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2008F_Final_sol

# 2008F_Final_sol - EM 306 Statics FINAL EXAM Fall 2008...

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EM 306 – Statics FINAL EXAM Fall 2008 - Landis Name ___________________________________ EID ___________________________________ Unique Number __________________________ Instructions: Correctly drawn and labeled free body diagrams are required for all problems. Show all of your work. Place a box around your final answers and include units. Problem 1. The mass of the block B is 8 kg. The coefficient of static friction between the surfaces of the clamp and the block is μ s = 0.2 . When the clamp is aligned as shown, what minimum force must the spring exert to prevent the block from slipping out? (20 points) Problem 2. If I yy = 5m 4 , determine (a) the dimension h , (b) the location of the centroid, and (c) I x x . The centroid of a semi- circle is located 4 R / 3 ! above its base, and the moments of inertia about axes passing through its centroid are I ! x ! x = " 8 # 8 9 " \$ % & ( ) R 4 and I ! y ! y = " 8 R 4 . (15 points)

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EM 306 – Statics FINAL EXAM Fall 2008 - Landis Problem 3 . (a) Draw a free body diagram of the door. Do not make any assumptions about the hinges at A and B except for the fact that they are free to rotate about their axis.
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