105-20001-MT2 (1) - PRUELEM {1} {25 points} In the figurc...

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Unformatted text preview: PRUELEM {1} {25 points} In the figurc blacks A. H and C haw: weights cf 20 N1 113 N and 30 N. rcspcctivcly. Thc cccfficicnt cf static frictiun hctwccn hlcucks .It and B is F; and the coefficient of kinetic fricticm between block A and the laurimnlal surface is Jug. Thcrc is 11:: friction hctwccn hlcclt C and the intflincd pEanc. The syfitcm of blacks arc rclcascd from rcst. We observc that blocksfi. and 3 mm: tttgcthcr. {g = I!) mini; sin 31"“ = flfi, cm 31'“ = (13) Fricticnlcss and m3551c55 puncy [hj In tcrms cf 3 and 3:5. what is a. the maximum acccicratittn that black E can harm withnut sliding cwcr block A? {4 points} "'5' .-" Eir- Etlifltflt. El: 1 Eur: ME —} falflql 3- MEI Emu—I- J'ij :Mfitfil—Hipsflifigigéqmt '- Effigy-l! [c] If m = 114. what la the minimum p; between A and 3 3-D that B docs not slip and they {A and 3} move tcgcthcr‘? [15 paints] =flh 1': IDLE 1'3... LUf'IhN-s MM‘hHIE 2'4wa THE Iglcclm “out. W'hu't} Ct finch Elam will. Wt, ; (ggu][c.tu)-llu = (Emu. flu:‘1lM.|'r£1' A _ :l Fr. M 5 Mali W M L $51 3 W ' ’ t” '" ~—-“ ' tun-1:5; J 'J ‘a M LIE tum fkiauhfl =IULLCMAH‘fly ‘fp5= tin-t '.ltMi-wiwau)*;} : :ILM Fiafllilflihhflwflflqfifl MUE- HQJ-hw wi'htwd E; EIiff-tttj NW A . Pk}: I05 Scrattct'Mt'rfrEr-Itt FREE 3 Hm! IE. 2cm PROBLEM {2} {25 points} Figure shows a thin mi of length L and negligible mass. that earn pivot aheut one end to nature in a vertical sirele. A heavy ball of weight H' is attached to the other end. Assume that you push the hall aside through an angle Ha with the vertical. To do this you exert a varying Irorr'eoeroifort-e F“ that starts at zero and graduatly increases just enough so that the halt and rod move very slowly and remain very nearly in equilibrium- Pit-or Ea} Draw the free-body diagram for the ball when the angle between the rod and 1.-'e1't:ir::al is 509:: an}. {5 points} ,7? El r! Bell. F _4 I tu‘ I to} What is Wart. Ihe net work tlone on the ball by a]l forces aettrtg on it‘.i [5 points} Uflrd = :13 —._____._.___i- {e} What is FILE}. the 1raryirtg horizontal force you exert on the bail. as a function of the angle 9‘? Git-e your result in terms of paramemrs w and E. (1' points} Framer ‘T‘at. fi'ee- tacit! tiAIEuEH'aU-d CM.- peurir {a} Tees - F _g i rhea tee EFrepwiauoi Tmfi=ur “I to} By integrating HE}. calculate the work Wyou do on the halt in pushing it aside through the angle Hg. Give your result in terms of parameters to, L and Hg. [Iain on.» = flu“; jfiflggd: a my] {3 13011115} 3% firedeariemem figthhdouehthii‘i it?” e. .4, 19 ‘m Calw= Full: Fflouofi toth :11: Let? I! a“. -I he" I ‘ast-r' * _ _ . :35. ..—. .. or; = etuu- IFLmfldQ _ armeiLmt-Fdfi F J j E"? l we watamtfia) Phys 1'05 Second Midterm Page 4 New .I' H. 2-H}? PROBLEM {a} :25 points} A block of mass m = 4 kg starts from .4. Wilh speed Ln, = 10 tttls. t't slides to 3 along a track that ascends through height it = 2 re. The block then runs into and eompresses a horizontal relaxed spring with i: = 4oo Film unti] it momentarily stops at C. The distance between at and B is at = E m. A constant frictional force 11 = +5 N acts on the block between A and B, but nofiim'on exists between B and E. [g = It]: mtg!) tn} What is the speed of the block when it reaches 3'? {3 points) George-Punish" «of gamflrm ; 'I'l'f‘fttj'}'J:+[ThflijIe-ufil]{m}=%itLj'jtftflmt't; Ems}: : E-«ecJ-r “files-Hue fifigt —- (fiHH‘LH-t] weer H5+ UE = lid 436$ via mango = Eeo‘sfi I, L “*1: WDH‘fE-Ea = 5,; 3”“? “lmah‘sssfi—fté *5 _T“‘ rfl = E “4 Iri- th} What is the e]astie potential energy of the compressed spring? {1" points} Canafie’dwm elf Mfichflt'liml tkwm ‘. Ext-159‘“. Ue=fla {‘iL'flH‘sm‘lfijL A A ke+kfiu=fi€sfl iUwW-I! t L t L —-M% :—-kx tut Emmi. 5 it] What is the distal-ace that the spn‘ng is compressed when the block momentarily stops at C“? {5 points} -1. rs Jim ._ Latest} =12._M. _ Ht 1'!“ ‘1‘ -—} lame T - W AG ,. FEM-HEM {d} What is the change in the thermal energy of the block-trash system? [5 points] fitth 25‘} = (EM][EM) its-Em:ng Phys .i'fi'j Second M't'd'rerttl Page .5 New IS. zoos PROBLEM {4) {as paints) .5. eensen'ative feree Fix} ants en a 2 kg particle that reeves slung the x axis. The potential energy MI} associated with Fm is graphed in the fellewing figure. meanness {a}. Between what values et' .1: is the magnitude of the force on the particle greatest and what is it“:I {It} pnlnts] Fm} :— d3? : - {Stage ef’ "he Uta} mine} "I" ~ sit—as lEiui Hr‘lh— gag—i: _L:iig__ué1lI-k4 fl-‘lfli—fl'u‘: {b} If the particle :is In be trapped in the pmential well at the ieft. between what values ean the mechanical energy.r JET“...E of the particle be? {5 paints} Frat,“ hue-aath wees—e. "Thai ’3]? éE-wee. E 5.1' ‘ if Mpmr'HbEtL rah; ire snapped t-flI-i MW‘Ha: waited“ MIL'HI [e] If the partiele has a mechanieal energy of 4i. between what values of .r is the particle's kinetic energy greatest and what is it? {5 points} EML: Km.) + Latte} —_s Km] = Efitc— Uta.) = 93— [six] Unite} misfit, he M'Ir‘iirseuflr’i- ran at}: [4(1) maximum- EM Myflfih NE SE”- M U421} w mini-wee“ irritates-e KF=0-‘i-t aaa 515:4.1 M '. gets}: Kmte} $4 genres: air-w {d} if the particle's velocity is —2 mfg at x = 113 In. what 1-5 its mechanical mug-1f? {5 paints} K it: 0'3"} L" illlL-I'L = i£1hj]('lflf5]1' = flfj U£1=fl'3“i= 33 Efrem hawk) If: EmL‘a k-{tifl-fiwhj—l- Uf1=fi*l5“fi: _'3 IEHLEf-= Flay: HE'S SeeandMidrerm Page I5 New :8. PEI-II} ...
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105-20001-MT2 (1) - PRUELEM {1} {25 points} In the figurc...

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