Statics EX1-1 - EGM 2511 Exam 1 Spring 2009 NAME (Last,...

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Unformatted text preview: EGM 2511 Exam 1 Spring 2009 NAME (Last, First) Section: 1576 Or 1578 or 6583 (circle one) SHOW YOUR WORK -- BOX 0R UNDERLINE ANSWERS — FBDs REQUIRED ' Problem 1. (33 pts) Three cables are used to tether a balloon as shown. The balloon exerts an upward vertical force P on point A where the cables are tied. The tension force in cable is knoWn to be 259 N. a) Write unit Vectors RAB, RAG, and LAD in the AB, AC and AD directions. (fractions OK) b) Find direction cosines and direction angles for the line AC. _ c) Calculate the tension force in Cable AC required to keep the system equilibritim. (1) Suppose it is also known that the vertical component of the force in Cable AD is exactly — 461.49 N. What is the force P caused by the balloon? 5.6 m 5.) FM M) ayséw grit-.2 .azérezrx {it ' Q :2 Mstfaijéjm” cps e3: :: Jflm 93—. ‘75"? _ .9 . - 1: "t "a glfi a . . O Cos 9% x $13.. = . $t75é7’x fits Q. 5‘ C55“ .fié z: “+0 A f a...) 55 gazezgflfifiégfif'qms wax-.15 cs ‘fjiN. A) $223 :2 P— may egzzmagémmfie Pmlfl’gl‘z7 «v APB/RM m EGM 2511 Exam 1 Spring 2009 NAME (Last, First) Section: 1576 or 1578 or 6583 (circle one) ‘ ' i 0 SHOW YOUR WORK — BOX OR UNDERLINE ANSWERS—FBDsREQ V I' ' " ' -- Problem 2. (33 pts) The cable AB has tension equal to 540 N. Considering only the force acting at A, a) Find the equivalent force-couple system that would be acting at point C (give answers in standard vector form). As part of your answer, draw your force-couple system as vectors on the original figure. b) Find the magnitude and sign of the component of the moment caused by the force at A about the line from D to C. ' y ‘ a? Ab: aha/q, 4w?) x43: F :21 6W 1.4124 mag. m2? AB 1%; W rat; ' :':'— H126 322+ 285’.é7"3f— 432.7é6k \ fig: «PM; A z ..-... 2 g k 63‘ \/ I 4412.22 283% “9132,? 3 . ~\ A76 =5 -— memos; 4az7e~933430mw 4 . 520: —étqz,., Maegan: 2.322: kNm 53 SE : 4055217”? 3 be: 2.5 fiéc‘: —- "° Mm = in» 57¢ : amass as 4.9;: mm EGM 2511 Exam 1 Spring 2009 NAME (Last, First) Section: 1576 or 1578 or 6583 (circle one) SHOW YOUR WORK — BOX 0R UNDERLINE ANSWERS — FBDs REQUIRE F R E l g S UIL ‘ P OBLEMS ' Problem 3. (33 pts) The lightweight door shown below is suppo ed by a s1ngl:rhz::geé;1¥he hing : has broken and is no longer connected) and the doorstop DE. Doorstop DE is parallel to the yz plane, has negligible weight, and can be considered to have pinned or ball—and—socket connections at D and E. Neglecting the weight of the door and knowing that the applied force vector at C is F = - 20i — 25j - 45 k lb, a) Find the support reaction force at E, and ‘ f b) Find the five support reaction components at (Answers to a) and b) will be in scalar form — do not give vectors as answers). (Hint: For DE, think 3—4-5) y a.) ngj =+ esgaépgpgzzow ) we 714115 ca flit! to.) 25¢: Awsz ,3 Aweigh __ .2 Mg’ =9 + 5x gmamlé’) ta- + 45 (/0>== 0) a» : M55331:- leggy 2F «Ev/)3 ‘— 25 +gig7q.4I/£):0) A33133527g: gig}. I 2 M23 5‘ "t 52- “? iflowig) 32—} a. 25 engage) =0 . La» coat—.m- ~ fit; @410? 45 rgtgwyczwgfip 9 AW gym a; @in EGM 2511 Exam 1 Spring 2009 NAME (Last, First) Section: 1576 or 1578 or 6583 (circle one) SHOW YOUR WORK — BOX OR UNDERLINE ANSWERS ~ FBDs REQUIRE F R E q: I: - A / Mme: WWW - ._ ‘ f. Us Problem 3. (33 pts) The lightweight door shown below is suppo‘ ed by a single A , : - has broken and is no longer connected) and the doorstop DE. Doorstop DE is parallel to the yz plane5 has negligible weight, and can be considered to have pinned or ball—and—sOcket connections at D and V Neglecting the weight of the door and knowing that the applied force Vector at C is.F = — 201 — 25 lb, a) Find the support reaction force at E, and b) Find the five support reaction components at ' (Answers to a) and b) will be in scalar form — do not give vectors as answers). (Hint: For DE, 3~4-5) 51.) amps :«17’5[3é)+5§p£:[3ff)=0 ) DE: 77.4% 4:: Lip, inFf/ifi’wiflgszé-fiéfi' . H ng' = a 5x + gimmwsflo ’ eta/aka) ax: M55382; Mil: m 2F :: A3 —~ 25 +-%(7q,41/3):0) A3: #3335qu ,fléjb. 2- w = -» C; + iflwwfit} fl 2513Mw§200®=0 5 ngmw :: Apfigk ‘ in; Engrt 45 @{rnwfime 3 Ag: 25w; «x w ' any“ ...
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This note was uploaded on 09/06/2011 for the course EGM 2511 taught by Professor Jenkins during the Fall '08 term at University of Florida.

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Statics EX1-1 - EGM 2511 Exam 1 Spring 2009 NAME (Last,...

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