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F08_Exam_1_Solution1

F08_Exam_1_Solution1 - Name Eel trim?“ ME 270 Fall 2008...

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Unformatted text preview: Name Eel trim?“ ME 270 - Fall 2008 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. 0 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: Nauman Nauman Cook Murphy 9:30-10:20 11:30-12:20 2:30-3:20 9:00-10:15 Problem 1 Problem 2 Problem 3 Total 9 Name SoldrcR/x I ma» ,» , ‘ "i*fi‘;t‘l*l““>‘$\1ifll°6‘ ‘ ' 1. Below you will find a figure of a truss attached to the wall by a pin joint at B and a cable that extends from G to A. Make sure you include all the appropriate free body diagrams. _ 2.? ' L7}: |-<—4m—>-|<—4m—>|<—4m—*I 23 9: +0“. 35> 1a. Solve for the forces in the cable AG (6 points). 9 o 1c. Which of the links that you solved for in part (1b) are in tension (T) and which are in compression (C)? Please circle the correct answer for each (3 points). GF ®3r C GD @ or C 2. The tree below has been secured by cables stretching from A to points B, C, and D, respectively. The base of the tree is located at (0, O, 0) m. Z B (0,—1‘5, 0) m, (1.5, 0, 0.25)" m )6 2a. If the force in cable AD is 1,560 N, write out the force in vector form (4 points). Y‘ ; “Dugm-LE-t “A; _. (ml 4» a ’ ~ 0.233: +0:é(97§ 420(97):. ARI); [Igl/W Name So I firm, " ‘3' 5» ts: WamwwwaMs» ~ 2b. Determine the component of the force in the direction of cab! 6 points). Flvs‘lr / (:le TZ‘Q Wat Wei-or @ _4g :93: (o’L\ «mus _)ME ”943 7 (igbgrv-x ‘— 5’ng : 0L: “ 0,331‘ '— alsgylé V L » m Component: Em) 20. What moment does the force in AD exert about the base of the tree (5 points)? - r [1— ”DAXEAD - m} x<~§1asflp 4— “WC/"A; — /0“0NE\ ‘- ’;L§IC\SN‘M\ ’3 (qu0 NM” 2d. What is the angle between cables AD artfi points)? AB Co$9 : e 9, AM); “Ac P , 4g 6%,”; :, (03’, (€45 ' ’433 Name a mfi’iflwwa‘ '7 , A» » 3. The semi-circular plate has a radius of 40 cm. The plate weighs 100 N with the center of gravity at ((1, 0,0). k H??? Ball and socket TOO/m we; 22> e *6’“ ‘7’0 cm x no: mm A 14 saw \ 1/) $170M J, 7;“) (094) (.(0969_ ' 0_ 3a. First, draw a free body diagram of the semi—circular plate, assuming the connection at C is a ball—and—socket joint (6 points). Name 59 l mm WM» A s > ; w as «We ,, ,, 3b. Write out the equations of equilibrium and determine the tensile forces in cables AD and DB. Please write your answers in vector form (8 points). if "i Q i’i/c :2 IAD: Ttbéfib /~—-~/ : am 0; ”Abs/w ‘ _ T ( 84 A: X (441$ K1): oSqf cos \ .. 1—5/3 1 ' 785 (0&5 s/r‘élé 4 7155 S/néf + Ewing x252 * 7L T71> (09:14 «56“ \ "yaw 4— wwg y (—mcogs sac; wgbmt W»; 7S +LIOLM§ X (739(08éfl0s9 — TAbéc9¢(os§\‘f~ :Q E: aJw +7 #Ocm ((177453:qu 6/2169 bx.) 30. Calculate the reactions at the ball and socket joint (6 points). {.520 1:1 6X - QTAD 4°ng éan =0 :5 Cx 1‘ 37% (0945 37149 :1: CUB~100N ‘l Qkaér/Mt) 3 0 Reactions: C, : ”1.1413 CV) ‘— HZJ“ N (2" an) ...
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