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Summer06_Exam_1_soln

# Summer06_Exam_1_soln - “me Some so I HE 270 — Summer...

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Unformatted text preview: “me Some; so I HE 270 — Summer 2006 Examination No. 1 PROBLEM N0. 1 Given: Someone is trying to break off a tree branch as show in the figure below. Looks a little dangerous to THE. This should only be done by a professional. Find: Assuming that the magnitude of the moment necessary to break the branch is {r 250 thr what force is re uireci to break the branch? What is the component of the mornth about {he y-aatis? *4" H :3 —=- iﬁfoi — in 1X- Fﬁﬂ J, *1 [EA :ﬁme+i§MEi—iﬂmkl i: A H. a. ’ﬁ' r ﬁg; (3,3a—DE‘31L *(ﬁgﬂ fig->145] ., — mi? + t [l i\ “I :4 limit; +Hg‘mT-Ilmkf I; 1: t 90 \k QE\ {2 m .2:- 1"" ﬁrm. 7: HF’ :Qligb+ﬂ.‘sif‘ij - . '-. :3 1 Hi i. '. .' ' . Ham 1E3, £9,930 LL '. w- ” - DiWﬁErm [Sir-vi far as I .s 1 i: a 1““ i it " 'i i r [a i 5.5.; It“; LE Is as FarooiFas d _ o-i 03 ﬂ I1) F + #- (ﬂ Dcnf\mrﬂﬁ __. , m ::(—r.'1s®eﬁa “JCESES HE _ 1?:st = (i.‘il-IHE\ male (sis-sum “t (“'mq“ iii '1: : 1m :2 iglst F33 HEB 1.‘i.'%‘is'e-= Name 36" LL.1” 5,, kn ME 270 - Summer 2006 Examination No. 1 PROBLEM NO. 2 Given: The semi—circular plate has a radius of 40 cm. The plate weighs 100 N with the center of gravity at (d, 0, 0). Find: First, draw a free body diagram of the semi-circular plate, assuming the connection at C is a ball—and—socket joint. Then calculate the forces at C and the tensions in the cables, AD and BD. & :1 W? fr? [M Ball and socket “‘13. A ' ' '90 (“A . 4r, "‘ “5 1: thql' —-"> tad/“Ht dud uu'i'i' \ﬁg‘izurg (Mr-Apavwélt'rﬁ +0 m Rho" “a 71x? (alabﬁt 4‘ —"~ A _ HS“ M Le PHD“; -_§ch\L +LfOCW‘n lb C Em : JED" 7s \$1: 1‘— 45"“): 49-7073 b A n Heal MW .e mm. 1'. w A .. .h A 0'70"?"4—0ﬂC98F— stb __ CNS-‘30 L- + . l f .- M We‘ +Aouprf> .33 Cy‘ - 0.5-?OF‘AD.— 0.530 my: - 0 Y“)- j‘ 1 Cd] -1“; + 0.107 ab +0.707Fmio A C, _' no kl» % + Mes—r30 —o.%&{% 513:1”:9 Name ME 270 - Summer 2006 Examination No. 1 PROBLEM NO. 3 Given: Below is a Warren Bridge Truss. The total vertical height of the bridge is 10 feet and each triangle has a base of length, L = 8ft. Find: Determine the load carried by members DE DE, and EG. State whether these members are in tension or in compression. Note: A free body diagram must accompany each equilibrium equation used in your analysis. 800 ibS. 400 ibs. T? g 361 + a ‘3 9o 1L _ _ a f- F ’: lie—7 5. £1 : Z P v pﬂi I 1!: 61 r {a Makm {3 “355% M‘ 5‘ ’i % 3 {3‘7 I‘GUIﬂ‘ aﬁ‘ Fain {a ...
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