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Villagers attacked WL’s house

A load of P = 16 N is applied to a hex wrench that has lengths a = 42 mm and b = 134 mm. Determine the torque applied to the set screw.

A load of P = 62 N is applied a = 220 mm from the center of a 18 mm bolt. Determine the torque applied to the bolt.

A 51-lb child and a 141-lb adult are on an oak beam. Determine the vertical reaction force at the left end of the beam. Let a = 19 in., b = 49 in., and c = 22 in.

A 71-lb child and a 30-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 22 in., b = 35 in., and c = 45 in.

A force of P = 25 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 108,000 mm4 and a shear modulus of 0.7 GPa. Core (2) has a polar moment of inertia of 23,000 mm4 and a shear modulus of 1.8 GPa. Determine the torque produced in core (2). Let a = b = 205 mm.

Gear B has 9 teeth, and gear C has 14 teeth. If a torque of 10 lb·in. and a speed of 1,800 rpm is required at A, determine the minimum power that the motor must provide.

A 22-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 = 22 lb. Let a = 52 in.

Gear A has 70 teeth, and gear B has 45 teeth. If a torque of 26 lb·in. and a speed of 620 rpm is required at C, determine the minimum power that the motor must provide.

Loads P = 14 N, Q = 90 N, and R = 17 N are applied to the structure. Determine the torque generated in segment (2). Let a = 100 mm, b = 77 mm, and c = 54 mm.