Final Exam 102 2008 with Answers

# Final Exam 102 2008 with Answers - MAE 102 FINAL EXAM FALL...

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MAE 102 FINAL EXAM FALL 2008 1. Each of the two rods has length and mass m . The rods are released from rest in the horizontal position shown. For this initial position, ±nd the magnitude and direction of each of the following: the horizontal and vertical reactions that pin A exerts on the rod AB , and the angular acceleration of each rod. B O A ll A x = O x = 0 A y = mg 14 Reaction A y acts up on rod OA and down on rod AB . O y = 2 mg 7 Reaction O y acts up on rod OA . angular acceleration of rod OA = 9 g 7 counterclockwise angular acceleration of rod AB = 3 g 7 clockwise

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2. The rod of mass m and length slides without friction against the wall and ﬂoor as shown. The bottom of the rod presses against a spring of stiﬀness k = mg/ 3 . The spring is uncompressed when the rod is vertical ( θ = 0). The rod is released from rest with θ = 0, and it slides down. Find: (a) The velocity of the center of the rod as a function of θ and ˙ θ , (b) ˙ θ as a function of θ , (c) the maximum value of θ .
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Final Exam 102 2008 with Answers - MAE 102 FINAL EXAM FALL...

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