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2010S_Final_sol - EM 306 Statics Name EID Unique Number...

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EM 306 – Statics FINAL EXAM Spring 2010 - Landis Name EID Unique Number Instructions: Correctly drawn and labeled free body diagrams are required for all problems with equilibrium analyses. Show all of your work. Place a box around your final answers and include units. Do all of your work on separate sheets of paper. Nothing written directly on the test sheet will be graded. Problem 1. Determine the reactions at O required to maintain equilibrium when ! = 60 ! . The spring is unstretched when ! = 90 ! . Note that the distances are given in feet but the spring stiffness is given in pounds per inch. You need to convert one or the other using the fact that there are 12 inches in one foot. (20 points) Problem 2. For the semi-circular area of radius R , determine: (a) the location of the centroid using integration methods, (b) I x and I y using integration methods, and (c) I x and I y using the parallel axis theorem. (20 points) dA = rdrd ! in polar coordinates sin 2 ! d ! 0
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