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Lecture_notes_Jan16

Lecture_notes_Jan16 - 1 CTL‘aqderg itifla ‘r‘ LEA...

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Unformatted text preview: 1 CTL‘aqderg itifla. ‘r‘ LEA; “103’? which? {Wm “M. = I“? (in “1* is... aflafiwv wkl ch I‘m *Qr‘s'i‘ “lag Lacy: O;Mfll NS" = W * laws é[email protected];.sé_m knot? C1 1-5,. “in akucfll W958. H; :14 rim.) Husk: %(maf‘BQ-"1)1+ Afimd‘ who} '-'—' “WK-*1 I U: (5% 91am (5% “pg: A191:— wtnfit I duh. A I. hm? If) MGFiWSS‘ «fin/+1.1 r 4M7 ub‘flfi “PM [aw I ma -C:%¢-rfi Ek‘w'ker \Crdlr 1 L 1w?” 1 '1' It“ ‘0 ‘3— L Lafw‘t #604? 3(w\ P Li'i; L. :L EQLLAJ Zlflrdl" Ltf-Lp ‘J Ir: : at. to. kc =$L£®£ '2 r3pr Since; aqcma kQP'a‘ mw’fi‘s mum Har- {Lav-54.1% Fania 5’ whaigfiéky ugh-Z -") {3r Jeri éflt’j LL Cir-Mega“ M3 you»? Hm “n __:\ :mkfm fircfl‘ dmit- : am; 1* amhili' éwkfi‘ “5 “‘9‘? Mwmfim 1 w (211+ amid“ 4:” "Fit‘t'x f6 ‘5 raw.me {3mm r¢5+ ‘- 3.631th mgr-fit 1 E1 Arm L L.) wTaAMs 5*F11‘3J3‘1‘Sfl'1aq ucwf? . Dig-d .3- “ *9 6% 5%:Afi‘ "t3 ElimHmarb‘ A501 [4‘me do mag/1*yfs T— flint—kgmui 4 3’ I .13“ \[email protected] A figure skater stands on one spot on the ice (assumed frictionless) and Spins around with her arms extended. When she pulls in her arms, she reduces her rotational inertia and her angular speed increases so that her angu— ' lar momentum is conserved. Compared to her initial rotational kinetic energy, her rotation— al kinetic energy after she has pulled in her arms must be ' 1. the same. @larger because she’s rotating faster. 3? smaller because her rotational inertia is smaller. u- alof- L 3* :‘cot : Igw :) awarded 1!. 1' 11¢" Erik'- gfilw3m : ERLW ELL; * ELL W , KR£“J§LL¥L"‘¥ Illav‘h’ Li— m and [Jog 29%.] SD il“til-4‘; 3) km; Mm}? lees Lmrk m M +9 claw ir— 7'." C) arj‘rm Ian-.QI‘fi-f CM 5. 43m Pp'l'enhflxl "D ELL at”! M! L “Wm Two cylinders of the same size and mass roll down an incline. Cylinder A has most of its weight concentrated at the rim, while cylin- der B has most of its 1weight concentrated at the center. Which reaches the bottom of the incline first? LA B @D 3. Both reach the bottom at the same time. i 01* E 5 C} M? will 15' :— 5 Kg, 1' k—Hd-g Edi; [acfH'Oa‘fi i. mfik '- ‘ilm" 4: tamer“ 2) Sw'vgr‘rd" ($14: Wig gikijm rim-5+- iccr-eflJ-fi P4- : fimfi Jr grant -_ limo“ r__FF____ 5:: U: ":3. ’g,‘ Mari 3“) J. 1, A solid disk and a ring roll down an incline. The ring is slower than the disk if 1. mrmg = mdisk, where 15 the merual mass. 2. 1}ng = rah-3k, where r 1s the radlus. 3' mring = mdisk and rising = rdisk' C9 The ring is always slower regardless of the relative values of m and r. (if: wL 5.1mm Effluimi PralgtE-fl: Makr maul-£68 -—) a f Rape. Luhédrr. I. \mifll/gdr 1 be; SKQWU [- ...
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