Engineering Mechanics: Statics
Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Chapter 8.2, Problem 6FP
To determine

The minimum coefficient of static friction (μs) .

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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 8 Solutions

Engineering Mechanics: Statics

Ch. 8.2 - The tractor exerts a towing force T=400 lb....Ch. 8.2 - The winch on the truck is used to hoist the...Ch. 8.2 - Prob. 4PCh. 8.2 - Prob. 5PCh. 8.2 - Prob. 6PCh. 8.2 - The block brake consists of a pin-connected lever...Ch. 8.2 - The block brake consists of a pin-connected lever...Ch. 8.2 - Prob. 9PCh. 8.2 - Prob. 10PCh. 8.2 - The block brake is used to stop the wheel from...Ch. 8.2 - If a torque of M=300 Nm is applied to the...Ch. 8.2 - The cam is subjected to a couple moment of 5N m....Ch. 8.2 - Determine the maximum weight W the man can lift...Ch. 8.2 - The car has a mass of 1.6 Mg and center of mass at...Ch. 8.2 - Prob. 16PCh. 8.2 - Prob. 17PCh. 8.2 - Prob. 18PCh. 8.2 - Prob. 19PCh. 8.2 - Prob. 20PCh. 8.2 - Prob. 21PCh. 8.2 - Prob. 22PCh. 8.2 - A 35-kg disk rests on an inclined surface for...Ch. 8.2 - The man has a weight of 200 lb, and the...Ch. 8.2 - Prob. 25PCh. 8.2 - Prob. 26PCh. 8.2 - Prob. 27PCh. 8.2 - Prob. 28PCh. 8.2 - Prob. 29PCh. 8.2 - Prob. 30PCh. 8.2 - If the coefficient of static friction at A and B...Ch. 8.2 - Prob. 32PCh. 8.2 - Prob. 33PCh. 8.2 - Prob. 34PCh. 8.2 - Prob. 35PCh. 8.2 - Prob. 36PCh. 8.2 - Prob. 37PCh. 8.2 - Prob. 38PCh. 8.2 - Prob. 39PCh. 8.2 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8.2 - Two blocks A and B have a weight of 10 Ib and 6...Ch. 8.2 - Prob. 42PCh. 8.2 - Prob. 43PCh. 8.2 - Prob. 44PCh. 8.2 - Prob. 45PCh. 8.2 - The beam AB has a negligible mass and thickness...Ch. 8.2 - It is supported at one end by a pin and at the...Ch. 8.2 - Prob. 48PCh. 8.2 - Prob. 49PCh. 8.2 - Prob. 50PCh. 8.2 - Prob. 51PCh. 8.2 - Prob. 52PCh. 8.2 - The wheel weights 20 lb and rests on a surface for...Ch. 8.2 - Prob. 54PCh. 8.2 - Determine the greatest angle so that the ladder...Ch. 8.2 - Prob. 56PCh. 8.2 - Prob. 57PCh. 8.2 - Prob. 4CPCh. 8.4 - Determine the largest angle that will cause the...Ch. 8.4 - If the beam AD is loaded as shown, determine the...Ch. 8.4 - Prob. 60PCh. 8.4 - Prob. 61PCh. 8.4 - If P=250 N, determine the required minimum...Ch. 8.4 - Determine the minimum applied force P required to...Ch. 8.4 - Prob. 64PCh. 8.4 - Prob. 65PCh. 8.4 - Prob. 66PCh. 8.4 - Prob. 67PCh. 8.4 - If the clamping force on the boards is 600 lb,...Ch. 8.4 - Prob. 69PCh. 8.4 - If the force F is removed from the handle of the...Ch. 8.4 - If the clamping force at G is 900 N, determine the...Ch. 8.4 - If a horizontal force of F = 50 N is applied...Ch. 8.4 - Prob. 73PCh. 8.4 - Prob. 74PCh. 8.4 - The shaft has a square-threaded screw with a lead...Ch. 8.4 - Prob. 76PCh. 8.4 - Prob. 77PCh. 8.4 - Prob. 78PCh. 8.4 - If a horizontal force of P = 100 N is applied...Ch. 8.4 - Determine the horizontal force P that must be...Ch. 8.4 - Prob. 81PCh. 8.4 - Prob. 82PCh. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - A cylinder having a mass of 250 kg is to be...Ch. 8.5 - Prob. 85PCh. 8.5 - Prob. 86PCh. 8.5 - Prob. 87PCh. 8.5 - The coefficient of static friction between the...Ch. 8.5 - Prob. 89PCh. 8.5 - Prob. 90PCh. 8.5 - Prob. 91PCh. 8.5 - Prob. 92PCh. 8.5 - Prob. 93PCh. 8.5 - Determine the weight of the cylinder if the...Ch. 8.5 - If slipping does not occur at the wall, determine...Ch. 8.5 - Prob. 96PCh. 8.5 - Prob. 97PCh. 8.5 - Show that the frictional relationship between the...Ch. 8.5 - Prob. 99PCh. 8.5 - Determine the largest angles so that the cord...Ch. 8.5 - Prob. 101PCh. 8.5 - Determine the smallest counterclockwise twist or...Ch. 8.5 - Prob. 103PCh. 8.5 - Prob. 104PCh. 8.5 - Determine the smallest stretch of the spring...Ch. 8.5 - Idler pulley A, and motor pulley B. If the motor...Ch. 8.8 - Prob. 107PCh. 8.8 - Prob. 108PCh. 8.8 - Prob. 109PCh. 8.8 - Prob. 110PCh. 8.8 - Prob. 111PCh. 8.8 - Prob. 112PCh. 8.8 - Prob. 113PCh. 8.8 - Prob. 114PCh. 8.8 - Prob. 116PCh. 8.8 - Prob. 117PCh. 8.8 - Prob. 118PCh. 8.8 - Prob. 119PCh. 8.8 - Prob. 120PCh. 8.8 - Prob. 121PCh. 8.8 - Prob. 122PCh. 8.8 - Prob. 123PCh. 8.8 - Prob. 124PCh. 8.8 - Prob. 125PCh. 8.8 - Prob. 126PCh. 8.8 - Prob. 127PCh. 8.8 - The vehicle has a weight of 2600 lb and center of...Ch. 8.8 - The tractor has a weight of 16 000 lb and the...Ch. 8.8 - Prob. 130PCh. 8.8 - Prob. 131PCh. 8.8 - Prob. 132PCh. 8.8 - Prob. 133RPCh. 8.8 - Prob. 134RPCh. 8.8 - Prob. 135RPCh. 8.8 - Prob. 136RPCh. 8.8 - The three stone blocks have weights of, WA =...Ch. 8.8 - The uniform 60-kg crate C rests uniformly on a...Ch. 8.8 - Prob. 139RPCh. 8.8 - Prob. 140RPCh. 8.8 - Prob. 141RPCh. 8.8 - Prob. 142RPCh. 8.8 - Prob. 143RPCh. 8.8 - Prob. 144RP
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