Exam-1-Solutions-for-all-problems

Exam-1-Solutions-for-all-problems - Name So IJ . .......,...

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Unformatted text preview: Name So IJ . ......., ME 270 Fall 2011 Problem #2 (20 points) A uniform rod AB is 6 meters long, weighs 52 N and is in static equilibrium The 52N weight, W, is depicted as acting Yo way along the length of the rod at point C. At point A, a ball and socket is attached to the rod. At point B, two cables (BE and BD) are attached to the rod. Please use the answer box for final answers. You must show ALL work for parts boe to get full credit. a. Draw the free-body diagram of the rod AB (4 points) on the figure provided in the answer box. b. Determine the position vector from A to B (R AB ) (2 points) c. Determine the position vector from A to C (RAcl (2 points) d. Determine the magnitude of the tensions in cables BE and BD (6 points) e. Determine the reactions at A. (6 points, ZM,.:O- c> ;. R ;G xW-+-2.:/ G to-4- ~D) =- e: o-.L ( i ( ;-+- 7d-: ~ ":.J _1= - k: 1;1~1- 2 .. 91 <,/ . .,.- 7 - } , ; '- 0 $ ( , . )-7- I !3D tfO & ( ; ~ C :: Z-<.J ~ Y {;.d'::::-+ {-IfT tlD ';' c.))i +- ( - Z. "d E .J.. 'I~) t. ~ . .r c..- -., o .-.ll ~ w+ '-' 2.Q :o uT . ~ T : ::.i W "l S f 7 ' a ~ z.. 6 = CJ = >'78.o? ~: f;CJ h ~ z. 78 :- ~ D vd.. cit:..S 4"" =~ / ~- 1;6=0 LJL '5t: liEj ,4 ~ = GJ y I c..f~ 1 I '::) I-- - / / Answers: a. z 1- I ' T i T 0IO 5 0----i-----------~ I C I (J. A I ~ ._-_._._ . ...:.._.,. x/ A t 1 a. i /? " "'- b.(R AB )= z...;:.1- 'f.:~..,l Vk,...., '3- / '" '-- z...:. ......
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This note was uploaded on 12/21/2011 for the course ME 270 taught by Professor Murphy during the Fall '08 term at Purdue University-West Lafayette.

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Exam-1-Solutions-for-all-problems - Name So IJ . .......,...

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