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Exam 1 Solution(F07)

Exam 1 Solution(F07) - Name EOLUTIOMÂ ME 270 Fall 2007...

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Unformatted text preview: Name EOLUTIOM» ME 270 - Fall 2007 Examination No. 1 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. Please circle your instructor’s name and section: Jones Nauman Murphy Nauman 9:30-10:20 11:30-12:20 9:00—10:15 , 2:30-3:20 Problem 1 Problem 2 Problem 3 Total Name SOLUT/DM ME 270 - Fall 2007 Examination No. 1 1a. Given: The tensile forces in wires AB, AC, and AD are 20, 25, and 30 kN, respectively. Find: Write the force in wire AB pulling on point A as a vector. (5 points) Name éoLuTzoM 1b. Given: Let FA = (i + 5j — 3k) N and rAB = (4i —j +7k) m. Find: Determine the scalar component Of FA in the direction of rAB. (5 points) B Z Projection: - Z . r7/ N Name 50L 0T! o I\/ 1c. Given: A socket wrench is used to loosen a screw. A 120 N horizontal force is applied to the handle as shown below. Find: Determine the moment this force creates about point A. Write your answer in vector form. (5 points) Name Souffle/4 1d. Given: Two force-moment systems. Find: Determine whether or not the two systems are e uivalent. 5 ' W Please circle the correct answer: @ Name 5oLuT/ 0M ME 270 - Fall 2007 Examination No. 1 2. Given: A 200 lbs. crate rests on the 50 lbs. pickup tailgate. The center of gravity of the tailgate is G1 and the center of gravity of the crate is G2. Find: Calculate the tension T in each of the two restraining cables, one of which is shown. In addition, calculate the reactions at point 0. (20 points) Mo: 0 = \Nz(14§+w,(a.53 ' -Zx+eT ““9 “225) Name SOLUTION ME 270 - Fall 2007 Examination No. 1 3. Given: The roof truss show below has a pin support at A and a roller support at G. Find: Calculate the reactions at A and G. (6 points) Locate any zero force members. (2 points) Determine the load carried by member D]. (11 points) State whether it is in tension or in compression. (1 point) Note: A free body diagram must accompany each equilibrium equation used in your analysis. In addition, please note that it may require multiple free body diagrams to solve this problem. ' 6 kip lb) Name §OLUTIOM ZQ‘VO EN‘CE, AAeJ/‘Ate/VS : $814 ) EL. {‘4 jam/#3 3 If: SEEM" F F FL ' 3);. E F - E—K 2'5. :2) 85 [<1P5 Lg L0 + L0, ,L L0, f 5 : 515851<yps © Cg .4316? Ex: Em (ENWLW F13 flier-3K x ...
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