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Final Exam EM 306s 5/8/90 Read the problems and figures carefully. Show all your work. Partial credit will be given. The seven problems are worth from 20 to 35 points each. 1) (35) Find the moment produced by F2 about the OC axis. 2) (30) Use integration to find the centroid of the region shown. 1. ' . J 3) (25) Find the moment of inertia of the composite area. The moment of inertia about the centroid of a rectangle is (1/12)*b*h3. -- ; , 1 f.,. 4 ) (35) Determine the force in truss members HC, A* L . , State tension or compression. . -, ,,- , <- L_ j- :.tl - -- -. '- n I-. J - t\& ,,T, -7 < HG, BC and FC. 5 ) (20) Construct the shear and bending moment diagram for the beam. Label the values of V and M at points A, B and C. 7) (30) A ball is falling straight down at a speed of 15 mlsec, 120 meters above the ground. Beginning with V= dxfdt and a = dVldt derive the necessary equations and find: a) the velocity after the ball has fallen 80 meters. b) the time it takes to hit the ground. ----_._ ,' , 2:)*<.- (2 points) ( 2 points) - .<,.' .- -- - I ' ( -. ' < -I? *. . t, ? - 3 1 What children's story scared you the most? What is the integral of e raised to the x 2 with respect to x?