Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 4.5, Problem 9P
To determine
The tension in the rope at
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1. The truss shown is supported by hinge at A and cable at E.Given: H = 4m, S = 1.5 m, α = 75⁰, θ = 33⁰.Allowable tensile stress in cable = 64 MPa.Allowable compressive stress in all members = 120 MPaAllowable tensile stress in all members = 180 MPa1.Calculate the maximum permissible P, in kN, if the diameter of the cable is 20 mm.2.If P = 40 kN, calculate the required area (mm2) of member BC.3. If members have solid square section, with dimension 15 mm, calculate the maximum permissible P (kN) based on the allowable strength of member HI.ANSWERS: (1) 45.6 kN; (2) 83.71 mm2; (3) 171.76 kN
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2: A wire 4 meters long is stretched horizontally between points 4 meters apart. The wire is 25 mm2 in cross-section with a modulus of elasticity of 200 GPa. A load W placed at the center of the wire produces a sag Δ.1.Calculate the tension (N) in the wire if sag Δ = 30 mm.2.Calculate the magnitude of W, in N, if sag Δ = 54.3 mm.3. If W is 60 N, what is the sag (in mm)?ANSWERS: (1) 562 N, (2) 100 N, (3) 45.8 N
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4 : A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position as shown. The cable has tensile force T and is attached at C. The length of the pole is 6.0 m, the outer diameter is d = 140 mm, and the wall thickness t = 12 mm. The pole pivots about a pin at A. The allowable shear stress in the pin is 60 MPa and the allowable bearing stress is 90 MPa. The diameter of the cable is 8 mm.1.Find the minimum diameter (mm) of the pin at A to support the weight of the pole in the position shown.2.Calculate the elongation (mm) of the cable CD.3.Calculate the vertical displacement of point C, in mm.ANSWERS: (1) 6 mm, (2) 1.186 mm, (3) 1.337 mm--
Chapter 4 Solutions
Engineering Mechanics: Dynamics
Ch. 4.5 - The system of three particles has the indicated...Ch. 4.5 - Prob. 2PCh. 4.5 - Prob. 3PCh. 4.5 - Prob. 4PCh. 4.5 - Prob. 5PCh. 4.5 - Prob. 6PCh. 4.5 - The total linear momentum of a system of five...Ch. 4.5 - Prob. 8PCh. 4.5 - Prob. 9PCh. 4.5 - The monkeys of Prob. 4/9 are now climbing along...
Ch. 4.5 - Prob. 11PCh. 4.5 - Each of the five connected particles has a mass of...Ch. 4.5 - Prob. 13PCh. 4.5 - Calculate the vertical acceleration of the system...Ch. 4.5 - The two small spheres, each of mass m, and their...Ch. 4.5 - Prob. 17PCh. 4.5 - A centrifuge consists of four cylindrical...Ch. 4.5 - The three small spheres are welded to the light...Ch. 4.5 - Prob. 20PCh. 4.5 - The 300-kg and 400-kg mine cars are rolling in...Ch. 4.5 - Prob. 22PCh. 4.5 - The man of mass m1 and the woman of mass m2 are...Ch. 4.5 - The woman A, the captain B, and the sailor C weigh...Ch. 4.5 - Prob. 25PCh. 4.5 - Prob. 26PCh. 4.5 - Prob. 27PCh. 4.5 - Prob. 28PCh. 4.5 - Prob. 29PCh. 4.5 - The carriage of mass 2m is free to roll along the...Ch. 4.5 - Prob. 31PCh. 4.5 - Prob. 33PCh. 4.5 - Prob. 34PCh. 4.5 - Prob. 35PCh. 4.5 - Prob. 36PCh. 4.5 - Prob. 37PCh. 4.5 - Prob. 38PCh. 4.5 - Prob. 39PCh. 4.5 - Prob. 40PCh. 4.5 - Prob. 41PCh. 4.5 - Prob. 42PCh. 4.5 - Prob. 43PCh. 4.5 - The 90° vane moves to the left with a constant...Ch. 4.5 - The pipe bend shown has a cross-sectional area A...Ch. 4.5 - A jet of fluid with cross-sectional area A and...Ch. 4.5 - Prob. 47PCh. 4.5 - Prob. 48PCh. 4.5 - Prob. 49PCh. 4.5 - Prob. 50PCh. 4.5 - Prob. 51PCh. 4.5 - Prob. 52PCh. 4.5 - Prob. 53PCh. 4.5 - Prob. 54PCh. 4.5 - Prob. 55PCh. 4.5 - Prob. 56PCh. 4.5 - Prob. 57PCh. 4.5 - Prob. 58PCh. 4.5 - Prob. 60PCh. 4.5 - Prob. 61PCh. 4.5 - Prob. 62PCh. 4.5 - Prob. 63PCh. 4.5 - Prob. 64PCh. 4.5 - Prob. 65PCh. 4.5 - Prob. 66PCh. 4.5 - Prob. 67PCh. 4.5 - In the figure is shown a detail of the stationary...Ch. 4.7 - When the rocket reaches the position in its...Ch. 4.7 - Prob. 70PCh. 4.7 - Prob. 71PCh. 4.7 - Prob. 72PCh. 4.7 - Prob. 73PCh. 4.7 - Prob. 74PCh. 4.7 - Prob. 75PCh. 4.7 - Prob. 76PCh. 4.7 - Prob. 77PCh. 4.7 - Prob. 78PCh. 4.7 - Prob. 79PCh. 4.7 - Prob. 80PCh. 4.7 - Prob. 81PCh. 4.7 - Prob. 82PCh. 4.7 - Prob. 83PCh. 4.7 - Prob. 84PCh. 4.7 - Prob. 85PCh. 4.7 - Prob. 86PCh. 4.7 - Prob. 87PCh. 4.7 - Prob. 88PCh. 4.7 - Prob. 89PCh. 4.7 - Prob. 90PCh. 4.7 - Prob. 91PCh. 4.7 - Prob. 92PCh. 4.8 - Prob. 93RPCh. 4.8 - For the particle system of Prob. 4/93, determine...Ch. 4.8 - Prob. 95RPCh. 4.8 - Prob. 96RPCh. 4.8 - Prob. 97RPCh. 4.8 - Prob. 98RPCh. 4.8 - Prob. 99RPCh. 4.8 - Prob. 100RPCh. 4.8 - Prob. 101RPCh. 4.8 - Prob. 102RPCh. 4.8 - Prob. 104RPCh. 4.8 - Prob. 105RPCh. 4.8 - Prob. 106RPCh. 4.8 - Prob. 107RPCh. 4.8 - Prob. 108RPCh. 4.8 - Prob. 109RPCh. 4.8 - Prob. 110RPCh. 4.8 - A rope or hinged-link bicycle-type chain of length...
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