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Homework7-Spring-2011-Solns

# Homework7-Spring-2011-Solns - ME104 Engineering Mechanics...

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Unformatted text preview: ME104: Engineering Mechanics II Spring Semester 2011 Solutions for Homework Set Number 7 Prepared by Oliver M. O’Reilly ([email protected]) MmeWeEWMWmWW/WWWWWMWWQVWMW.WNMWWWW»,;,MWWW,..,.WM.,,,,,,,, , , , , mﬂaﬁasaﬁmm I {31? m r: 3K5 g a. QC 09‘s Ex .. Sm!5§y) g 2»5(Cosaogx +sv‘naogy) g! g.“ t T we} :: my :: ~15<Q330§X +Sin30gy) Kgmtsec :10 r. fxmy :2 ~80<Q31\$3in30 +- \$1n183630) [55% -.-: ”303548 Ea Karat/3:1: -r a {may 2 {Cams} % E c + Y a: :6 Y. H g a; v a m 2 2 S a: 5*! ...r 4‘ Cga) x mu "1“ch _ e a. b a: + v A. a E w m z = G. X f~ : o H. m .a 1m a S —-<:E 9‘. mvCoga % a: F X \‘I a a: v c E. + y ,m 8* to _ X + E X a: m .m a 2 E X E z 0 .H~ m 5 .G. X X a; I AT = .G. n m x X E = 2, Q. X P. :I.\ an aa a: a z . O x :H~ F: h F W z M w W. a w m .w m T ﬂ g: xgx +5§y+ 2g; 2 = *9 + 9§v+ \$332 m} ’-'-"- 0 =9 ﬁLE} :7: xibg) f \$(Eo) (é't‘o) m5 2 any? =9 9th) : 3%») #- gtbKE-Eo} "' 9:3(5‘541; mg; a 0 =0 em = auto) + itMLb'E‘a}, Hzfxmy .-: m(ut‘E_x ‘i8E&§y)X(H§-}C”®€§y) = -maug‘ge +2???“ g; = mat"? Z Qua: 35 4»: v0 éCnfgfg + swag?) 86 z: c; at : Wmim £8 “3% Ea 4h 2: h Satuﬁem : {ice :1 wag/fags: pal?! mwhsiz saga” E1? ((3; 2 RE," I 5&30 ,4. 3 1:. Rev + “age :3: g 2 «\$ch + ége mi 9 =- Qééﬁe .. Ré‘ﬁr are EEE 713.3 “Niffﬁ ”maﬁa ‘1. 1“: fzm": -§r1 MRS 2 M »§g: mrzé = 0 ‘ Eém mfg, 2—m9 eta) ~.-. ééo)t {— 8432) 2‘86) : -3/1,€' 4- \$6336 + ago} Mo 93% E29) RéwVJwE and. 2:0 9 3: C) and, ‘E '2 Vagiﬁﬁ Hence, 1‘ 9m :1 “(Eastmaf ace :: ,.. Sal: + vssmgt R NW (2%. ﬁdude; M103 3 93342:: 3““ 3 k 3 9;,“ Q" 1" y'asmak w {T :2 masmg i“ vigm‘é + Q; 18 5‘" 3 Nam} th Ufa; (§&§01U&‘¢w3 we: Sin-“mi Hui“ {its HWZE— HE: gt) “W 35"“ F} {'08 u: 6‘ 3 VaSiﬂﬁ + vagan‘a + 3.1 8 3 3 Rm. ’1' . . Q :g. 83:: 8H3) 7:: “(3.9.1 (335\$) ”5* anti 2:3 2 Eff ) 3 *8‘5 4‘ Vagﬁg R New ‘ ‘ 33 ; Rages «2» Egg 53km. 8: 83 e: {2623(0) @& a- g ; \$333 + g}; En: 8"“ 3 2 ‘4 636 (£9 ‘- 1““: U0 3... ? V0387? +E§J g2: .... f8 Hence: Q3X= ~ge.€s X W VS “E2 0630‘; Want: V3“ (293 + Vé’sm‘ca + 2311 s V: 4’ 2.311 3 ﬁat-253a 3 H33? ’ U o “6&3on 9Wr5mha} ghmmoﬁffﬁk‘n gag; 21-5)~ Mccﬂdcaoawe CW ithﬁ“ Mina 80638 mswmk, Tosca ago-gag Guaswcd: 53:: :xf: (ﬁx-m5ga) + (E): Mgr) Rm i-tg'Ee .2: (swamggeyga + ((Re¢~+%§z‘)x16§r).§e :: (3+0. w ,- awn F‘cw 3112533 Samara“ E 2 NA! 2: 0 :5 E \bOznsggaegﬁ. X E“ m. m 9‘5 + m m t- vmm m? N) .. e V m ﬂux m ma. um @m X +A.“ a”: x, 0m Wm Em mm Lo v a.) M 2 3 «ma» 3 u. a , i - .mv j; “W, v w, 3 1r 5 w- .w. Mm“ mm um i m ... ma x p @w m m Eamagggaﬁ «mm»? £23 % 295\$ 53%}? W EQM‘MH .5 § z MAM \ s it :t‘amgrwzxx E E E g i i WW 3 I 2&6 Gum: y: = 8 Dormant: : So‘vﬁow‘. V1, = V4;( ESSEX ‘“ S‘negy’) ) V1 :2 V‘ V‘ (-Cns3ogx ~ Sin 30gy) we ﬁrst need is Wmine {If}, g“ In} E Scum“; : n :: (as 30 §x —\$inao§y £3: = Cosbogx +SM60§Y U1" p M E2 3.4.3. = yﬁga . : v.(.cos‘3oca;so ~8in30§1n60} =«V.C053? vx t1. a 35: g... = o E i 5 31.!“ ﬁlm = Va(&59Ccsbo—\$in65m50): ‘J.Cos(6o+e II ya..§z V£.Ez = 0 ti oeu'nw WWW a“. \$54st {an the. 9 dircch'én :3 anaudca. .- ,_ _ ’0 - ,. a. WWWWWWWWWWwWWMWWWWWWWWWWWWWWW z E 32min; a: 22.2:- gmm 59: 33.9 and 3&9 ! I. 24 33 ! XL (x+e)C»te:-30) - (t‘r‘GJCw‘j ﬁg" 6;. 2. 4.3 = 3,1“ ("EJCnie‘30) .. (i+e)Céaéo] n "L 8 :33: §¢2\$ a; g»; g: :- vi ~cusaog. + ;[(H8)Caa(9-3o) -. (t~é)Cn60J g] A l :;:;:2 v1. = v.[ 031(60+8)ts 2 L]: (nve)CJ>{e'ao) «(mogul n] ”2W7: % " ~ 2. - ,2, E f ;\ E f I I ‘ ﬁg 3 2 Now we wmk E: = --\I'. EV =9 Sn'gx - 0 E :9 «(35339.9 4- ,{UHEKcam-vao) — (“emu“) EVE-ﬁx = G Given 8 no: can statue this Men is abba'mine 9. ﬁ- Herc G: 6-8, 635(60): 'lz - .. Lg.— = ‘3‘!“ =9 Cos (a as) .. 2M) :8 a -‘ i =9 9—30 = 0351.29) 0" 30‘9': 035 «(8) =9 8‘ = ‘32‘33 w --2233 These: \lcﬂaeo 9 3 armoponol ’Cn hue dim amped: 369161305, \‘1 n 32‘ 39 1+2€ E mchmd 95” ma 8 Mean 09ml 1.. Fa: mskw‘is 5b. unpai— was pweﬂa 9&ch (8 =0)’ 3m Ht mum (,3chth hm c. Sum. ...
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Homework7-Spring-2011-Solns - ME104 Engineering Mechanics...

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