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final_sol

# final_sol - ME 16 Spring 2009 Final Instructions 1 Do not...

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ME 16 Spring 2009 Final Instructions: 1. Do not open this booklet until instructed to do so . 2. Write your name on this answer booklet. 3. Read each question carefully. 4. If you find that you are spending too much time on a problem, move on to the next and come back to it later. 5. Please, please, please write legibly. 6. To receive full credit you must show your work and explain clearly what you are doing. 7. The last page contains information which might be useful. NAME: Solutions (corrected 2) Have a nice summer 1

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Problem 1 10% A 180-lb (that’s lb.force) wrecking ball B is attached to a 40-ft-long steel cable AB and swings in the vertical arc shown. Determine the tension in the cable 1. at the top C of the swing, where θ = 30 o , 2. at the bottom D of the swing, where the speed of B is 18.6 ft/s. (The scan below should say ”At position D” instead of ”At position B”) 2
Problem 2 10% The disk shown is equipped with a spring that is uncompressed when r = 0. The mass of the slider is 2 Kg. It is observed that when the disk is rotating at ˙ θ = 10 rad/s, the slider does not move along the track. What is the spring constant? Solution: FBD of slider: 3

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Problem 3 25% Draw the complete Free Body Diagrams (FBD) for each of the systems shown below. In cases where there are multiple bodies, draw separate FBD for each body and make sure to label forces that are equal. Make sure to include all possible reaction forces, and include gravity in all cases. 1. Contact with surfaces is frictionless W N 1 N 2 W: Gravity, N 1 , N 2 : Surface Normal Forces, both perpendicular to frictionless surfaces 2. Both drums rotate without slip A B W A B1 N N W A1 B F 1 F 1 F 2 F 2 N A2 B2 N W A , W B : Weight of A and B N A 1 , N A 2 , N B 1 , N B 2 : Reaction forces at hinges F 1 , F 2 : reaction and friction forces at point of contact between drums 4
3. . T T A W A W N W A , W : Weights T : Tension in cable N : Reaction force at hinge 4. Both blocks slide on a surface with friction (include FBDs of pulleys) T T A F B T T F W A W B N A N B W A , W B : Weights N A , N B : Surface normal forces T : Tension in Cable F : Force of pulley attached to block B 5

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5. .
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final_sol - ME 16 Spring 2009 Final Instructions 1 Do not...

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