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 = 22 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 92,800 mm4 and a shear modulus of 1.7 GPa. Core (2) has a polar moment of inertia of 38,300 mm4 and a shear modulus of 1.4 GPa. Determine the torque produced in core (2). Let a = b = 245 mm.

A torque of T = 120 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 22 ksi.

Determine the magnitude of the largest bending moment (consider both positive and negative peaks) in the beam. Let M = 196 lb·ft, a = 2.5 ft, and b = 8.5 ft. Assume the beam cannot lift off of the supports.

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 112,000 mm4 and a shear modulus of 0.5 GPa. Core (2) has a polar moment of inertia of 19,100 mm4 and a shear modulus of 1.8 GPa. Determine the torque produced in core (2). Let a = b = 230 mm.

Gear B has 10 teeth, and gear C has 17 teeth. If a torque of 13 lb·in. and a speed of 2,070 rpm is required at A, determine the minimum power that the motor must provide.

A 25-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 = 1.2500 lb/in. Let a = 40 in. and b = 20 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 89,000 mm4 and a shear modulus of 0.5 GPa. Core (2) has a polar moment of inertia of 27,500 mm4 and a shear modulus of 1.5 GPa. Determine the torque produced in sleeve (1). Let a = b = 235 mm.

A force of P = 30 N is applied to a lever at the end of a composite shaft. Sleeve (1) has a polar moment of inertia of 132,000 mm4 and a shear modulus of 1.4 GPa. Core (2) has a polar moment of inertia of 15,700 mm4 and a shear modulus of 1.1 GPa. Determine the torque produced in sleeve (1). Let a = b = 210 mm.

An upward load is applied to a circular rod that has a diameter of 10.70 mm. The rod is connected to the ground using a pin that has a diameter of 9.24 mm. If the normal stress in the rod is limited to 90 MPa and the average shear stress in the pin is limited to 170 MPa, determine the maximum load that can be applied to this connection.