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A 57-lb child and a 178-lb adult are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 22 in., b = 43 in., and c = 27 in.

A torque of T = 255 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 23 ksi.

A force of P = 22 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 98,600 mm4 and a shear modulus of 0.9 GPa. Core (2) has a polar moment of inertia of 32,600 mm4 and a shear modulus of 0.7 GPa. Determine the torque produced in core (2). Let a = b = 210 mm.

Gear A has 71 teeth, and gear B has 46 teeth. If a torque of 25 lb·in. and a speed of 870 rpm is required at C, determine the minimum power that the motor must provide.

A 83-lb child and a 28-lb cardboard box are on an oak beam. Determine the vertical reaction force at the right end of the beam. Let a = 24 in., b = 33 in., and c = 41 in.

A beam has dimensions of b = 18 in., h = 22 in., and d = 19.5 in. and is reinforced with 4 No. 5 bars. The concrete strength is 7,900 psi, and the yield strength of the reinforcement is 60,000 psi. Determine the strength Mn for this beam.

Gear A has a diameter of 1.64 in., and gear B has a diameter of 2.31 in. If the pointer needs to be rotated 61° CW, how much should the motor be rotated?

A load of P = 11 N is applied to a hex wrench that has lengths a = 19 mm and b = 68 mm. Determine the torque applied to the set screw.

A load of P = 33 N is applied a = 145 mm from the center of a 12 mm bolt. Determine the torque applied to the bolt.

A 21-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 = 21 lb. Let a = 53 in.