Homework9-Spring-2011-Solns

Homework9-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 9 Prepared by Oliver M. O’Reilly (oreilly@berkeley.edu) C:- 50 SHEETS 22 I42 100 SHEETS 22-144 200 SHEETS 22-141 ® (slum: 5-3 = 3E2 (flax) 2! = 'U-l' g1 (r/sec‘) Sn 2 -'+§X 413,! i' 'lgy Sdukom In = -'+§a: =0 ya = =1> Lin == lQ—gy “7183c. 93 = wégy + #509») =t> g» = ~s-egy ~3-6§x(mz'-) f6 = In *-l§‘/ He 2 _\_}n + "(9‘90 : AIR? "' 'lée)‘ = l2§y — 3§x (mism) .\ OL 93 : 99 +(— H9§X) - ‘legy = 9a — Iéch -')9L@y — 2. 2. (Ex ("Ilsectj M_ “P u) 53 I Leg '/ ES ,5: snag +" e 5;"— 59 =KRg$ +(R362J-Reed mi ! WV 4 I ,_ 50 SHEETS 22-142 100 SHEEI‘S 22 144 200 SHEETS 22-141 Leia/ma Dehzlmim : Sn‘di'on : Amber; : 9:: “69.3% in = QGx +b<§3 Q: '3 'b = .2% “Ya and 9% It“ ; QQK +b¢3 ya = agix -\- 5‘23 = ngs - bmgx 52m = «2ng —~ bufx =-aw‘§—x “ bwm‘f-n ya = (GK-06.15 — (‘28)(-6)§x = —\~8§d —+ l-éi’gx (mlSac) 9;, = —(-3X3e)§x — (-22)(36)<_E3 = —lo~8_d_:x _ “Long, @5251) .a- mez‘q’fiufiar’W—éocyujcdm C94- 0} T 'auezoég. W Mc% (Am/2g“; QM [Ia/Jea— I;de k I “at. : qugaefig: Vrg=¢0XTg = 95% " GEM £5) f away. «60:55 gr €44. CQ—Yofakwvt EWSCS (9w%c%w% Zhe wag (gm) 3 11,3 = égflqd g; =$Dm%¢§< 1V6? «‘7 . 23.3 .c —p ®=§uit= W: 0.917% 9313 = o‘m% é} Pa:an 5/ 33 Given: ye: \ng = ~13 Ea: Wmine : $20G saw-o»: £1— ? kmpofink‘ca anwgwwmm k .Qewr on ((21! ? W: 8' 1 91 4‘ TrI-L (I) E" r- 5 sun: xCas(\80-8) ('2) 8 c 81. f: xSCnU‘Zo—e) (a) o v—————————-—————; I an» :9 ~12 = ['0 —_r¢ + 3(C338‘E3r + SmSEY) Hm ._E__x f 76591. = x'fsccaG (6‘) Q .EY : FSu'nS.,_ = SS‘nS (5') M0 D\FF€(£ENTIH‘TII\IG~; _ré,,sme._ = :5; + écpe «- sésme (6) -ré,,c.,,9._ = 355th + séC-ne (7') (“the 7. equan g“ ‘? unknowns : DC. 3, 9, 51., £1,793,531. . Gmfinina"(6)$ine + (vans: r53L (EKG-'81.) = ~5csn9 +sé r. B..\- e—e‘= 1% s= x14“ and Sims = 4’“)? Hence Proan 5H9 a, C Gum: ya :- 2§x Ev Ly; -vcu= I-‘L i . -- D .q'.‘ 9 < 0 Ex banning: 93 00.; 2G Sdbhm: Erma poinl’on 33- fl5idbodla ! = 11.5. in (fix :5 “m: 2§~ = 20+ 9x(-'7-“—’v+"~§x) l-?— = H gx(*-‘+§’x)ll Su‘uma [‘9‘- Q: "é = Brachlx 25x — (-aézh (mm, + 29) 1E). + 'ng +~ SEV Q-QEX + - $§y mlm, 50 SHEETS 22-142 100 SHEETS 22-144 200 SHEETS 22-141 Win/10° Ptob‘em S . O ic. Gian: Rolling Grand 06h. Wmincz En» - ‘16 XP Schism Fur circdber diak' Far 0- romna d‘xsh: N94 Kg - £3 : ya —— V8 = V? £5 x t” f2$0.325) :: + 0:905" :9 a: .2-éR. Mgv ‘9?) R (-NGLK - 0° ‘53) — —Rw (fix +93) 3 \_Io + g x (-dgx) It : -éR§x - 32E): + (-dWQs “‘53:: "l‘SE% when 5.=O '62,:300 So\lat\'0n1 3’: {63:35} common 0 Such Bd- ol-mmgmmr 6:0. Then: En = L.(Cn 61. Ex + SinBLEy) _-; Hg), 1. xgx + Rm 9 WSW a WWW? (ex = Ex I g: = Ev) Monet = x + H L'SinGL = H Funer- Va: L.éL(—s:n8LE-=.>< + casugy) = -Hé§x + kgx + xégy menshhamwwL -L,é,_$in81. = -Hé + 5c. LléLC5> 8'; 7. x '6' Rs at: 30°, 32-4-5, L.='l6 I 1;: 'I6C1330— ~08 magi.“ (£003 : 8152 = 4' X9 E3 Llcoae'b '6337 E1; M4915“. ...
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Homework9-Spring-2011-Solns - ME104: Engineering Mechanics...

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