iV1 Et:.-N 3 4 L\ Fad\ CZOI/ A ~yJro.,vJ;c. r~m , C)__oo fi'\M ·~n J.,·c:met-e.s and I o ~ m lon1' 'f'!'Ove.s uJ~'"' o 1 \7 w 1 th 111 o. co·ti c{3(\tr·,c. c. y 1, 0de...r 'aDo" a ('fl '('(\ '"' d~~meTef' orx:l +he O.f\f\u \arC. \~rof\ce Is ~t\ led w ~th o~l o-\ 6 p~c i~,·c. g rav,,\-y 0, ~S'.o.Y'ld 1-<',(\eM~+~C. V; ~co~•:.n;, Dt L\-oo. ff\ffi/S. Wt\o.-r 1s ~e. v, scotAS ~Drce res.sr'~ +he. fV\ D-\-ton Lt.! he..f', the ro.M rVlO \)e.$ (:).t ) Q.O fY\VV\/S ~ V A r ~ " V-= 1 ao ~;~ L ( where. K=IOOr'I\M=~/Qt L: ll>d-.m A r-eo_ = a-n R L-= t1 \\ ( o () 1 My, D J... M) = o o ~L\ 1( 'M ~ Fl!A'\c\ Jey,s:ty =OoB5"A1n=-0/65(9,~q K~Y'fl~): ~4~ ~/M3 Qhso\ ut-e. V\ scos:-ry -:: (a\ e..f\S ;;-y)( K ~~e. mo.+~<. v \ scos. rty \ ~ "'_,1>..) : (?, 1.\9 ~M3) !.\DO "'::-..(to~M) \ 0. 3j"/ft, ~ dL.f /V L \A -0-O(j l~rt"/..s = } "'00' I Q_ ~ 'V ~ \ Oo\ '1-./03 rY\ 0<.. / ~1\11 EEN 3 L.\ L.\ FC\) \ ~o1o De-t-erm,ne the \esu\\af\T ~rce onJ \'-t-s Lne.. o~ ac..t1on di.te. +q the uJC{t~ o r1ly on tile C u rveJ Sur~oce Name: Op01l B-oo-I< _ _;_C_I_os:=:~J-/\J__,.o-te.s __ _ y (\mJo) X. 0o-t-e ts .3 Wl waole.. 0..-=-o/MM EEN 3L\L\ Fa)\ d_QIO Na rv"e: OpBf) i3-oo_i_< J--Cl_o.s=_o~J-f\J-..,.-o_fe.s __ _ De-t-er-vn,ne the \esuh-af\T ~\i:_e onJ ,··'is 1\ne-o~: act,on :~..\t.H'7:.. +o the Ll) c.tt··2{-t) r1l y iJr. C U f'veet ~\J ~~ So I'" . St" Tefn enT Mea""' ~ "'""CJ 11:t te... ~ 1 CA bso\tA \e. '?ressv re o~ UJo."i"U"' ("J\R1 Su~ce rt cont-C(cr.so " dA= -dy d~ C, + dxc\~~ P~:: ~~~~?, 9.~\ %,_ SPa~ ~M -=-q~00 ~/Y\'-91t:Q ol "P :: (-.f' ~~ :::\ / ~ ''!.'~ k l'a/rv' y J. '-.) ?o:ttf\ ::: \0 \ \(, r"Q ? Y \ ~o.ta. ·,s 3M w\de.. Pctt"m-~:: -~<J(~VV\-'1) q:. ~/m "?:. ra-\"m ;. _/}~ ( 9-M-"f) f,e -~r~t"'+_!'()( ~rn-y)(-dyd~) ~ z~" [ P~tM y +f~( 9_rn.y-~~~"' 0 D 0 = I D I KP ( 3m':(~t"\J + q, '6 -~t() ( 1.\M "l.-am1-)(3 m J yY) = Coo (g KN + ~~~ 1<1\J == Cofol.\-. ~ \\ N """ ,., 3"') 1. 4 l't:>, ~2M v ·r"' ~-)0 )0 y [ Po.tfY\·.fdc~""-y'X-dyJ~) = ~ t l B.tw-~ 'fac'"'"'r-fl -:::: {oO(o i-<.N·ft1 1-3't, d... KrJ •«l =-~LIS'", a. K.v • rn ~ \! 1-= 'fFrx) 1-rx -= 0 o 91 M I -;,n1 '"" 3M IIV\ 1--r y ~ - \ \ ? "'t-"' + P'l (d. rn-y) cl. )( d t -=--2:. j f 'P cil;o X j~;<J( -om(x ') -Q~ 'J. o 0 ./ t1 4 d x '-0 L \J Jo "' -3 •{ 1"' lo 1 Kl'o. + 'l.'iSI \i~ ( 'J.M •-~ (~':(I"'~ TI = -3•{to 1 ~ •13J ~;;r')~ -3L\-~ v.N 3m '"" I M ~'f·y~ -~ t X~ lbt"'•.fV(Qn'\ -qr1Jxd:e = -l t"' {?a;,. ~t~ ( "J.rn ~L-~ x~~D "=' -3•{ 1~1 I<N d~l ~ (1M1.-~fli'l-3onii~KtJ + 9.'~~ K~: -/(,!, KN•M l-= '1-' ~1J :. o, 4 g 5'" rv'\ r:,,,Quiz 2 Fall 2011 kPa = 1 000· Pa 2 2 y(x) := -·x m D := y( 1·m) D = 2m kg p:= 999·-3 m m g:= 9.81·-2 sec Patm := 101·kPa Pabs(y) := Patm + p·g·(D-y) kN = lOOO·N f3·m fD Frx :=-Pabs(y)·(-1) dydz f3·m fD yFrx :=-yPabs(y)·(-1) dydz O·m O·m Frx = 664.801 kN yFrx = 645.201 kN·m O·m O·m . yFrx ypnme:= --Frx yprime = 0.971 m f3·mfl·m Fry:= -Pabs(y(x)) dxdz f3·m fl·m xFry := -x·Pabs(y(x)) dxdz O·m O·m Fry= -342.201 kN xFry = -166.2kN·m O·m O·m . xFry xpnme:= --Fry xprime = 0.486 mfV1 EEl { -3 Li 1-1 FCl 'I\ ~o I\ Noylfie·, Ope,, ~::::.~,.,.k -C~/-os_t9...,.J-;-rJo-+==--s---Wa-b-3e.t } V= 10~ ~ f\:rJ = I c..."-fV1 E75 1'"1' 3 '-i W ra \\ d-0 ll OJ ~ _.._---.~-Wa"\er :Je-t -> /"; V= JOtrt/s ~ '• (' \ {-; A .s ~, v ,y\ e \) :.:..;;; 'f"'20 f 1 ~ T-:?1 \e. ;;.) IJJ" ~r-"" proj~"' tieS (;) P-= lfh>l eve• 1wheoe. 3) A( A I= A'--0 )j = rr,,t:t ~ '1'1q 11j/m;, Lt) N~\ect \:JDdz: ~orce z f = Fs .y: )f~~~ .t ~Ali-+ ~\ v vxK Cki CS X. .~,·, f<J(, =-~ ~ \)I (~/;.. v·;~A J :; -r.; \j \'( ,~, l / ./ ·t ('·' Cor~t. A, '• R"J = s~ \j,_ [f• \)f\f:\(..) :: 7 Ve~A?. ""L. .. if" )K f A\1-~ K r v./A ~o : "'-I ·\ -/-" V ri.. -t· / I t 'I . (~ cs b>t j', =j<,_ <t A I "0 A,_ So 'J '" v, ' vdgt RK= f 999 '<u,'y_ IO"'Js)'-r ~y == Ci~r:~ I( -1..\ \ \0 M2) = 9:\~ IJ(:;)LA 1?: L\ M S f\.j 2 Lf 1-t /VavY1 C ~ ( h 4 F-; : \ c):) I i 0\xtc, ~o~A\) C \v::J~~Ies --A I 0 <:_ Ke -r-rrow e{ eJ. r 0. ce 6::1. ~. I n IT •c:d ly qcce(ejl::{tes qt a..o 'fV\/£7_, :r:~ .-\k veh\c.-\e we~'YP <Qoo ~ w r\a-:: Must-jAe \)e \ocx:..-J o!\ ~e loc..k~tJ ~ha·Jst 'o)£ i ~ +~e. p{\:1:..C.. ~\ow \-nt-e o't ~e r?<:....Ket \S \ 0 v<o Is~ L I sT o.\\ ass~m[.:k10ns or\cX d~w the COr1i\ol vollAme... yo,) u~e.d... ::L-~ the. r:-o c ket fUJI.S .s~Jr st-are.. w~a+ , s J,e acce-lc-rot-raf/ o-\ ~e cor-ot:. ..S .see?'nds q~rer ~e \oc.ket s-ra.~ ~IJ y~x:~o-~~o'r-'cl+~~~,? ~J}hf+J5 ~~f~3ur 1 , . _ I i.o oo o ~ '(VI /s "l. u~ = looo IM/5 I <.o \<~js i>-s-sec Y¥\ ·= ~o-s;-(10) = 7 ')0 ~ 7'ao kJ C\ ~ {loOO"'J-.)(it, l<uiJ q = ( IDCJO ~"A; J( llo i<' ~ft J _ = d ;)~>;; 'J._ m_h 2 /~0 ~~ A%vW~e 1) :Je_;-ve \oc' t j f'o \' \ e_ u{); \orvV) a.) ~ ~~\-t'V\ e_vruy t<J~ere. 3 J ~ ~~ Vef t1 Cor\ ~ 1 f(?L ;-IOV\ .. '-1) 'T" -1-if fJ em r J, ,,,t-ee; <':o+<> ,d y Stat€ or 0-x.~ 1 r11ass , ~s;~·Jc ~-1if"_-_o___ _ _ ~ l U¢ : <,. -, ..----.-, JP\ \_ ~ I~ ..-l-----. i ~ ~ M 0MSE;y 3LiL\ FQ\\ CJ"o!\~ ~ /\ 1\ ~ w = 1 "'\] :::. o L + o0 -~ "\ W = -\oS 'j J'G M~ ' \ ---=> ~ ...:::.. -,....;;;;::. c.) ~ - d \f J ' I + ;,:: . I (-i 'I c.t - 2+ ~ ~-A dX \r CJ'l + ur -a~a{\ £ tiJ :::_~ L\ l~ Fa\\ ~0\l A c/ \ ~YJc\ cc w ~o s e_ () ! \S ~s pe.t. e-~ cA 1 c :.\at' t-o C\ ~\IA,J, ~ \ou.r Car-~ ~ave_ Ot u)o_\<c -t'-'loi ,.·::.:,. ~ l \otes o...,"t o. cu t-a11\ ~ re~7~;s~.,(~; J ~ .. _It o peDrs th~t rL~,·\s;ty 1 .P) ve-\oc ,-t. ~ LA) .,cy \!I)(~C\ cLC\ t'Y\ c t er l \)) q YIJ. "\-\u. \J. vIs w s \ -ty) fA. J a\\_ a~ ~ci -t'v\1?. ,~'" e47ue~~~cy. Dete-J-/'A'~~ ~e _\\ 8 r o ups us'~ _fJ U;cvv·~ \) ~s 'epeot\·~ vcH 1ob\es... \) \_~ I ----t L ('(\: 0.. := …
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