ksnquiz - Class Quiz 1(January 2002 30 minutes(See Figure A...

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Unformatted text preview: Class Quiz 1 (January 2002) 30 minutes (See Figure} A wheel is made from a hoop of mass M and radius R and two thin rods. each of mass M and length L=2R, fastened across two diameters of the hoop. A thin string is wound around the hoop. The wheel is placed on a level surface and the string passed over a massless and frictionless pulley. A mass m=M is suspended from the string. The system is released from rest and the wheel rolls without slipping. (3) Determine the CM moment ofinertia about an axis perpendicular to the plane - ofthe wheel. (1)) At some instant, the CM speed of the wheel is it. What is the speed u of the hanging mass at that instant? (c) When the hanging mass has fallen a distance 3! (starting from rest), what are the smed and acceleration of the CM of the wheel? Class Quiz 1 CE,F‘,G:,H) 50L“. 0t) From We flfifia-owfn'o’n shagt, ‘h (Hoar) - H = MR3“ (R013) 7. IcM :T‘EML :iliMCzRf': -Iéwzz H ) ICWHELEL) : IC 00? +2IC’3RDD) CM CM 2—. MR2Ei-I-1’/§,__[ = @BDHR1 5) L121: T 123-: T'Fu. fipmosl" pain-t OJ: T [lie wheel. od~ Hive [magi-ant given. ' VT=2V "TI-I‘m VT 7:: U. - Baht.) VT = (033(19): 2wR:2\/, Wre V: cm 5M5 ddt‘vdkal. 13 "Ire 3V 1: so , P ° u K2? + DC? :—_ H; + U} : O + OastyQI-am‘ce) émuz+éHwh¢er V1 +'l5_IcmmL-'— "1-88- :0 Set- ‘M:M, “LL:’2V 3 MwMeI:BM 3 Icm = é/BDHRL M50 , jifm KcnemoLHcs) 10.): V75: l JiMCZV)L+—*-2C3H)vz+-L2-%le :: M3? JiMVl [4434*5/3] : H83 Ev; :85 =>- 173‘: Sana/{3 E) F0 Obtacnn H26 CM acceln Cd) The (‘j‘oa'oJSJ—U‘VF «dark ’0': : {353’ 33' Td§jleten+ioxte [mm scales w-r-t- “Hume (t)- dw ._ _3_F dd 9‘“- fi' — 13 8" cu: 0'3 3‘— 'U' ‘1 = ~13; 3 ._ 5 . . ‘ o. _ —-—13 3 fag—fl T>U~TECC) 7 Mat (rt?) .‘ MMH'YL ‘51-'5'?‘ 33M +1400 j—‘bdfi L3; 953?: P'PPL‘E} 1.0me +oazchn boda- x: 1-4-55 : HMO. :snm -ci> 3: m. :3H3_.__.(;;) 21;” = (wt—{QR = Imoc-~- cm) Map-T '2: M02 -- \ Sw®1<cm+.ma_+ocs ; usa/R ) 02:10. #22001 We; 501U{ : Qfi‘ff't'r'): T-~Pb= fig Ha. actourné (ncmd Cv) 2.1" : Q4/3)M0- T': [7/33H0x —-LVI) 82% (iv) _—; Mgfi-Tr: 24w“ H3 — 37”“ = Ma “5619‘“ or, 5 :C3J3)g ,as 5:111:72. 76 get 1r) use. ”at: 2ax (wmt) izvm Habvui—Mw , )C '1." i1“! ll '17:": Cl)’...
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