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2007S_Test1b_sol - translation along their indicated axis...

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EM 306 – Statics TEST 1 Spring 2007 - Landis Name ___________________________________ EID ___________________________________ Unique Number ___________________________ Instructions: Both problems require a correctly drawn and labeled free body diagram. Show all of your work. Place a box around your final answers and include units. Problem 1. The bar is 1-m long, and its weight W acts at its midpoint. The distance b = 0.75-m, and the angle α = 30°. The spring constant is k = 100 N/m, and the spring is unstretched when the bar is vertical. Determine W and the reactions at A . Recall that a linear spring exerts a force F s = k L ! L 0 ( ) , where k is the spring constant, L is the stretched (current) length of the spring, and L 0 is the unstretched length of the spring. (25 points)
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EM 306 – Statics TEST 1 Spring 2007 - Landis Problem 2. The bearings at A , B and C do not exert couples on the bar and do not resist
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Unformatted text preview: translation along their indicated axis. Determine the reactions at the bearings due to the two forces on the bar. (25 points) -/ )pnry ry_ Jat b */u**, ).ul , tr, /=tuo 7-* Fr= L(t-L> f= lW = t5za Lo= ,t l+es. =- l, ZC ,n F5 = t* (t.52-t.z) tq= A* E /f" = An W'E {{5 = z+, IA/ l,z, a=o+ ,t'4, E=O 4r= ZZ.3 l/ il, 0,6 2/(; ---W(aArFrES- Frk* =o r,(= 463A/ AV = bl.g AJ-> @h-C=i?*ntr+-A *-'rf ='? + e= *zqtefu*t * uo?t-o, Q = 6?q - zyosl aeogl -r + 2z *, E u6 J .L ,/-4 ,r--7 '< vo*!o +]o = (3')(ql4) * (zt ss o =r . Ei$' T ; firtri ;r; [email protected],l"ot + (i-l(*,)w lZ 70* SonSO --fAe* ,la- , S r_/ 'T' ?tq 4=g* rz- -l /--il -'/ [email protected] 30q =17 f-n*l % -: FTl, €v 4'1'--1 +v ttT/aftr*o oN 'ilc e=fr{ ro=.? ,tryoN O^ nal Qnr a t-)-tsotu- goh+bw+ 5o4, = -1gbo **otr= o { 4{ = -?nM A" = -l?ooil Cp : -?So p Ctr = loo // 87, = t*- bo = E" = 'Az- loo = Itoo A/ -- Bv...
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