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MEEN 221 Exam 1 - MEEN 221 —Fa112007 Exam 1 Dr McVay...

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Unformatted text preview: MEEN 221 —Fa112007 Exam 1 October 11, 2007 Dr. McVay Section: Name: Student Number: By my signature below I pledge I have neither given nor received aid in completing this examination: Signature: "Aggies do not lie, cheat, or steal, nor do they tolerate those who do. " - Aggie Code of Honor This exam consists of Five (5) problems that are egually weighted Some problems have multiple parts. Be sure to carefully read and properly analyze each question that is asked. Do not jump to unfounded conclusions, but also do not overlook or oversimplify problems either. Be sure to show all work, including sketches, Free Body Diagrams , and calculations. and organize your solution procedure as clearly and systematically as possible. Answers must be justified. 5. Work problems in the space provided on the exam sheets. If you need extra space please use the back of the page and indicate continuation of the problem. Work efficiently, neatly, and use pencil. Clearly indicate final answers by enclosing in a "box" or place answer in box if box is provided. Include any and all appropriate units. Answers should have 3 significant figures. No electronic device of any kind, except a hand calculator, is allowed. Do not write your name on any other page of the exam. 5‘ P’Nr‘ NS” 59.0" TOTAL: DAN OWN .323 32>on xon 05 E 225me .89» 083 .283 8: no a.” MSfib?» ES 802 22% :08 mo 5 mama 2: can Um 28 UV $.80 E. a 06 .% Ema 2t osmgflofl .% 0:: mac? woaoohu mm EH 2:. cu mo 25::me a mm: 52: 50253 madam 8.8m 363%: 05 $5 :85 89mg bfimoufimoboofio 2w EB 39: 3:3 02E m 28 < mouonmm 03H €ch; :6 fl 3, 89395 Problem #2 (20 points) Poles AB and EF support a circus high wire and are held vertically by guy wires as shown. The tension in the high wire (BF) is 9 kN. Assume the weight of the wires and the poles can be ignored. Find the forces in the guy wires BC and BD and the force transmitted by the pole AB. Box your answers. .323 EEK/Ba xon 05 E @5335 So» 085 cm ow 6 .fl om¢ @382 mm :3 05 mo 98 2F 25 05 mo 98 2t 3 00 2: 80¢ maniacs on: a Sons 888 805 we EoEoE we a 05 mm “as? G N. mums N 05 Au 6me A 05 3 .mg x 05 Am 05 Sons 00 05 nwsoufi Etsnm 05 888 3 manic“ mm 35 “5% :33 05 mm was? .Btsam 8QO 05 mo 00 05 an Ewto 05 £3» 56% mm mm 88?? BmfiEooo N S .x 2F u— Egm + TEX: + m £39 H E. H33> 8.8.“ on“ 3 Sim $35 a was was 8 #5? ficm¢ 3302 mm :. “om EF 4565 mm N+ souoohw 05 3:0 E 38% we “was: a was was A o .o .58 “Son a an @882 mm NH 3.351 .2039» 05 35:8 3 AS. 98 fl 3 $0“ 95 moi.“ “35.5mm :5 5:3 “35 89m wEEBE mm 053% 8QO BF Amt—mom as M», 80395 Problem # 4 (20 points) Part a) i) Find the equation of the straight line in the figure. ii) Find the location of the y coordinate of the centroid of the shaded area. Note: The value of k in the figure is 1/20 List the answers in the box provided below: Problem #4 Part b) Determine the y-coordinate of the centroid of the following shaded area: Ans: .3203 33>on Non 05 E mBBmSw 59m 8m:— .mEm 5095 2m 33% 2m 35 5va .V 9E0“ «a 080m :oflomou 05 mo 35:09:00 1352, can Hague: 05 ANV Um Mn: 5 88m 05 AC uEEHBov .5505 08me 05 Mom A352“ :3 m 3, E9395 Circular arc L = 2m Quarter circular arc 717‘ L=-— 2 2r 1C:— 7T _2: 11C 7T Semicircular arc L = m xc = T yC=TT‘ Rectangular area A = bh ‘7: _2b xc'1r _h yC-a _bh ‘7 xc_a+b 3 _h yc—E 2H '2 5". CENTROID LOCATIONS FOR A FEW COMMON LINE SEGMENTS AND AREAS Circular sector A = rza x _ 2r sin a C 3a yc = 0 Quadrant of a circle 7112 A“Z’ x A: C 371' :1: yc 371' ...
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