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Exam-1-Solutions-for-all-problems

# Exam-1-Solutions-for-all-problems - So IJ Na me ME 270 Fall...

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N ame 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.:/ Gto -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. "dE .J.. 'I~) t. ~ .•.r c..- -., o.-.ll ~ w+ '-' 2.Q:o uT. ~ T: ::.i W "l Sf 7' a ~ z.. 6 = CJ = >'78.o? ~: f;CJ h ~ z. 78£ :- ~D vd.. cit:..S 4"" = ~ / ~ - 1;6=0 LJL '5t: liE j ,4~ = GJ y I c..f~ 1 I '::) I - -- / / Answers: a. z 1- I 'T i T 0IO 50 ----i-----------~ I C I (J. A I ~ ._-_._._ . ...:.._.,. x/ A t 1 a. i /? " "'- b.(R AB )= z...;:.1- 'f.:~..,l Vk, .... , '3 - / '"'-- z...:. .•.. c. (RAe> = ...•...~ <f~ ~ z.k. ,..",., , d(i). Magnitude of the tension in Cable BE= z::W IJ d(ii). Magnitude of the tension in Cable BD= * w i-J e. Reactions at point A: (~V>~ +- i W i 4- W 1:)~ E

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t IF BE-[(-=- "Z- tJ ltT 6 -p11 :.llrJ ~ ~ ~ II ~ -I- Z <:..
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