set01S - Page: 1 of ENGINEER 2P04 ENGINEERING MECHANICS...

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Unformatted text preview: Page: 1 of ENGINEER 2P04 ENGINEERING MECHANICS “A” PRA CTICE PROBLEM SET .- 1 SOL U T I ONS Faculty of Engineering, McMaster University, Hamilton, Ontario, CANADA _ ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page; 2 of Q 2 Practice Problem Set Solutions [Problem Sitil ] : 1. Determine thewx endiy components of each ofwther forces shown in Figure 1. Then determine the resultant of the three forces. ' EThA jwubodg,& WW“ “a E Mbk be be a (71415094 ,4 fith bdow. Figuretl 11‘ w SON 40N P) __) a i/Ohln‘mj Full: F} Vu’mr NWMW ’3 5/} H L + a; éJ " — ’t ’32 \j a *3 coma»? +§o§m220J 2 38 3 2 D A F; " 620A ’ 3H'5J i? Coxgooll: ‘l' hbgmaooJ 2 3: H0 ——? ,5 Y ‘ Ti z?‘+ F1 + P3 0 A ~3L..6)J . . . . . . e . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . . . . . . . . . . . . . . ENGINEER. 2PO4 - Engineering Mechanics ‘A’ Page: of 39‘; 3 Practice Problem Set Solutions Problem Set: 1 ] 1 _ ’______,__.___. E \El=\)gé.fi+(-m-‘5)L A 7364N§ 2 ‘5th N —\ 364 9 Lib ———- 2 M3 : A/vzo . . . . . . . . . . e . . . . . . . . . . . c - - e - - - - - - . . . . . . . . . . . . . . . . - - v . . . . - - - . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . . . . . . . . - e . . - - e - . . . . . . . . . . . . . . . . . ....4b ENGINEER. 2P04 - Engineering Mechanics ‘A’ I Practice Problem Set Solutions [Problem Set: 1 I E 2' gfitemine the X and Y 00mponents-of each of the forces shown in Figure \, en determme the resultant of the three forces. Ufima M We efilhn%g%)eee/ 'REsuLTA N T [ ._._) —) —) l06N \06 (Nisan) (063146“)- (E) : 66 a 90 [OD-N ~(02C0962 lOzgmbl (F2) 3 “ L18 2 (7° 72: (‘36+A%—l60>/c { + (1.910140 — 11°)j \? 6°“ ZOON -2_oo COX-5? i ‘ (P3) : “'60 z-l'J—O 9( [ Wen? vuhw lehm» "51” ‘ l ,2 ; gbc +‘10J ’ A _ '\ ' E - + qoj 8 2 LA“ ‘6} ' 2, '3 'wob’le =§)5° I p ram +l/t y, 435/04") 0 ‘ Mme : .L ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: of a? :52 3 Practice Problem Set Solutions Problem Set: 1 ‘ * Determine the x, y and 2 components of each of the forces shown in Figure l 3 5. Then determme the resultant of the two forces. Determine the angle the I 1 g resultant makes with the force Fl. 2 Fl = 4m N be o“ - ‘ Now Wu); ‘4 H00§1h35: 3129-11 . 6N Du 'x 9mg) td MM 0w (am-Aroma, 52v; m l'M‘wh '“ TIM N3 mj—@aq.us.nao _ -'+&.5 N L“ \fu. I A A -‘+€o5’+3&77£ F, 2 Que b L J f) mafia“ For Du vuibw F; , Umvua A T< fl) CoxboJ + LpooCoArzo ‘ ~ A L + L900 Cox/mu F} 110000 As A A — 9.00 \c ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: 5 of; 1; I Practice Problem Set Solutions [ Problem Set: 1 ] ' p) --3 TM "(UruH‘om’r R n r. 75?: gws~e+a€2~g> L + (~?&‘5+200)J 0. u + (3117—— 200 ) 32 ~ AREA/C + IZI~5j + 927.7k L L 8“?!“ YEW ljnqe.n”+ [ls-5 +,i2fi7 ‘32 2. Cox“ 2 135° p {wit—Uh ’- '° ‘fma 0“ “8” b1 9 3,2 ~ M * “UL “2 0% mm V'ne‘w} 3 [1 3 n " .~ qg.H”L+I}l‘fJ E \ @961, ~4g-5J +aa'mk) (A + mm“ M”: : /. 3' .51.”,77}; g a fid—Hcsf—y gafi} HW‘H*”' ‘ g 3 vs- : 1% 2 £x5-6)(m@.n)+(-4E~5>(m~6)+ (WWW; ? : (1100.0)(63124) z @532" (Q: flag/é,” o n ti ENGINEER. 2P04 — Engineering Mechanics ‘A’ Page: 2}— of 42% 2 Practice Problem Set Solutions [Emblem Set: 1777" 7 E 4. The three supfiorting cables exert the forces shown on the Sign in Figure 4. Represent eac force as Cartesmn vector. 7 - e r e TMMCNY Mama E; n (0,2,s>’16,00> :(—SIQ’D°) m A) , Umt vu’m WW3 Pr; M —-> ~Si+flj+3k (AB: 2. 2 L “3 “A 3:” an“ MD Fe 0\ E A vamp: A e “3 “5‘43” 1 + at J99”? (4%”; JED» +0 ") 9 __ $+03+3>k __\ A A TC oxuzJ—( a { u- \(,gL—a3+%) 54"? 0 ’ M 6 fl 2» "> h b2 “W‘HHK 31» “F” a. a E w Tm YUA 8' A ~> ——» Q5 2 L.oo pst+ aj+gk) FB 3 B .5 ENGINEER. 2P04 — Engineering Mechanics ‘A’ Page: <8 of a? 2 Practice Problem Set Solutions [ Problem Set: 1 ] 1 ——7 ” —”~" 3?: pct HUD—:3 5.0.94 6L &J+ ) {ET : -32Mi -mgj +/%~7\< A? T? . 9223(421 + 23c) =—-/%4/ 2+03W'2d E \ll’5 ENGINEER. 2P04 — Engineering Mechanics ‘A’ Page: yof ' Practice Problem Set Solutions { Problem Set: 1 ' i ' 5. Determine the force in cahles AB and AC necessa“ it 7 , : light, as shown in Figure 5. 0' 0 support the 20kg traffic Figure: 5 J .J 1 7; I /7/r»2</d [MM/9‘7 %€ 69W %/cy5 /25 y%/ %M “J p 7" F‘- a a 7%: a” ‘3' Z 50/542 (/ ,‘J .J P, ‘ 75 flaw/Way, z +//flc/ fwd-M ,7 .— ,Z Qgfi;:£f/ 53 a yr ‘5 5%eq%//JWW f @9/ 4/ f7}? ENGINEER. 2P04 - Engineering Mechanics ‘A’ Pagez/gof 1 Practice Problem Set Solutions [ Problem Set: 1 ] 3 / a ‘99 " G%&w+%gz ' \3 52/17/207!— VI 525/10 »3V¢Z/ 5 /7flé 7%, 2)” > V chéy53/V ' ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: I I of : Practice Problem Set Solutions [ Problem Set: 1 ] I l 6. * A load Q having a magnitude of 2kN is applied to the pulley C, which can roll on.the.cont1nuous cable ACB. However the pulley is held in position shown m Figure 6, by a second cable CAD, which passes over-the frictionless gulley A, and subjected to a load P. Determine the tensions in cables ACB, & AD. Determine the necessary load P. Emma iehziors m awn; AC8 be’fi and in mm} coo bai- 0T) 4 E g. 3. S 3 «i ‘V 9 5 (.1. (*5 \ N\ H O A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . - . . . . . -. ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: [20f ‘ Practice Problem Set Solutions [ Problem Set: 1 ] 5 :2 :5 :7 —> OY ‘Cg‘i" icn’i" iL‘i‘Q —O T + 1" gm aej )+(:,j Coéggf—f-T‘ gmesj) + k—Tlcoxscsf +TL§W\€$]) .— 513 ~— 0 A ECO/5&8 ~72 00/935 —-‘T'2Co&€€> b . Sing”) ~2>jzoé RLOVVMkflVkfi + (’Tfimae +T§W36 *' U ’ Tee/5,95 ~16“ch »T2Co&s=s=o F G) ”' ~ ’S\hSS~—<§=D '@ g “figmas + !,§\h6b + ‘L Practice Problem Set Solutions [Problem Set: 1 l 3 7. * Figuye 7 shows an assembly of chords carrying a pipe. Each cord can sustain a max1mumten310n of 500 . Determm'e the largest mass of plpe that can be supported? ‘ _ Ffrgk 50(03 10¢ age Gabe ‘thes In +6rm5 cg? 13 i mew mu %u\\lbwm 0% PM” ,, M mum m m in; beef? @Wflvh Mwwvx baht/0.714 VuM‘E R 04M 7‘0 \ ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: IL’ of 4;; ‘ Practice Problem Set Solutions [ Problem Set: 1 ] 1 ENGINEER. 2PO4 - Engineering Mechanics ‘A’ Page: ,5 of .21; ' Practice Problem Set Solutions [ Problem Set: 1 ] ; »~ 4 A 2 I435? mm 171/.5571; vlz/fl/fl"; , ’s 5 g {A W Uwawb-TMA [A M maxiqu _ ENGINEER. 2PO4 — Engineering Mechanics ‘A’ ' Pagefii—gpfgaé ' Practice ProbiemfiSet Sofiluitions [ Problem Set: 1 ] ‘ Z , Determine the magnitude 9f forces F1, F2, and F3 for the equilibrium of the 8 particle, given that F = [—91 - 8] - 5k] kN- ” r *W ~' M :71: in: W W {76 «fw‘xxi tank Mug vuivm 0M COmPowtvx‘i “fvmx. F‘mdui‘imvx 0% F, UK M Wm: M Romeo. , , TM comlmmm 0% [m Wm W on x W y W, ,x (WWWO :Wamw/Séégmgo} (Minaa‘vog . TIM WWW“ “my 5;“)0'? 34 Hglhéo. i 19.: (moxbowwsao ‘L-—(F,co;se(3§m303 + egmeo’n‘: ) “’31 Uvafi PM Com'vu of 0M3)!» A F; 1 ECOMgn-fi + F; CoXboJ + FLCOX 3[for A) kw? Mimi (Du (Ami Vui‘m’ Wka 3 3 6 0.1 1? +3 . ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: Ffof 1&5 ‘ Practice Problem Set Solutions [Problem Set: 1 ] ‘ 4(231331 + 1%ng - él p312)~.0/ weamanj (-01 + ECO/56060450 + ECO/SW3 +2; F3) b <&_ F'CoAéoSm‘BO + F; C0860 + £— 132) 3‘ V g + (-S' + 139th + cmogéo - Jig) k 2 O i Fwy“ when we (311i (PW—Le Practice Problem Set Solutions [ Problem Set: 1 ] * Cable AB is attached toll};th of {he vertioel3n; ost as shown iani ure 9 r and It’s tens1on1s SOkN. What are the tensions in cgbles AC, andaD? , "9 --) —> _ fl 7 N W W A. 7 "Mi? lo exprw fume F90, '1}me W Tam) {h \fth form,uhi+ 5 ~7 - To ‘ 57$ = (mm—(6,2,0) _ (6,1,0) A A as‘ 6€+J+Ok ,1(6’£+J+ol<) H - PK— ‘ IX) “l” “VS/L \ f A A M l __,__.____————————-———— 2 __ (“6 L I) ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: [‘3 if ‘ Practice Problem Set Solutions [ Problem Set: 1 ] 3 (A l v .61: +2A —‘5/l\£> PH) J n.) For dem‘um Oxi' Pomb 19/ 2F 3" _3 ———) a ‘5 OY Fm‘l- [233+ 392+ FBI) 3 0 PM (-51 423‘) + PM (ma—3H 317% (3—? EB: (—e’c +6J‘1’5TC)+ fez UMP“ '5”; W? “’5 W 41% 34;; T2? +<Qffl¢__3FnD>1;o \EVENGINEER. 2P04 - Engineering Mechanics ‘A’ page; Zoof u; 1 Practice Problem Set Solutions [ Problem Set: 1 ] 1 New we Mve QWWM #fioJr 6E3-6Fm,6FpD:O m m m «2-; I / - ‘ iefi’B W 65 LTensm‘) m cab 1 seek!“ F * H3'2kN szb'?kN PHD H0 ’ t ENGINEER. 2P04 - Engineering Mechanics ‘A’ Page: 24 of 22,; ' Practice Problem Set Solutions [ Problem Set: 1 ] i ' 10. * The lOdkg Creteshown in the Figure 10 is snpnorted by three chords, one of which IS connected to a spring. Determine the tensmniin chords AC and AD, and the stretch ofthe sprmg. "Wax r ,7 71,", TM FED about Qmm‘t' Pr VA (Us Mush Mien). l 6.; +(va‘51ch—zm7a7fiv fp’f/‘Q'ZJJ Z +(’0~333Fb.z’+0*567 +é'éé7/Cpuéj " foo/f 3 0 ENGINEER. 2PO4 - Engineering Mechanics ‘A’ Page: 2%f Practice Problem Set Solutions [Problem Set: 1 ] ' Jr (03 +1+ 0'664‘FD -qm)k 07‘ FB’O‘QE-O-Sngzo Q) '0‘“)? + (9‘66?sz D MAN? 0-5 Fc +0486? F—D —9g1 ; o F : @rgN F92 @6er F3 2693.?!“ I ' «s ‘<’ COh£L0i~eX (nu Kenn? F3ng OY fillg ,J’ 60/3 ‘7 ; Qéoo) g o~( 3; 01.634,“ ...
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This note was uploaded on 02/19/2010 for the course ENG 2P04 taught by Professor Sivakumaran during the Spring '10 term at McMaster University.

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set01S - Page: 1 of ENGINEER 2P04 ENGINEERING MECHANICS...

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