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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-1 EML 3004C Problem 2-12 (page 26) The cable exerts a force of 600 N on the frame. Resolve this force into components acting (a) along the x and y axes and (b) along the u and v axes. What is the magnitude of each component? Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-2 EML 3004C Problem 2-16 (page 26) If the resultant F R of the two forces acting on the jet aircraft is to be directed along the positive x axis and have a magnitude of 10 kN, determine the angle of the cable attached to the truck at B such that the force F B in this cable in a minimum. What is the magnitude of force in each cable when this occurs? Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-3 EML 3004C Problem 2-29 (page 35) Three forces act on the bracket. Determine the magnitude and orientation of F 2 so that the resultant force is directed along the positive u axis and has a magnitude of 50 lb. Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-4 EML 3004C Problem 2-29 continued

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-5 EML 3004C Problem 2-42 (page 47) The pipe is subjected to the force F which has components acting along the x, y, z axes as shown. If the magnitude of F is 12 kN, and α = 120 deg and γ = 45 deg, determine the magnitudes of its three components. Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-6 EML 3004C Problem 2-48 (page 55) Express the position vector r in Cartesian vector form; then determine its magnitude and coordinate direction angles. Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-7 EML 3004C Problem 2-48 continued

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-8 EML 3004C Problem 2-59 (page 57) Express each of the two forces in Cartesian vector form and then determine the magnitude and coordinate direction angles of the resultant force. Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-9 EML 3004C Problem 2.59 continued 1

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-10 EML 3004C Problem 2-59 continued 2

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-11 EML 3004C Problem 2-65 (page 59) The cylindrical vessel is supported by three cables which are concurrent at point D. Express each force which the cables exert on the vessel as a Cartesian vector, and determine the magnitude and coordinate direction angles of the resultant force. Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-12 EML 3004C Problem 2-65 continued 1

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-13 EML 3004C Problem 2-65 continued 2

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-14 EML 3004C Problem 2-65 continued 3

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-15 EML 3004C Problem 2-78 (page 65) Determine the magnitudes of the projected components of the force F={-80i + 30j + 20k} lb in the direction of the cables AB and AC. Solution:

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-16 EML 3004C Problem 2-78 continued

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Namas Chandra Introduction to Mechanical engineering Hibbler Chapter 2-17 EML 3004C Problem 2-95 (page 68) Express each of the three forces acting on the column in Cartesian vector form and determine the magnitude of the resultant force. Solution:

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