Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140o from the positive x-axis, and force C acts at 15o from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.59P: The weight of the uniform bar AB is W. The stiffness of the ideal spring attached to B is k, and the...
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1. Three forces act on particle A located at the origin of an x-y coordinate system. Force B acts at 140o from the positive x-axis, and force C acts at 15o from the positive x-axis. The weight acts down with a magnitude of W = 100 kN. Use the equations of equilibrium to determine the magnitudes of B and C such that particle A is in equilibrium. For problems 2-5, consider the following scenario. Equilibrium of a particle: ΣF=0 ∴ ΣFx=0 and ΣFy=0. Dimensions are: h = 2.5 ft, d1 = 4.75 ft, and d2 = 3 ft. Give numeric answers to three significant figures. The load W = 50 lb. Carefully draw a neat, labeled, free body diagram of particle C. Based on your FBD develop two equilibrium equations in terms of the symbols defined on your free body diagram. Find angles α and β. 5. Using your FBD from problem 5, substitute the known weight and angles α and β into your equations, then solve them simultaneously to find the tensions in cables AC and BC. These houses be the answers , 1. B = 117.9 kN, C = 93.52 kN , 4) 4. 27.8o, 39.8o and 5) TAC = 41.6 lb, TBC = 47.9 lb
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