotated 62° CW, how much should the motor be rotated?

A torque of TC = 870 N·m is applied to the aluminum [G = 71 GPa] shaft. Segment (1) has a diameter of 78 mm, and segment (2) has a diameter of 40 mm. Determine the angle of twist at C. Let L1 = 0.60 m and L2 = 0.33 m.

A load of P = 8 N is applied to a hex wrench that has lengths a = 16 mm and b = 63 mm. Determine the torque applied to the set screw.

Loads P = 74 N, Q = 74 N, and R = 31 N are applied to the structure. Determine the torque generated in segment (2). Let a = 105 mm, b = 70 mm, and c = 54 mm.

Gear A has a diameter of 1.34 in., and gear B has a diameter of 2.01 in. If the pointer needs to be rotated 130° CW, how much should the motor be rotated?

A torque of T = 155 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 20 ksi.

A 70-lb child and a 137-lb adult are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 25 in., b = 42 in., and c = 25 in.

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.