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Spring 2006 Exam 1 Soln - 3(25 points The 20-kg homogeneous...

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Problem 1: (25 points) Given vectors A=i+2j+3k and B=2i+j-k in Cartesian form. (1) Determine the angle between the two vectors (in degrees), and (2) determine the orthogonal projection of A onto B, proj B A.
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Problem 2: (25 points) Two forces F, and Fv are applied to a bracket, and their directions are shown in the figure below. Their resultant force R has a magnitude of 725 lb, and a direction shown in the figure. Determine the magnitudes of F, and Fv .
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Unformatted text preview: 3: (25 points) The 20-kg homogeneous smooth sphere rests on the two inclined smooth surfaces as shown. Draw relevant free-body diagram(s), and determine the support forces on the sphere at A and B. Problem 4: (25 points) For the following set of linear equations: x + y + z = l x - y + z = 2 x + y - z = 3 (1) Write down the augmented matrix; (2) Find the reduced row-echelon form of the augmented matrix; (3) Find the solution from the reduced row-echelon form...
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