4 PCC eee Een CL , cei token 3 i i A bedigs t , ia a woah a My ~ “ging —> Work & Power tn Ref? Motion — Rolling Moki 2 its oppbortins H Moment of Inertia * ~?*: Gh is the cane faperty analegus to inerbagin 4% mobs Suertia Fe Fema ] tov a giver owe feel ee mm? ” Sinking Moment of Gubeia —> moss T+I« de distibsh a= armund AoR on , ha ue stat hone! H Moment af Guertin of a poiad mass iv Crear Mohen® + Rinciiah fib partial q [xem |H Mot of on erteded body iu Relation! Motion f- (Aor) MT ob the clemental wort dee th AL = dun Tofol 2 of solale bedy i at = [mn] Valid for all aged bedean Mal debords Q pends on Locate 3 40R for a motating bedy Moment of Gaertie of a Ring Since MeT= [dora dn = MA xde on‘ Spheve 4 mot of a Hollow ——— dm = _ , buss) Kso mot SH ste Be 3A RIND WAY, AN \ dine eR a2 oD>p te ‘ PACED pu ee Se ee re 2 BAAS ta on ; meee ie et scecedibbicsoaaag rA Mor of Selid shlere -2 ee hor of a Solid une 2 dm = SM mA dee 7eH seu igs aa Snipes 4: sl CUE eee eee ecidainensadddd n(Ab Mor of « tu Red * mans clowadel 249.» dive M. nay) rie . me Sindtarky mot com be found sub abst ome ond of the aed, dp c aie HH Ayes theorem fy colealation of mor s— fev calentalion o{ Mot abaud Ai}jeved AR, biker Hom Standard Central Ao, we use avet Here There one tus axes tMeovens — W Perperdiaday Aves Theover © Parallel Ayes Theorem Gf Pespordientoy Mute Theevew = Ths theoven i applicable only for Lenina brdies tee, 4 : BRR eee eed dees ddd yivyPreeteeree Te OTD DDE ee as eh a + =) 3 a = c * = 2 i mo a a “Gy ee i to oe 7 444 + : 3 WY : ‘ VS + = q < 3 3 af) a { é | 2 U 4 ig | ee . < 3 >! Alve # — Yonablet Anis Theorem $b is vabld for oll tyhes th Rig nbnK = 1 a me . 4 AS aL hotles 8 solid shee ject 1a = bee cg Hotters 5 rene TOM Ms mn ie Se mats fis ( ? Solid Sohne G H Radiat af Gprshon equvdleat CORA eAMAee dainnntdagay ed mi} Regt Aleck Cant © Bot Spheve , alosut Contre AOR Lz 2ofp™. yy 5 ee k= ER vs Codrad FOR T> BS up™ 2 Me™ io k> ER He Shad He moment of Tubrtia of a Spherical abl of mans om, Aédins teith ibs Centre attached of the ed of a fhe Shuight med of male M amd log L abouch amis ther end at ied 13 perpertioter to it OR> Poy a gelid cene abt wW> CW Ci UIK> pasnng Homgh Hie ’ Be ats. ; 2 i Seer 2eat ml £ as. 3 > # Gad moment of Traska of 0 ball Mise of radius Ry fmm which, a Smaller Ase aL vadie Ry i ad about on ave of tation baring Horgh Hie conten cud ferhenbialay fo plane of dice Mau of tic disc is M ae fal 2Li ATTA Newhwle second Law § Potehienel Motion :— Js We kno te tern ekomdvon in Taamstadionol Mitiew t= afenr Sidon) Sie Reintieel motion =t, -10 27> of mohion > ga. fie = ie & A untfom od of BL and mass is buged at topmest bein Ts neleased cameo fositin uhue it makes om ample B weith Verhieal 6 hewn. Find He acederation of the Hp of aed jut after it is rwtensed sl™ oe ber ie oe ber F peeondie is, DEOL ad ee Aral se 4 Pheerd Mackive vite fpitiy betueew sting of fully . LAG -w awToot? . . oh A wily dice of redive Ris bit Sfinned about its avis to te En:- 7 argulat Sheed 00 and then carchuuty Ploced vith its fab face ow a vol henizentel surface. How lang will He disc be vtnting eu the surface the piction ceethicet We equaf t me J dm 4 He hee: sede sat ™ T4 , fan = {449M 2te4e ° wR Untar Momentum Coit) Rotational Metin ——> Angulav Momenune 4 gmonest os Lneat momentum q the product of Linear mower sith tbe Bhouleat distonce af Une ofp motion [wom the Di about which ompular momentum Us token # Different Geet for cotedahion of Anpelan Mementum 3 Case 1— Angular monerhan ch a ponticle maving in a shaight Line ee A= DoD Lax 2 wed Lee ese, =) J ey Aapuler momentum of om wort XieCaselL*~ Anguler Mowentin oh Any Cote # baw of Conservation of, Argan Momentum 3 — fovea wtehig wad bey : Lete A wrt Newton's nd lo fov rot? mehion "Rete of charge of aegulin momenta of 4 natating edly equal to mek torque acting ov it.” Sh bor a cysteine T= 9) ALE oped enter. ee al A edbedddesbedéediaicaeicanaan =" SSE E Fi a ae 4 Lae LN Cee a aAL fora syte trdice, ran ae ‘i ed eed ‘ evtem ae, Sythe, Yn obsance of at faque ™, *Y Antal onqulan moment of a8 cls ra roa set ee me he system sith sama tensheet Ae mo evternal torque (8 brasent heve, Wicunsovel Since To wt ore “cy Cd (ame = Ci npheme) 5 ees a) ey. Awwk HE of wraee Mawd Legtt L tba a Ned tA shaon & qa ia face Ho tote Oboat the frit Tha batt of mate some oe uw stiyes the otha ed sh ned ond sheks te it, find the Sa hued with whch ark with weve alias cells ‘ sal Soi: (us, » aed, I 2a soar oes et ™ is 2 Cal: sf MU oh ats ms Fok wea redins R, w can th inewie of ple vu atlative to bl 4 peed at platters atew Jor Vey = & t 2 O= am (me! +My, + Wei x fothe 1 in Riven oppusile te we T4mh™ a Ba: A Wonizontat cinceter plattorm of mass and vadive R and moment T which is free tr aslete ebact a veel Oris pasting 4¥ artating ab av wlov ‘Shead WO, A Stats Walkiug Ion Re ine Pebhng ts mhpesite. direction vith Sheed u aelahive to bitten, wh GUL be Fre veo anguler sheed P pLtfara <[5 1 ee, | ee ae Vorp = e nh _ vi ‘E Ve > boty = Vp (U- 48) “Emp 4 = ty Sewn aa see beeedediseaeccoaeg ld az 2, o aie mR (UHR) 430, rey /F Nw a mar Cu-oj6) 4 Tah + ARs /2 tol gt (u-9jh) 420, TOR Or |e peIp A feta mags 16 tied ty ene end 4 a cord , other ond of which pores argh a bellow tube, emglt in ere hed The point mass ls beng nevolved jaa worked crcle of radius 2m with Sheed Amjs. The cord is then putter dose So thet te nadus of circle reluces ty tm. Compute the need naar anh uqullar veleities A He point ~0ss Wek BRD Y= RIO, ot 2 We 2,= Brod fea Aegiten hee + ay Crate Jranstatienal woliow for aa coeies. ( ter Hoe tif, avg sPeod of bec / ah He dnaty {64 ep. be, moe Auangee 4p 104 [20 +B -2,] Ext The hed of ridings Rad vel I a dawn th Hoare |e nedemred from vest with a mars m tied +e am (deal Bre shuiug Wubbed ev wheel flud He Sheed Phir ania. Hn ps jinn “oom DALAL aA Gay RDO | pA Cade CEC eAee eee eeacceRaH EnTT > CH > ; Veusat “k> eS TD Using Tnpulse equation 2 ~ y AS tee ween Orme Te md —O 7 . eS (rita) : OR mAGR ches, Ott re me™ H Kinetic Engy fa Ry Sof 4 Rotehen 2 & * — k= bay < No? ia ie NE ak = 125@a)" ‘ Nw? ee NN saa as, We ke fax = fgdntor= pot feet Obewt aLA) ‘ “ke 2 + ear £ a B] + ¥ eerie s 2 bes < 2 ia i = re 7 22 1 laa a x oad i % * rg 5 s Ee 2 PF 178 je pi = P 2 5 8 a +. ed 234 4 iA) AN \F Te e H Types of Rollie Motion : — SDRQepas s oeih Ver Re ) the contact will be at rer e No Dy ann te |echow willl ach at the bettow most point. Co stiding) Q friekion, if eviske, wi be state frickion ely Ome —> Th fey ie present | —atatic ae OE Panu ie mat tee fo 0 Lote faichny) + Ralting wit, Siding Na? Rie Mow, a5 hme pases, Ay, witt brovidea toques wheel innense We ond algo, as if aete fr dn® tbh + Ve, Se id wil decree % VePEELE POE2 Late | Se AAS + dn age pure atling in & eblen, solation wilt net Le dhecked by Aineohiow fylction Dm Lardy - ' Ens A cyfinder of mass M ond sadiut R nos within Bipphing down an Fackned ak lath & as shown, Find the Lineay ace? Hy the Gytinda Also find Hae mada Gutking eotict aquired ow the (netintd Plame or which the opi does wot stb. a a MR rg me OS Mgrind—f = Ma —th A (Os. —b a a? Msn — Me a , aa) Spe. ygnce aes (2) 5 4 pigiose - 2 ox i ~ 2 Ae igeso a fe ene tf a Or Mga tant 7 . 2 Mymd a mgr > 4 " feast? ny t Ex A Figuie sews a cainder er uhidh o Sting in wiabbed aud other emd nf which | ig comected to a hanging mast om. Tt cytndeay moves in pune retlig tind He ' acceleration eh tug mans : im ay J vgn Son oe wha amt ; 1 | ® mg-T = may - ©ee ‘cand — ore -T= ma, - ve } ! areca ey | fella, wedensenneie r g 5 ey pep om ai \z PPP a QipJa le |p FH Fire stavs 2 bad mae ™ birced os weege Surface of a plark of econ ass Gu hel ic Raced OM a awoth av plank is bulted toy a Nowzertat force f. find Urear accelastion of flack ancl cybinber” ie a Gytnder ia wot stibbing flav g a - . _e- ey Ren 29) «Re j SHR] Es vc Rus thon Fen =O 3 i tamg O20) ae Res 2 » ee a gcse EE Te f bag = oy Tey — fe 54 om EA Heck oh wo ig sed ove Ce an a og Bee y Ee of \ Cael t- v7 Re Om ( Sede Ys sped ce) ( a = mye 4 5 fae re tS Is (Ueeeeneeee) ms npn i" (sete “ Crab) ‘4209, 5 APD ei. « ee me (MEY 8% mrTTI Tnpulse ” otk ee er 3 amaft ee do. . (mel), YS é (ora Segnge” 7 “a ee A nig Sic shast of was wt nd sais IGE a cunjoce te WE Shawbly kya. cue Levisentally 98 lon: am 0 ‘Anes wt stip over the Sattace Gott 2 Sheil ascanet sub Efrem begin —s karts pie nating B= RO 4 monectuise _Snpobse og 2 > {ime depabe Tis infested | poplar inpae — Th= (402) [Z) Aph= Zdep a h=-2R Ae peavuveey ~, ~ = ' ~ a TF a ? 2 a - a A aelid cpendier ak tins © in sein Avtation chet ity ais with ten Angle Gpeed w ,Sthan lovee with ite Late Surface one 4 hstemtsl abet : veleased. Frichon coethicied Lehweey Cylinder ond plane i Hy tind the tine after ubich Sefteder pees pine nating > vee YR Tupulse 24" am Hadas Ay 9 CO) paperLOY sovqaes ER vf in Dsp = W=(FR ED Ae sone other ber An aeckw’c wot Paver P is connected wth a pulley and a Shite 4h tdeveh snaas om bs heeging. Fad the Ma" sheed ab uhich main cae Bet Aiur wrk watt Sem ond Lagi L fa banging cm a Moje Ha shan, A ab mam vo moing luvicodaily of Shed w atukes the end of Smatt bast ded eleaticadly. Frad the seid of ball ord angular Speed of sed past efter cotton ae Gos dower ong nonevtente ic al | Tay a Hilt Maloy wr osel 0 pe PRR tp! es +, \ oy ‘4 ees i teh we gut wL-v2 u -yahey Kaforviguit peal aid WAY we wd Wsltol etd 9 OB nts 0 enor Bhat