Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 2.8, Problem 104P
Due to symmetry, the tension in the four cables is the same.
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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 2 Solutions
Engineering Mechanics: Statics
Ch. 2.3 - Determine the magnitude of the resultant force...Ch. 2.3 - Determine the magnitude of the resultant force....Ch. 2.3 - Determine the magnitude of the resultant force and...Ch. 2.3 - Resolve the 30-lb force into components along the...Ch. 2.3 - Resolve this force into components acting along...Ch. 2.3 - along the v axis. Prob. F2-6Ch. 2.3 - Determine the magnitude of the resultant force FR...Ch. 2.3 - If = 60 and F = 450 N, determine the magnitude of...Ch. 2.3 - If the magnitude of the resultant force is to be...Ch. 2.3 - Determine the magnitude of the resultant force FR...
Ch. 2.3 - Prob. 5PCh. 2.3 - Prob. 6PCh. 2.3 - Determine the magnitudes of the two components of...Ch. 2.3 - Solve with F = 350 lb. Prob. 2-4/5Ch. 2.3 - Prob. 9PCh. 2.3 - Prob. 10PCh. 2.3 - Resolve this force into two components acting...Ch. 2.3 - Determine the magnitude of F and its component...Ch. 2.3 - Determine the magnitude of F and its direction ....Ch. 2.3 - Prob. 14PCh. 2.3 - If = 60, determine the magnitude of the resultant...Ch. 2.3 - Also, what is the magnitude of the resultant...Ch. 2.3 - What is the component of force acting along member...Ch. 2.3 - Take = 30. Probs. 2-19/20Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - Determine the magnitude and direction of the...Ch. 2.3 - If F1 = 400 N and F2 = 600 N, determine the angle...Ch. 2.3 - If their lines of action are at an angle apart...Ch. 2.3 - Prob. 23PCh. 2.3 - Prob. 24PCh. 2.3 - Prob. 25PCh. 2.3 - Prob. 26PCh. 2.3 - Prob. 27PCh. 2.3 - directed along the positive x axis, determine the...Ch. 2.3 - If FB = 3 kN and = 45, determine the magnitude of...Ch. 2.3 - If the resultant force of the two tugboats is...Ch. 2.3 - Prob. 31PCh. 2.4 - Resolve each force acting on the post into its x...Ch. 2.4 - Determine the magnitude and direction of the...Ch. 2.4 - Determine the magnitude of the resultant force...Ch. 2.4 - determine the magnitude of F and its direction ....Ch. 2.4 - If the magnitude of the resultant force acting on...Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Prob. 32PCh. 2.4 - Prob. 33PCh. 2.4 - Resolve F1 and F2 into their x and y components.Ch. 2.4 - Determine the magnitude of the resultant force and...Ch. 2.4 - Resolve each force acting on the gusset plate into...Ch. 2.4 - Determine the magnitude of the resultant force...Ch. 2.4 - Prob. 38PCh. 2.4 - Prob. 39PCh. 2.4 - Prob. 40PCh. 2.4 - Prob. 41PCh. 2.4 - Determine the magnitude and orientation of FB so...Ch. 2.4 - measured counterclockwise from the positive y...Ch. 2.4 - Prob. 44PCh. 2.4 - Prob. 45PCh. 2.4 - Prob. 46PCh. 2.4 - Determine the magnitude and direction of the...Ch. 2.4 - Prob. 48PCh. 2.4 - Prob. 49PCh. 2.4 - Prob. 50PCh. 2.4 - Prob. 51PCh. 2.4 - Prob. 52PCh. 2.4 - What is the magnitude of the resultant force?...Ch. 2.4 - Prob. 54PCh. 2.4 - Prob. 55PCh. 2.4 - Prob. 56PCh. 2.4 - Prob. 57PCh. 2.4 - If the magnitude of the resultant force acting on...Ch. 2.4 - Set = 30. Probs. 2-56/57Ch. 2.6 - Determine the coordinate direction angles of the...Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Express the force as a Cartesian vector. Prob....Ch. 2.6 - Determine the resultant force acting on the hook....Ch. 2.6 - Prob. 60PCh. 2.6 - Determine the magnitude and coordinate direction...Ch. 2.6 - Specify the coordinate direction angles of F1 and...Ch. 2.6 - If the magnitude of F is 80 N, and = 60 and =...Ch. 2.6 - Prob. 64PCh. 2.6 - Prob. 65PCh. 2.6 - Prob. 66PCh. 2.6 - Prob. 67PCh. 2.6 - Prob. 68PCh. 2.6 - Prob. 69PCh. 2.6 - Prob. 70PCh. 2.6 - Prob. 71PCh. 2.6 - Prob. 72PCh. 2.6 - Express each force as a Cartesian vector.Ch. 2.6 - Determine the resultant of the two forces and...Ch. 2.6 - Prob. 75PCh. 2.6 - Prob. 76PCh. 2.6 - Prob. 77PCh. 2.6 - Prob. 78PCh. 2.6 - Prob. 79PCh. 2.6 - If the coordinate direction angles for F1 are 3 =...Ch. 2.6 - If the coordinate direction angles for F1 are 3 =...Ch. 2.6 - If the direction of the resultant force acting on...Ch. 2.6 - Express each force in Cartesian vector form and...Ch. 2.6 - Prob. 84PCh. 2.6 - If = 75, determine the magnitudes of F and Fy....Ch. 2.8 - Express the position vector rAB in Cartesian...Ch. 2.8 - What is the angle ? Prob. F2-20Ch. 2.8 - Prob. 21FPCh. 2.8 - Express the force as a Cartesian vector. Prob....Ch. 2.8 - Determine the magnitude of the resultant force at...Ch. 2.8 - Determine the resultant force at A. Prob. F2-24Ch. 2.8 - Prob. 86PCh. 2.8 - Prob. 87PCh. 2.8 - Prob. 88PCh. 2.8 - If F = {350i 250j 450k} N and cable AB is 9 m...Ch. 2.8 - Prob. 90PCh. 2.8 - Prob. 91PCh. 2.8 - If FB = 560 N and FC = 700 N, determine the...Ch. 2.8 - If FB = 700 N, and FC = 560 N, determine the...Ch. 2.8 - Prob. 94PCh. 2.8 - Prob. 95PCh. 2.8 - Prob. 96PCh. 2.8 - Prob. 97PCh. 2.8 - Express this force as a Cartesian vector acting on...Ch. 2.8 - Prob. 99PCh. 2.8 - Prob. 100PCh. 2.8 - Represent each force as a Cartesian vector and...Ch. 2.8 - Prob. 102PCh. 2.8 - If the force in each cable tied to the bin is 70...Ch. 2.8 - Due to symmetry, the tension in the four cables is...Ch. 2.8 - Prob. 105PCh. 2.8 - If the force in each chain has a magnitude of 60...Ch. 2.8 - If the resultant force at O has a magnitude of 130...Ch. 2.8 - Prob. 108PCh. 2.8 - Prob. 109PCh. 2.8 - Prob. 110PCh. 2.8 - Determine the length of the chain, and express the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the angle between the force and the...Ch. 2.9 - Determine the projected component of the force...Ch. 2.9 - Find the magnitude of the projected component of...Ch. 2.9 - Determine the components of the force acting...Ch. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Prob. 112PCh. 2.9 - Determine the angle between the edges of the...Ch. 2.9 - Prob. 114PCh. 2.9 - Prob. 115PCh. 2.9 - Prob. 116PCh. 2.9 - Prob. 117PCh. 2.9 - Determine the projection of the force F along the...Ch. 2.9 - Determine the angle between the y axis of the...Ch. 2.9 - Determine the magnitudes of the components of F =...Ch. 2.9 - Determine the magnitude of the projection of force...Ch. 2.9 - Prob. 122PCh. 2.9 - Prob. 123PCh. 2.9 - Prob. 124PCh. 2.9 - Prob. 125PCh. 2.9 - Determine the magnitude of the projected component...Ch. 2.9 - Determine the angle between the two cables...Ch. 2.9 - Prob. 128PCh. 2.9 - Express this component as a Cartesian vector....Ch. 2.9 - Prob. 130PCh. 2.9 - Determine the angles and made between the axes...Ch. 2.9 - Prob. 132PCh. 2.9 - Prob. 133PCh. 2.9 - Determine the magnitudes of the components of the...Ch. 2.9 - Prob. 135PCh. 2.9 - Express the force F in Cartesian vector form if it...Ch. 2.9 - Express force F in Cartesian vector form if point...Ch. 2.9 - Determine the magnitudes of the projected...Ch. 2.9 - Prob. 139PCh. 2.9 - Prob. 140RPCh. 2.9 - Determine the x and y components of F1 and F2....Ch. 2.9 - Determine the magnitude of the resultant force and...Ch. 2.9 - Determine the magnitude of the resultant force...Ch. 2.9 - Express F1 and F2 as Cartesian vectors.Ch. 2.9 - Determine the magnitude of the resultant force and...Ch. 2.9 - The cable attach to the tractor at B exerts a...Ch. 2.9 - Prob. 147RPCh. 2.9 - Prob. 148RPCh. 2.9 - Prob. 149RP
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