F09_exam02_v4

F09_exam02_v4 - ME 270 – Fall 2009 Examination No 1 Name...

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Unformatted text preview: ME 270 – Fall 2009 Examination No. 1 Name INSTRUCTIONS Begin each problem in the space provided on the examination sheets. If additional space is required, use the yellow paper provided to you. Work on one side of each sheet only, with only one problem on a sheet. Each problem is worth 20 points. Please remember that for you to obtain maximum credit for a problem, it must be clearly presented, i.e. • • • • the coordinate system must be clearly identified. where appropriate, free body diagrams must be drawn. These should be drawn separately from the given figures. units must be clearly stated as part of the answer. you must carefully delineate vector and scalar quantities. If the solution does not follow a logical thought process, it will be assumed in error. When handing in the test, please make sure that all sheets are in the correct sequential order and make sure that your name is at the top of every page that you wish to have graded. Problem 1 ________ Problem 2 ________ Problem 3 ________ Total ____________ ME 270 – Fall 2009 Name Exam No. 2 Problem No. 1 (20 points) Given: A truss is supported at joints J and D, as shown. The length of each strut in the structure is 8 m. Find: For this problem, a) Complete the free body diagram of the structure provided below. (4 points) b) Determine the reactions at points J and D. (4 points) c) Determine the loads carried by member CG, GD and GF using appropriate free body diagrams to motivate your equations. State whether these members are in tension or compression. (12 points) J ME 270 – Fall 2009 Name Exam No. 2 Problem No. 2 (20 points) Given: An ideal (frictionless) pulley A supports block B of mass m. The cable is wrapped over a rough, stationary drum, as shown. Find: For this problem, a) Determine the maximum mass, m, for which the system will remain stationary (10 points) b) Determine the minimum mass, m, for which the system will remain stationary (10 points) μs = 0.25 μs = 0.15 A B ME 270 – Fall 2009 Name Exam No. 2 Problem No. 3a (4 points) Determine the y‐component of the centroid for the region shown below. ME 270 – Fall 2009 Name Exam No. 2 Problem No. 3b (4 points) Determine the x­component of the centroid for the object shown below. ME 270 – Fall 2009 Name Exam No. 2 Problem No. 3c (12 points) Given: The mechanism shown below holds back a column of water with height h = 3 m using a gate pinned at point A. You may assume that the bottom of the gate just touches the ground, but that the ground exerts negligible force on it. The density of water is 1000 kg/m3. Find: For this problem, a) Determine the force that the water exerts on the gate and its location. (4 points) b) Draw a free body diagram of the gate. (4 points) c) Determine the load carried by member BC. (4 points) ...
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