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Chapter 3.3, Problem 6P

Determine the tension force in member C and its angle θ for equilibrium. The forces are concurrent at point O. Take F = 8 kN.

Chapter 3.3, Problem 6P, Determine the tension force in member C and its angle  for equilibrium. The forces are concurrent at

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Q1: Determine the length, angle of contact, and width of a 9.75 mm thick leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at 300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The density of the leather is 1000 kg/m³. The maximum allowable stress in the leather is 2.5 MPa. The coefficient of friction between the leather and pulley is 0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having 20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day under light shock conditions, find from the standpoint of strength, 1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear. Check the gears thus designed from the consideration of wear. The surface endurance limit may be taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
4. G A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m. Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module, number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40 MPa and for cast iron as 53 MPa. Check the pair in wear.

Chapter 3 Solutions

Engineering Mechanics: Statics, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (14th Edition)

Ch. 3.3 - Determine the magnitude and direction of F so...Ch. 3.3 - The bottom one is subjected to a 125-N force at...Ch. 3.3 - If the forces are concurrent at point O, determine...Ch. 3.3 - Determine the tension force in member C and its...Ch. 3.3 - If the tension in AB is 60 lb, determine the...Ch. 3.3 - The cords ABC and BD can each support a maximum...Ch. 3.3 - Determine the maximum force F that can be...Ch. 3.3 - Determine the angle for equilibrium and the force...Ch. 3.3 - Prob. 11PCh. 3.3 - Determine the force in each of the cables AB and...Ch. 3.3 - Prob. 13PCh. 3.3 - The springs are shown in the equilibrium position.Ch. 3.3 - If the block is held in the equilibrium position...Ch. 3.3 - Note that s = 0 when the cylinders are removed.Ch. 3.3 - Prob. 17PCh. 3.3 - determine the stiffness of the spring to hold the...Ch. 3.3 - Take k = 180 N/m.Ch. 3.3 - If the spring has an unstretched length of 2 ft,...Ch. 3.3 - Cord AB is 2 ft long. Take k = 50 lb/ft.Ch. 3.3 - Determine the horizontal force F applied to the...Ch. 3.3 - Determine the displacement d of the cord from the...Ch. 3.3 - Determine the distances x and y for equilibrium if...Ch. 3.3 - Determine the magnitude of F1 and the distance y...Ch. 3.3 - Determine the force in each cord for equilibrium.Ch. 3.3 - Determine the largest mass of pipe that can be...Ch. 3.3 - If each light has a weight of 50 lb. determine the...Ch. 3.3 - Determine the tension developed in each cord...Ch. 3.3 - Determine the maximum mass of the lamp that the...Ch. 3.3 - If x = 2 m determine the force F and the sag s for...Ch. 3.3 - If F = 80 N. determine the sag s and distance x...Ch. 3.3 - Determine the tension in each cord and the angle ...Ch. 3.3 - Determine the largest weight of the lamp that can...Ch. 3.3 - Also, what is the force in cord AB? Hint: use the...Ch. 3.3 - Determine the position x and the tension developed...Ch. 3.3 - Prob. 37PCh. 3.3 - Take F = 300 N and d = 1 m.Ch. 3.3 - If a force of F = 100 N is applied horizontally to...Ch. 3.3 - If the cable can be attached at either points A...Ch. 3.3 - Determine the position x and the tension in the...Ch. 3.3 - The cord is fixed to a pin at A and passes over...Ch. 3.3 - Establish appropriate dimensions and use an...Ch. 3.3 - If the maximum tension that can be supported by...Ch. 3.3 - If the angle between AB and BC is 30, determine...Ch. 3.3 - If the distance BC is 1.5 m, and AB can support a...Ch. 3.4 - Determine the magnitude of forces F1, F2, F3, so...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - F310. Determine the tension developed in cables...Ch. 3.4 - Determine the tension in these wires.Ch. 3.4 - Determine the force developed in each cable for...Ch. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - If the bucket and its contents have a total weight...Ch. 3.4 - Each spring has on unstretched length of 2 m and a...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - Determine the tension in the cables in order to...Ch. 3.4 - Determine the maximum mass of the crate so that...Ch. 3.4 - Determine the force in each cable if F = 500 lb.Ch. 3.4 - Determine the greatest force F that can be applied...Ch. 3.4 - Determine the tens on developed in cables AB and...Ch. 3.4 - Also, what is the force developed along strut AD?Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - Determine the maximum weight of the crate that can...Ch. 3.4 - Prob. 56PCh. 3.4 - If each cord can sustain a maximum tension of 50 N...Ch. 3.4 - which has a mass of 15 kg. Take h = 4 m.Ch. 3.4 - Take h = 3.5 m.Ch. 3.4 - Determine the force in each chain for equilibrium....Ch. 3.4 - Determine the tension in each cable for...Ch. 3.4 - If the maximum force in each rod con not exceed...Ch. 3.4 - Determine the tension developed in each cable for...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - If cable AD is tightened by a turnbuckle and...Ch. 3.4 - Determine the tension developed in cables AB, AC,...Ch. 3.4 - Determine the maximum weight of the crate so that...Ch. 3.4 - If the bolt exerts a force of 50 lb on the pipe in...Ch. 3.4 - Prob. 2RPCh. 3.4 - Determine the maximum weight of the flowerpot that...Ch. 3.4 - Determine the magnitude of the applied vertical...Ch. 3.4 - Prob. 5RPCh. 3.4 - Determine the magnitudes of F1, F2, and F3 for...Ch. 3.4 - Determine the force in each cable needed to...Ch. 3.4 - If cable AB is subjected to a tension of 700 N,...

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