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Spring 2006 Retest 1 Soln

Spring 2006 Retest 1 Soln - (3 Draw the resultant force in...

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Problem 1 : (25 points) The dimensions of a rectangular box, as shown in the figure, are 6,8, and 10. A is at the middle point of a long edge. (1) Determine vectors OA and OB in Cartesian form; (2) Determine the angle between the two vectors (in degrees); (3) Determine the orthogonal projection of OA onto OB, proj 0~ OA.

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Problem 2: (25 points) Three forces F1, F2, and F3, as shown in the figure, are 1000N, 1500N, and 2000N, respectively, in magnitude. Their directions are given in the figure. (1) Determine the resultant force of the three given forces in Cartesian vector form. (2) Determine the magnitude and direction of the resultant force.

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Unformatted text preview: (3) Draw the resultant force in the given fimre to approximately show its magnitude and direction. Problem 3: (25 points) A body with a mass of 300 kg is supported by the flexible cable systems shown in the figure below. Determine the magnitudes of tensions in cables A, B, C, D, and E. Note: draw all free body diagrams involved. Problem 4: (25 points) For the following set of linear equations: x, + x, + x, = 1 x, - 2x2 + 4x, = 4 x, +3x2 +x, = 3 + (1) Write down the augmented matrix; (2) Find the reduced row-echelon form of the augmented matrix, by using Gauss-Jordan elimination; (3) Find the solution from the reduced row-echelon form...
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