#### Hmwk 8 solutions F08

Course: EE 445, Spring 2008

School: Montana

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?'?l I ilu4+s ir", ,4-tr- " ).-/ - 3.35 The landing gear ofan airplane can be idealized as the spring-mass-dampersystem show Fig. 3.45. If the runway surface is described y(t) : )o cos crlt, determine the values of /r c that limit the amplitude of vibration of the airplane (.r) to 0.1 m. Assume m : 2W fo : 0.2 m, and ro : 157.08rad/s. Housing with strut and (a) I '(r) FIGURE 3.45 Modelingof...

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?'?l I ilu4+s ir", ,4-tr- " ).-/ - 3.35 The landing gear ofan airplane can be idealized as the spring-mass-dampersystem show Fig. 3.45. If the runway surface is described y(t) : )o cos crlt, determine the values of /r c that limit the amplitude of vibration of the airplane (.r) to 0.1 m. Assume m : 2W fo : 0.2 m, and ro : 157.08rad/s. Housing with strut and (a) I '(r) FIGURE 3.45 Modelingof landinggear. / r ^ ) 1 - 4 = /v / 4 J O f = ?4 l.t^ *z)n: /{7. oE - l z , E 3 - r - 1+ ' firs& ( Az' ag s - ) A = sr1/raL.Zeoo/i : iz{7 hP/a1 ffi= 1'> - & ^Y (| rolo+ / ft ) mef.lo, ' T= t" s o' z- j T ='s't'{, (',')'?' aZ . +. <r%) _z = t +(zfrJ -t) . 2 va . ."- /, " tt/N' \4r?) | 7. ? , /, t - ( l'- r ' ) -,.8' =a T J Zr tM{ ++{ /4-) 4= ) , j t "& " ' r ) ? )= r*f ltl . / - ( t - z ' , s 2 )/o,r-) O,fJ* * | D, fb / /" :: !l! !'J I lU :: -:i il ,if co coo iaato i" ({ LL Y14^4L/44o' r:= 2.5 X:= 0.1 Y:= 0.2 t .:_ .J (.1i{ (\ (! c.l e{ ;.., _.\ ''r I' Ei I.\ X -=0.5 Y Guess z:= 0.9 Given | + (2.2.r)2 = 0.5 (r-?)'+(2.2.r)2 Find(z) = 0.561 C= ^ ? ) C" = - a J ZrntJn = o,rt/(z)(hne ? /fa) //Le ol, 4)kz,a t r'') 4-"* = t 4 a . 1krv s I 'llI __{___ I &ti w{4-f5 3.41 A single-story building frame is subjected to a harmonic ground acceleration, as shown in Fig. 3.50. Find the steady-statemotion of the floor (mass rn). \$*r(t) :1 r.| tLl = ) : (.i = .4 aD coc, ra Q.j .-N<a*-r tt llt lJ L.) i[] l-,,1 -* i r(t) = A cos at FIGURE 3.50 I i", (l:ri.-: rqi <-'l W d* 4,tol =Xr/+) :.*aosk)* d- / r.. 4 4k)* /J '7'ut/* = e ) srautr y 1, *{- k)=f pU)/{=-4hsa',x+(,t f (r, = o *-*_ t,, #(z i (r= &. 2 , iut =4, = C, ,ltd- # fi-as*t ) nl.+14(Y-&J-o ZFt=*i t -l'(r'l)=^ii h -u - 4 . ) ry { . / U vrp I x a+) 9 Px ?{+) <f Jf,(a { 4t 7 = x - 7 Z ' x * J : . i = i * j ,&* I 1t{4 ): fi C"S(att + mA/A h n i +- =-,*,i -- 1ry &s eot + l<z 11 6) 4te{ z =n/A_ -= W:T ,') V6' ' xLt) vk) + iL ct) As(t tt d) 1-- yv* A/as-z . A (t-e"s-e) / rZ ) 4=',- Md 4t' s 3.d?- lid )rq one of the tail rotor brades a helicopter an of has unbaranced mass rr : 0.5 kg at a . : , of distance e : 0.15m from the axisoi rotation,as of shownin Fig. 3.29.The tair section ti hasa lengthof 4 m, a mass 240kg,a flexural of stitrners( EI) of 2.5 MN _ m2,and a dampingratio of 0.15.The massof the tair rotor i brades, includingtheir drive system, i . , is 20 kg' Determinethe forcedresponse the of T tail section when the bladesrotate at 1 1500rpm. ttl v, ta EEU gEE TEI r,! r^ u! ooo utoo -6lt ttt\t ot ot ol (\l c{ ol t-< Etr )o t-t \-{ zc YT\'^&/'s bV fa"; o,{ o, /f,^ Ho = A.{ eh b = ln(rs->oK)+ r' GoJ = /-r7. / s-' T= f,.rMx) -r**IG , f= o, /.( 3(),{xtac N,*-) L' --r /4 13 ./ 4 4 ,- tl /4ll| tn ) k =t # Wr: fr+ * = //1, t6s g ,6 o,23 M A : 2-e + a,J3 (r+) h_ = ){,a Hn= L^ r- I t-1. aa t --/-de 7s rra\ t - 3 q , +I . r - ' /.{ -ffi7. t = 3'7s ./: -== b^ ME *v3 3,+3 (/.-, t- 1 I J 1r., = T /tL-. ut|a|a EEg EUU .f,n (ut +-f ) T_ t" ;z IIT r^ u! r^ rriCO ooo -6lrl tAst e{(\|c{ c{ (\l c{ = 6.iU(o,^1 l{,t r, rrffi"-m \$, G, / ) ' .I? , ^/ \L, V (t - 3 t d ' ) ' " , { J 1 X o ,(,}' .Jf/ ) ' t T-E \f( tl.f. )o = 0,00/Dl -# k -= /,ob tr+tr, / t 4r, J el t t-P JT { = L-\^ )_ rz. < (o_., t I e {o,,r)(:" rf) - ( s " tr J ' j o" oEo3 t'*l 4- frr -f,4f 4'-* '^r{ i , 5.49 A reciprocating engine of fiiass D?1is mounted on a fixed-fxed beam of length l, width a, thickness r, andYoung's modulus E, as shown in Fig. 5.45. A spring-masssystem (k2, m) is from the beam as indicated in the figure. Find the relation between m2and k2that suspended : lo cos arf, is leads to no steady-statevibration of the beam when a harmonic force, F1() developed in the engine during its operation.3 4(t) = Focost'rr r.i | --2-__-- | r rz(Dr z- ,l 5.45 FIGURE 3The spring-mass system (kz, mz) added to make the amplitude of the first mass zero is known as a absorber." A detailed discussion of vibration absorbers is given in Section 9 ' 1I . "vibration ftt, T x/ 5?r \, f h'*' ["]-r, Xz (o S,', ost tlnr"-''' x.\x, fee, tf"T v W I / , ) , < - r1u = v { t r.r X . , : R . ( X r - K., \) - h , x , I, i '2. la {uut nt | r = h/1, tr '.|r I f. , L rh_= fr.-X": - ka(xrx, ) -- ArXz r. ', { f*.ii, "'''' * ({.* h,)x,- L.x, -^ 4o t,n ut 'h.l,+ k.x. = o n +(-f 4g*.-^t-.r{- t+f \(4^,o) : l{:j"{''.n^"-l [ :,]&"1-f'-:: -t. 1". > lc t X, =Et :a:_a :.4 \.) u) -OC jaQa r-i! :ar < :'r:-j |1 Il iJ rr i i ( !t. tt* ) Ju A ,*4 c vI ,ro I l | i h,rLr-H,^Z i\' Ctr al -L, ' ' , l , I i :l: i: 1.s \.I = ),'-^,.,1 [0,'l 8.1 =fI,,[,-^,u]L, -^ru') *(Lr) 1 ; L i' ) D= lr'' I" l) " -!' i Ly:'l -,(*,^.u') f,, (t r-^. u') D =-ot -) ' , kt, -Lt - a > L.= 1^)t= H. d' h' hL Ot- f,{tt 5.52 The rrrass//11of...

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Montana - EE - 445
c4 X64k T4 X 6 Cbf x E X X C6 4 c Cb 2` Cbf w X8 Gb b 4 r 757@U535h@5eX5F5gew5hFhh5@f&quot;e lo e4 Xb cb 4 2G 4jb g46 bG 4 E T X E G f5hrew@sFIghl{iiWe`3GH`nu eGb b E w4Y c d X44 `8 2 2 E 2 T c4 X64k T4 X 4 2G 6 Q Q Xb e c 6b Q Xb e C6x 6 Cbf E w b
Montana - EE - 445
Montana - EE - 447
EE 447 Assignment 1: Yikun Huangs problem 1. A base station antenna with a 9 dBd gain is supplied with 10W. What is the effective isotropic radiated power? A. EIRP = GtxPt = (9+2.15) +10dBW= 21.15dBW=130.3Watts2. Calculate the mean signal strength
Montana - EE - 475
Fall 2008 Course Plan for EE 475, Hardware and Software Engineering for Embedded SystemsCourse Catalog Description for EE475: 3 cr. LEC 2 LAB 1, PREREQUISITE EE371 and CS201. Topics in embedded system design, real time operating systems, high level
Montana - EE - 543
EE543ProblemSet4 DueMonday,October20,2003 1. SupposeaworkstationhasanI/Obusspeedof1Gbpsandamemorybandwidth of2Gbps.AssumingDMAinandoutofthemainmemory,howmanynetwork interfacesto45Mbpslinkscoldaswitchbasedonthisworkstationhandle?2. Supposeaswitchcan
Montana - EE - 548
EE 548 Advanced Topics in Communications Systems Supplemental Reading Material Spring 2006 Communications Systems Principles L. W. Couch II, Digital and Analog Communications Systems, 6th edition, Prentice Hall, 2001. Communications system theory, a
Montana - EE - 548
EE548 ADVANCED TOPICS IN COMMUNICATIONS SYSTEMS Spring, 2004 3 credit seminar Instructor: Richard Wolff rwolff@montana.edu PREREQUISITE: EE 543 recommended Reading and discussion of original source material on advanced communications systems topics
Montana - EE - 548
EE548 ADVANCED TOPICS IN COMMUNICATIONS SYSTEMS Spring, 2006 3 credit seminar Instructor: Richard Wolff rwolff@montana.edu PREREQUISITE: EE 543 recommended Reading, discussion and projects using original source material on advanced communications sy
Montana - EM - 253
EM 253 Glossary Checklist to be used as a learning aid see text for definitions and use this as a checklist- Internal Force System Forces and Moments acting on a -internal surface - Distribution of Force on a internal surface/cut - Axial (directi
Montana - PHYS - 461
PHYS 461/516, Fall 2003 Lab 2: Polarization and Optical IsolatorIn this lab, we will investigate (1) polarization of laser light and (2) the Faraday isolator and its alignment. This lab will take 2 weeks. Equipment list: (1) (2) (3) (4) (5) (6) (7)
Montana - PHYS - 461
Montana - ENGR - 480
NAME: TYPE: SIZE:Cigarette data for an introduction to multiple regression A sample of 25 brands of cigarettes 25 observations, 5 variablesDESCRIPTIVE ABSTRACT: Measurements of weight and tar, nicotine, and carbon monoxide content are given for 2
Montana - POLS - 441
Political Science 441: International Human RightsDr. Franke Wilmer 2-145 Wilson Hall Fall 2004 Email: franke@montana.edu Office Hours: 9:3010:30 TuTh and by appointmentOverview Politics is about interests, and ethics. The contentiousness of these
Montana - POLS - 443
Dr. Linda M. Young POLS 443 Fall 2006 International Political Economy Tuesday &amp;Thursday 11-12:15 1115 Wilson Office: 2-134 Wilson Phone: 994 -5604 Email: lmyoung@montana.eduInternational political economy integrates perspectives from political scie
Montana - PSPP - 226
PSPP 226 Computer Graphics Spring 3 credits Lab 3 Prerequisite: ME 116 or TE 230 and PSPP 225 Understanding of the opportunities offered by computer-based modeling technologies; exploring software common to the profession of landscape architecture in
Montana - PSPP - 231
PSPP 231 Woody Ornamentals Fall 3 credits Lecture 1, Lab 2 Requisite: BIOL 101 (may be used as a corequisite) Identification characteristics, adaptations and uses of coniferous trees, deciduous trees, coniferous shrubs, deciduous shrubs, and woody vi
Montana - PSPP - 250
PSPP 250 Seed Identification Spring 4 credits Lecture 2, Lab 2 Prerequisite: BIOL 101 Identification of conifers, trees and shrubs, and herbaceous seed plants; determination by use of manuals; vocabulary, classification and nomenclature; preparation
Montana - PSPP - 331
PSPP 331 Planting Design Fall 3 credits Lecture 1, Studio 2 Prerequisite: PSPP 231 (may be taken as a Corequisite) Graphics communication skills; landscape trends and styles; landscape design principles; and planting design for engineering, architect
Montana - PSY - 221
Montana - ESCI - 500
500 SEMINAR REQUESTExtended University, Office of Continuing EducationRubric/Course # Title Course Dates500Meeting Days &amp; TimesIf course work is due after actual class dates, indicate due date Location Method of Delivery: describe) Instruct
Montana - ESCI - 600
600 GRADUATE SEMINAR REQUEST Extended University, Office of Continuing EducationRubric/Course # Title Course Dates Meeting Days &amp; Times600If course work is due after actual class dates, indicate due date Location Method of Delivery: Instructor
Montana - F&WL - 502
Montana - F&WL - 502
F&amp;WL 502 Lab 8 Introduction to Using Simulations in Designing Studies In the first part of this weeks lab youll see how to conduct simulations using Program CAPTURE from within Program MARK for capture-recapture data from closed populations. This la
Montana - STAT - 217
CODE 0101 0102 0103 0104 0105 0106 0107 0108 0109 0201 0202 0203 0204 0205 0206 0207 0208 0209 0301 0302 0303 0304 0305 0306 0307 0308 0309 0310 0401 0402 0403 0404 0405 0406 0407 0408 0501 0502 0503 0504 0505 0506 0507 0508 0509 0601 0602 0603 0604
Montana - STAT - 217
ID 14069 14053 14025 14016 14005 14075 14082 14097 14117 14133 14101 14108 14164 14154 14141 24005 24026 24094 24108 24102 24082 34017 34020 24136 24122 24115 34012 34006 24146 24138 14015 14006 14024 14052 14062 14047 14074 14083 14094 14124 24019 2
Montana - STAT - 217
CKG HOLES PROTUS CONTOUR CELLSIZE CELLUNIF SURF_RO LOOSE FIRM FRACT COH CHEW MOLAR MOUTH CARMEL AROMA SWEET SALTY VAN SOUR BITTER SPG W T RATIO INSTRON L A B 13.8 2.2 3.4 5.0 5.0 12.8 12.5 10.8 7.0 1.4 7.1 12.2 6.1 1.2 6.5 10.5 8.5 3.5 2.0 0.5 1.8 1.
Montana - STAT - 217
FDA_ID COUNTRY 2939 BEL 0.298 2940 BEL 0.288 2962 BEL 0.421 2984 BEL 0.434 4395 BEL 0.578 4396 BEL 0.575 4427 BEL 0.811 4428 BEL 0.794 159 LSP 0.181 193 LSP 0.733 228 LSP 0.514 261 LSP 0.504 339 LSP 0.744 340 LSP 0.771 367 LSP 0.453 368 LSP 0.445 476
Montana - STAT - 401
STATISTICS 401: FALL, 2004 STATISTICS FOR RESEARCHERS Goal: Prepare researchers to take 400 level methods courses (e.g., multiple regression, multivariate methods, experimental design, sampling, graphical techniques, non-parametric methods, logistic
Montana - STAT - 401
'x1' .2 .4 .2 .4 .2 .4 .2 .4 .2 .4 .2 .4 .2 .4 .2 .4 .1 .5 .3 .3 .3 .3 .3 .3 .3 .3 .3 .3 .3 .3 .3'x2' .2 .2 .4 .4 .2 .2 .4 .4 .2 .2 .4 .4 .2 .2 .4 .4 .3 .3 .1 .5 .3 .3 .3 .3 .3 .3 .3 .3 .3 .3 .3'x3' 1.5 1.5 1.5 1.5 3.5 3.5 3.5 3.5 1.5 1.5 1.5 1.5
Montana - STAT - 401
'Time' 24 20 16 32 14 22 2 12 24 6 10 20 8 16 12 24 14 20 18 14 16 18 20 22 24 26 28 18 14 10 12 24 6 12 18 16 34 18 20 22 24 26 18 2 18 12 12 8 24 10 14 16 22 24 22 20 2428 20 22 26 20 6 14 16 18 24 18 16 6 16 10 14 18 24 22 28 24 30 34 26 24 22 2
Montana - STAT - 410
STAT 410: Applied Multiple Regression, Fall 2006(3 cr.)Dr. Moe Sepehrifar Office: 2-196 Wilson Phone: 994-3322 Class Time: 12:00pm-12:50pm MWF Room: 1-132 Wilson Office Hours: MWF 1:00p-2:00pm or by appointment Email: sepehrifar@math.montana.edu