Docsity.com: A Comprehensive Collection of Academic Resources, Exercises of Dynamics

Download Docsity.com: A Comprehensive Collection of Academic Resources and more Exercises Dynamics in PDF only on Docsity! 6/49 is = O24Am Fe M=IZ Nem ka = 615 m SN ma = Zo kg Taz % Fm N = 6, N heme FE Ma =Iakg: I2- F(24)= 20(0.15)7 x 0) G DMs =Te%q: Fo) = Ia(ou)? eX (2) Tangential acceltrotions match + Va%at tga & 224 %q = O18 % Solution of Ey. Q-@i(F= Ieee nN Xp V1 vedis*(cw) Xg = 25.5 radjs*(cew) (3) it ib Ml docsity.com 6/50 } the awgular acceleration of the welded unit depends Yeon Ty and te Momunit Cdve +o tre wbegnts ) Soout 0. Neither quantity depends upon the acientuton 8 of tne sbb. docsity.com 6/53 | % 24,2 nF", 272 prrr 2a" ree . FT T= prtw* i 4 T Tr rae Le=mrw', 276i 2 = prdé (ra) Ado ar « pride T=prw* docsity.com  AGBIN 6 8 mma T_g= ¥A)(0350)~ = 0.1633 key m™ Iq = $28)" + Le 4 O.ss)t+ 4 (0.774 0.n5*) | o[54 |? S08 AA o Ma = @.2\ kgm DEMaz= Tar! Ma —25(9.81)(0.350 cas 48°) -442))Co. 700 +9.115) ms 48° = 6214) Ma = 107.8 Nem FE Mp = Tae | Mg — 4(9.81) (07S ong45*)= 0.1633 (4) Mg = 5.51 New ALBIN docsity.com 6/55 Zhe Lx | mgr cos @ = 2mr®a re. at 2 cose er a) 8 OMDE AGE, Ly dev = 2 feos de o er 2 o . ws 9, sin@ Vie , mg é , , 7 628 e G3 g Q* - B? cose -, @ . EAE rte G,~ 1g 9108 svar (8 sir) G2 2mg sin @ 3 docsity.com 6/68 =| YAO iL 300 From ~Vable DA, ram 1 “ . 125 _ 1 Lez mrs tami’ o @)——em = a4 * - yd # loo (ozs +03) le 100 (4.81) N = LIAL gsm? : Ly = Lgt rad® = LI + too (ozo 0150) 8.43 ky TLMo = Look : Gai (0.120 + O50) = B43 0 A = Bis rod fst ZL Fe=mG,: F-98) = 100 (-0.27)(31.4) Fe is20.N docsity.com ZLMo= Lows mypcas 6 = Fanti = Zt eos (udu = fade a 8 ag foda= fFtewe ae ) w= Sy sms ° 0 Zaye mans On- mgsin ® =mbu> 39. On = mMaSmOB4+ mb ZF sind = Zregsin @ ER, = ma, i mg oso - O% = mb HF case O+ = F my cos 8 OF | On + Oo. = amg C0870 + loosin70 docsity.com 6fo0 ov Ry b= tan 'S2 24.2° sh ~ ~ |O.9m o~. zy =i, em? 4 B = 6 a00)#)+300 (240.97) 2" gle = /643 kg+m* / 300(4.8/) N 2 zm, =L,u: JOOS 1)(2) = 1843 ef, of 3.19 rad/s* LE, = mPa: 3000481) cos 24,2°~ Ry = 300 M2*20,F*) 3.14, Rpt Fh2N ZF, am Fo": R, -300(9.81) sin 24,2°=300(0), B= /208 N R2f5 027+ /ZOP* =/3H4IN eee docsity.com _ 2 2 2) /F = 6/63 Lge + (amt + md’) FB a0.5) 3 - Agim &, EM a= La 3 2 ous 0.25 |10.25 o 8 17 2 a mom | 8981)(C, 50 40,25) =F (BOS) O n eo =4 Veoh ee = 20.8 rad/s? Le . | 82.87) LF = imia, £ nN é t ZONG.BI)-R = 8(0.25)(Z0.8) +6&(0,50)(20.8) &,? 523 N 24,= Zima, , Rae 8(0.25)4 ey $(0.50)4 = F.OA B= 5E5 "+ FEB" = 70).3.) 3 docsity.com 6/64. -mFawt A= 2 / w= 20 rads EE mra, Ans /0(0.500)( 27) n é =/°74 ti a -S0mm 2M,= mad; o/ooT= 197.4(0.500) “ aA T fooOmm T= FIN Ab a * we Eke mioe 20; A= 987M 500 mm S —_ * An As Vi/97.4)?+(987)%= 1007 NW or Az/,.007 AN 3 docsity.com  (@) w:=0, f= f= mhafe ) A=VA, eae er HA = om (¢) F20 tohen Yew or we c/s docsity.com  6/68 |_ m= 3000 kg Am = \jG*+2% = 632m \ < \ E = TZ Boos) 474 127) \n [°™ = 40 000 Kegrmm = LEK em _ Az ° ae N\A Eo @= ton = BAS yg #\elGm Emr @ | a)n (Fa), la a B fF EMeg = Lah + mar : ATa = 40 000« + 3000 (6,a2«) (6.32) x= 6.05 red|s* BoP, = man = 0: (Fen ~ 2000 cos 18,43° =o (Fa\n = [897 N ZRL= may: Zoe sin 18,43°+ Fe \e > 3000 (¢.32)(0.05) (Fae = Sle N Fg = {189774 3 = (1924 N docsity.com 6/69 2M = Lok | mgd sin a = gmb7a - 39 .- ott sin 6 te eo [ fwdw=fKde w*: 28(-cos6) é o oO ’ &z o w= H(/-cos 6) mg £454, | WG 6080 ~As mS" a LF = ing ces ~m$ $1-cos a) ‘a . = rng [cos 0 ~ $(- cos 0))] = 29/5056 -3) CF2Mma, mg sind -f= mS 44.) = : é 6, NG SINE ~F2 ms 5g 179, Fs Pesine (@)snps at O=30° Me blrngs PI 8AIOF 0/98 29(5 cos 30°-3) (3) Ne slp: N20 when tos8= 9/5 os 537° 3 docsity.com  ‘ef70| ae T=t+ mr % tp 50(3\*+ 50(0.5)* 50 Kem = i] Ht TM, =zL, x! S0(4.81\(0.5 cose) = 50 x dw o 6 x= 4405 cos8 = 8 Ge Jada = [4.965 cos6u8 ° Q wo = 4.8 sine ee mB, + 50 (ai) ces @- N = 50(0.5)4.105 ens) SL F,= may: Fo 50(48i) sine = 500.5) (4.8) sin 6) SVipgeng otcury when F=O.30N / 2 ey: O.3N= 75(4.si)sind j Divide 1 ey: N= BR (4.31) Cos6 obtain @=8.53° docsity.com  ZFY= ma, | aso . Ay = Wy | Pe may yay? w ‘| GAMg= Iu: Pe = tinvta Gy as a A b . P 4 Zon = 24 + Ose = Zt KkLole + YK Mx Cae) - mi+ tee Ris Si] = Es -i| docsity.com docsity.com 6/75 LM,= Lo; Fr= mk, a =f, wh Ae “re \o de emey ; —Fsm(-%) 42Flm ze ~-y St %t om A Aap) s rey (a, FONG , (Bap ) = of, (Cag) = -re dep ad 4 ied ea =. ff’. : vo 2,2 - ohh -(E-w) & docsity.com  6/78 + / J mg = $b, Te dbmr* Se Bs = O15, y= 9-18 ~x Le =3s° et N yng = 8 ib - : s RF = may! -F + 8sin3e= ary a 0) ER, = 9 + N= Flog So =O @ = & g /6\2 EMg= Ea: F(R) =o daa) (3) Assume rolling with ne slip : = Bx 4) Solutin of (-@): F2i333 b a= i073 N= 6.93 Ib «=ans fed sect Finax= Wg N* 9.15(6-93) = L037 1b <F =D Slips Fe AN = 0, 10(6.93) = 0,693 Ib a From Regs. (4 @): GEIS Ped, X= INS Sect docsity.com 6/79 100,91) N ZF = 0: N- 98.1 cos 60° =O gn ¥ . N=49.0 Ni Jka = F = ty N= 0,30(49.0) = 14.72 N 2-13 m ZF, = ma: 1004, 2/)sin 60°-/4,72= 104, , ew ay = 7.02 mfs* fsa? eae / é x 2M, =L,0: 14.72 (0.2) = 1010.18 *)d, a= 9.08 rad/s* docsity.com 680 Ae Eq : - . 2M,= Lo tmad: mgrsine = mh ok + med) ols BESO | F.8110.2)sinb0° kp tre 0.180*+ 0.27 = 23.4 rad/s? aay pF le=8e ZF ema, ! ngsinO-F2mra, x m=lO kg F = 981 sin b60°-/0(0.2)23.4) mg 2 10(0,81)296.1 M = BRON r2 Om, k= O10 m Zh, =O: N-mgcos b= 0, N= 96.1 tos 60°= 49.0 N E = . Ms 257 7 9.775 =(As) rnin docsity.com  6/83 25 (4.81) N k= O15 m wan 4 Bg = Oly Py = 0.08 30N is i — + U}-—-% F N . ZR, =0 & N= 25(9.8) = 245 N Eye ma, 2 30°F = 250 0) Mg = Te: 30(0.015)- F (0.2) = 25 (0.175) "x (2) Assome rolling blrth fe Ship | @a-re (3) Seiution oF E5s. Q)-8) ‘(a= 0.425 mIs* A= - RAZ wad |s® F= 1238 N Fina PgN= 01 (245) = REEN OF (assumption 0X) docsity.com  G|84- | 25 (4.81) N k= 011s m oz m 50N F N . ZAy=o! N-2Z5(1.B1)+ 50 sin Be? =o N= 220 N ZFy = WO, + 50 cos3- F = 25a Q) ZMg = Te: 50(0.018)- F(s.2) = 25(0.15)"& @ Assume elling with no slip + 85 -ra (3) Solution oF Q) -B) :(@= 0.556 mis" a =-2.78 rad)s> FRR2UAN Fray? MsN= 0.1 (220)= 22.0 N< Fé Slips FEA NE (TORN From Eqs. (I)¢ @): a= hOZ7 mjs™ = 0.295 radfs® docsity.com  6/85 2N [= 0075 m 25(781) N wage {alm bs Oy fe= 298 \3 +L. | N ZAFY=O+ N-25(1.8I) + Bo sin T= N= 217.N ZAR Ma, 30 cos To°- F = 25a D Mg = Tm + 90(0.098)~ F (4.2) © 25(0078)"x @) Assure falling WK ne Shp F QE TK (3) Sotwkion of Eq. W-@): (a= —o.02z24 mst & = O.NZ) ved fs? Foe los2n Fina” HsN= 0.1 (ai7) = 2\.7>F Cassumption ox) docsity.com 79% = mba tmaltm 3 Solve get AFG, 055 docsity.com  6/89 Jy aye Vp > ——_ t 27 athe co = =e; 6: 4 FOSS ape L/2 “/2 a mg A ha 7? Se La 2 zp “= —). eet az iM, La tna, Ad -mgh a7 7b wk +s e a as Bye z r _ +t aut Az ng (3 3H) docsity.com  6/90 Ay S—> A % wee MP = 5 (0.4)27= ROM 0.4m cht. = —_alls = OR IDT e174, = Sl4)=20 N t % ; pe “> Fy 2h Sfo.8)%= 0, 00M nary || Toes ph Slot 0.2670 = 5(0.4) ot = 20k IM,=LAd + FmAd, 0 =0.2670 + 2.00 (0.4)- 200. 4) X= 750 rad/s? ‘Apt 20- 2.01750) = FN ZRema,) A,~ S12 B)= 8, AY SRIN & docsity.com Pac = Yag = 2k rads Age = KAgetk reys’ 49.81) N Gg. = %&* Cra, A Lag, = 4Kx [6740.17 5)e0s 45% + CoT= 0078) sin45%y [- 2* [OT r0.r7S)eas4ses + (0.1- 0.178 sin 45%j T= 3.9L + 0.990; mst SMe = Ta + Emad: Mg- 407.81) (0.195 sin 4s*)= “2 4) (0.38) “AY 4 400.999) (0.175 cas 45°) — 4(3.46) (175 sia45?) » Me=3.55 Nem Cow docsity.com 6/94 he -6 “a 2M, = La + Emad O= mks rmtak -ma, 4 2 tg GCOSO —-""@ . ~ “ A R= mb, Al mosin@=m(a,-2a0 6088 AN Tu 7 m(5 ) oi oar Eliminate & & get <7 |t mg : mg ma, ||, 2% ax 298 _ “2 1-2 cos*6 2 N Alternativesole Hon ! \ Pr C may 6 used @3 @ moment LC Center fhus eliminating reference fo Ayan given ome epuea hon in & docsity.com 6/95 tyg20; (25), + (Ge) =(4a),,* (an), + (ay), (y),,= 127) 2 0.4 ofs® (25),° 28". yt foray” — flog, z (@q) =0.114) = 0,4 m/s* a lw ‘ (2g) = 4 ra/s* 4 (Ag, \=O.2 y Meo? “{dg) = 0,2 m/s? 0.89.81) WM a 7 a aa * et 23 20.667 IM, Lx + Peg, A s (0.38 ~0.8[4.810.05)K = fo.s(o. ay (- 24) - 4 (0.156) x 0.8(0.4j 40.94) O38 = 4177 - 0.0/6 + 0.048 B= BC#4,03 VW (tension) docsity.com