“wecHlanies res eo) eects ad ach 22015 On NTN 4 ' Piyrn = Pranien t> wadlers nae a facliels Dynenies” Py, PHY VE # b Phws > nerhunee. Ss . Poowive > lenowlalye, ef ndhure } oxgeeX GD) Plyaied § Phywied ty the nrabwal selence Shak tvoles the al [2 af matleemand Hs motion though ace, and lime clog vith robade Be conee pissuch w anergy and Porece, ale BG fh th the general analynis of ralisce cocduched ta omdese to dimdecstand how the umivere behares. D7 Bitccheries 3 Study of- the: » motion hy moving porchicipler vs “lll mee. LSD) . Pion 15 { Mockanien le, allen} ot tho phyvical seiencer, ap e Gtk motioo of. obicla’the sae of ha. pecth of ann ener shell ov of a space sent dicom Earth to Mans ane cE | Gin cart Patlicle. ‘D, } names? (Dhan. 120 denertthe motimn wee # tel tthe Ahab po oF yechante> ale). Kemal * | he we rebde vast to te “Le ated : ee to -lhe, propacties ff tho. moving eljclss vee dating wie Fale dymcanton \ 1 Cantecan 2: Blar 3. Spherical. | Sade De webotty of «fate. cl hich. tts posifir changer ofl, pea? ®eld drechin chet & vecke quamly = Ss uote || H Mathematically cas onfte, “Y i mS oe + hie of welemaer Scanned with CamScannerve OF Ba eae - vebotly ©. ty the positon of a panticle and v % ths rebel od bh ae os eee euc0ne2at Satekcs Pages Deda. Rebeet Berek of face on liso pasts = Gi) ae QB alien: under. dhe a BNE ne teach of aden lich ardor the. stom of foncce. kes Re ae > cites: AA: when co clyecl deen rok drone ih meepcet lo ts cutuonaringy> then said bbe at rekond gue objet i called ae (hen baky oo > sbiect choyer it a ee ey ia ad ho ial body oe aljech. hak abject tm antl lime ds éalk s ide solonce traveled (a baby 2h a te allel average seo f Scanned with CamScannera le ee omy # ‘ca i alias mito hu saps dinecleh Hig: 2 ae ty obtained by sabbracting theire volacitien. cgpeete. dicection the. ndelhe. vdoctlies - | then tuo bedion m0 yj % ghlaived by cling, “qui shih oldcioed by dividing the tol ULtte es nt “ i s vi (cigr4 “5310 comenk-A1\ —umiforarrveloeity 3) ——————~ ‘ace gen Px tid dicpheement i cola! wey, VE i a time retle of chenge. of Avpbcsr Greed “PIC ARRCSA 2A Vaxiabe. velocity . Shek means vortialle. $f may also ee eecieat eres 6: t vilosily Vs called acedlenotien on ps : ¢ fare. velo at the Aisplacement oft a body be ne eee beset bes ased © Pale af change of udocity with ime cole Scanned with CamScanner fm 4a “at sly» Ve = Aufl one Eh ew ‘he. arerage, acederalion ban deck io io sa watily divided by She ime nopuined be dla ©. 8 Ss ast V-W a PE a Gear ae eer & anemtonal actin along >< -aXi8- ange. of aisflacemer & od ote #(aleahe «¢ equation traafia aoe) ve <0], :: ee ckjeck meng 2 pecan dieclin ath untivn: hsv. ae ds 0. He with duped 0 ard at tines 4 Slemd fhe cbpech Feats oe delance 8 Bg ee De aed tes diene Fat Mia. dt Laing exctadngly geal, fem tte, definition A vckilyg a as oT oJa =vdt —— a ; ‘ a: | When $-0, 6-0 and she £-t,5°% x Ge miegentng epee Oe fee fox =v fit : o GE - vel ; v6 eet @ me pees a ES cedieet = #7 te Pq GaAs 1 G9 ROGOREAGE DOLLEL EL Ga Eble ses poctlion ef fo cyt ee va 2 = Woes + an 8. Ba ce Aa teen os c aa ain Howe, y= eat 008 NL 40880" ae snp ats wiih value the Sue octonhl wd eorpenent Aight Ihe verdiod earperer> of Mhin prajedt Vg = asin Bor at beaause, Ay ar veank ae = OF eens = Bye Scanned with CamScannerOb De reesutlent velocity wet at ont jolon b, ya fener ag raveliyy due cat i jo to 20 ellen/im ine Soh nv ob Ale, cantar accent: The, angle. 0 tat Ihe weedy verter welcer uiith Ao. hori» ak thal aslo ghen bY 3 2 5 5 8 3 5 8 5 3 2 5 8 8 ent eo fhe goth of se padicle =a <5 the ebay veer tony ak cry iat - he. == morte. of | + with =O, By = 0 2-Veo = FN 2 (vocente)t Be for y eo ondinaler y=, S978 and ys = Stn R a eget bgt? ; and devinaling * Fromm Aber, we pore 4 Tv ceseey 9 Ah50 ths expression beeen aa : paonsnly ae ~~ == beng wohich art Jeteromracy be lat, = nad Scanned with CamScanner Wy, f se: / Leng ll hh dime ca ns af ecectercedion . Yh Pod among olkeresGov Nok soln oak iar 6 2 We boas Werte = i 8 ak + Blunt) ame. A jaa 0 pec & ogee ak ES z Wf a axto?he 1S gly he ame 8 eo “essere *x2egs 4B E Cs). eon’ Ce ees 8 * Given Hah, ve =130-0 is Pe esac gh = Pmt Seay £t Vag = 4 460: / ee 5 ye ee ee =008- = 6 Be temo yer 2 yaa + BEL x) A : : pene xb he = 00x52 14-4 *y-9. i wee ee : 264) x ot Vout +t 3 Me «Vet Fat = (sxenJeker1sxe4) = (oecomila nS (450 miten/hr, 2 (a-de0 le) _ due werd, dt » dive.® 3 ects ot a beben am CST) Ay bine) elcly of 82° Aide ota aeaight bilew tebe #0 meter beg a a pein divaeclly hove _ pat of a partide acccteneter ahs aa bomb be neeaned to A ES ies | = qg0d metera/oee 2 a and tose ot 20° . = fas eee) > foal 1) that & ts oo Be: a Ep lla bomb in tri Hime to give: a3 7 $: Drees 66 ae [.68:551:62) ne g37740 = 5B, CBE) _ 52-977949 =F G,, : So BAS 2 Vea t tot jen t 2982610410 eye tay Eto) atc oe Scanned with CamScannerScanned with CamScanner 4 py sina, ,_2x50.xsing a ae 32. a16-09°207 @ Laos of walion ome texte law, of Motion? jonlars Wuee 4 Philosophiae- Mahernation. avon aide of watt ore vareforem moktor change thal: dose ol SSASUTENG ES SSASSAS Be cod pauls xatially two weds) Revie. Ca 1 Pauly gers m ie (es vests cessed ie th Nach a feo lel to Wht, BF are mI nassitle to fnl a-Lamily oft -refencrve, has wo decelerate p har a miaggtlsle Scanned with CamScanner no ame Fy (ou thot tel) bales sly a mesh ar neler Leence of applied force tn a Pro}de eedee ed which is moving with wal awd opposive force » Yaar le. the. push of ourc_hand on the hone of faictian on it, the. book onc any of ang he, hk too © ‘ oad one moving with a ooeslard* ct vty do aceclrcstio 9 ava] una Sha esolant ax is of mation 18:0" 2015 Bg: oak iJ one rnoving wil Gxglorelin [0 boty a! n dhe abeence of a ea ‘are nahural” Syl Bis $ co beemnes clea ahem a bay at cash im oe Ss A ame i> viewed om a seonl inertial -h ; 2 ere coven yeacly Hh respect he Bet ee ea Pople of pealucing: a charge of rome. Airs te. boty to be grat: on obscmax in i of rect oo off motion of am check. on A face Ye that which Finds Ane exe, lat 6 be. mong vith wnifian v4 a re _thmges oe tends te chenge tes stele of a bod: “fo Ala bal to ve vo eet tat. no Slag mE dy & Pi Bee bs « vedlen quortly. ft ben “oA talk eat code, fon | ick boo Hat om heal beth mgelade and Ey Those. foros echich ace. a end from often: ces, but all chen. forces om Jeers oft trove, Face. jane. called fundanent | me yes of Fandeanertel feces exe. thos in ridin t Guavitcinal force. | a Elechcomagnestic. foxce | 4%, shee, suchen re 4. Week Scanned with CamScannerJong nuclear. Buce% ., Bice in elthe, SF ie “ha. eon, mately to~ fasem Res slecngth of. Abe ahuenghh of che wale tis On all praclicles bt hey slasng nuclear. | Scanned with CamScannerae Peg ws AP > cum? + lawia?. Scanned with CamScanner id octien sh which soo ocean ix pains ait on dif edo ast on be sme body ve auld never have aqcclerated mokian brcaune the. netuttant fence on evag] body would > Inve, tak Ake. action arid ceaction Gnees, | > aot on different bodies.” viheace 1 js the, aeass af the. oly cond dccolFiratice, : 2 09° 20 gees SS SSS17 f + ial of one body sider’ over . Buca an dhe, ofbar 1 an each bade ts 10 Fae ody. rutclional force, vc aid t- vation ® kineke fnvek Cee ang be dace abet led foes of atalie: Aretien. The mexinrr fo the dame aa che: amnaltest -Lnce nece! she [euli: OF fe pattnentbace at the. nowmal Lovee ws called Ihe red - A rapeesents the nagrtle, of hee vee of edie << ten ois x 3 te fe) there Hl, in the ea-etieinde of aie: Anion ond HT ot fhe vepimal free. She palit gp hB> ay ot aximm vee.) ete 18 cyndn = 2 ney, aEeOT, \ s 4 Scanned with CamScannereee gs 1. fF ts opprocimalely independent of He ostea of e: aside, limits and : 2-4 ty pregorctional Jo the normal Looee. Scanned with CamScanner S334 fy She fone of teinernatie ni is else reenaomably -todependent of ie. relative peed with which Ihe curfaees move owre each alten ts ab rack, so thet; Nt fous 20 Realvng, our Lanes als x and y= compen lrg Hh. lane of rormal to tbe lane, nepectivdy, we, obdath , N= West = 0, et N Wes 8s, | Ne udsinds,ose : Zs Wide? A base ant) do db veh tt when adltg ow abel, £3 2 Mane ts displrement of the pefnt of appltodtion fh dhe. dinectizn of 6? “8 Aha finse- Ram lhe. definition we om wsaile, aS we Pe 2 +. ee ree ee sere vat int gel ¥en rele. om jo 8 Ba st of nk MAE apben 6 Aeake mo o is poe ge an ry coe arenas! regia: & en Zpeg® eateoHt Goce fe ay Re 2 2 ofl dhe. tence: oS : ‘5 a feces acl ‘a ack at eel Pe 7 sk dine by ah 20% is ee \\ me 2 Pesablay Sax > pe owe CAV ee me-= ear { a= P\ : Meese duning Aha. eral disqleement fem Mi tee to it 26 he Force F hoo a nesrly emmtent wlie ond -he woul tf doer is ayers: inoldy Aw = Cae, hone F be valee of sa. Bece a x45) The total came dine by F in duplacing the ody few x, 0 x9, CE een . e Ay oo j : ft Me gore amen Ly vegalive: worct 2 lide, an which a - fnoe. ackshon m of fonee, Nhe. wore dene, by HENSSAASASSS besisosed | { Tre example. when @ permon wens an! object: do the Scanned with CamScanner vale d abject by Ihe uproar We caw objain om exact racult fom Whe valk done by F if we Bs negative. Gn this cane o Is 190%, -foo F potas el ax gy za and Ae number. of tnlecals Q0 4p infnily prints down. — es er eee Henee., eevee sees Prategi ds MT GU eed ove, dimontenal ewe Let consider: the. worl, done. by a force tf a -foriee, - [fa les} tha ote soonke dane by Fin displacing a kody % to xo, a it es JFeo deim deve by swhlle, Gere — Too: Amer fre Die tres F anttyg on otal may | tery tn dredtin otcy eet oagn ale and the fordicle’ may -move alin} ct (x4 path 5° gempcte: the sone in Bis grrereal cane. divide the path up into q : asrge numberc of small dnplreemeuts an, x ing along ibe path mre of Scanned with CamScanner | destin of motion - i i. i F vi stot Qt. | The ameunt of waoek dene on ita. parcitle during 4 digloem > mee a not be ent ae from, 4 and) Be | dW =P a¥ 2 Fes bdo. Boe ; Howe, suis Ha earccles opeed EES ome yy) ne ne Shem Abe tk dime, Lowe fe =m E emees) CE a ‘ eefoe dmw aft a bly eae vel « “pon done ty the. rezublaat Gece. acing i change im dhe Linekie. energyUe, wed Vil cing ‘ales qi ~ Scanned with CamScanner “the oped ie. anergy Ke mv in oa ano) 02 09) 9.7665 x10 doube: 29-9 x107 Joule. 2 ev. 25-8 W\ Gos es = Babb oteh commmatie he orb dnt by tA Ae es ftough ny UT ui ig ete iilachy st sp camenyatine. les oon dey of A ate gents depante eal on hoe oy ‘he KE of tr Hock, Ama se vem-cornereedivt. thet 2 ee A farce © ide that eons Mcugh i Kiger Pic ee ono pat i ok omy wa 5 Se won conserva. H fhe sane done by tt The. kinetic, energy bs equal Jo the work w/ cox de baler ili i. bought to rests She. wok 5044 CamScanner Scanned wit— Scanned with CamScanner 7 eo 4 Fie. ke. corporat semanenmiusial . ete ae AE 23 : 2 POF Tec. y2).- er =5 oe Tee dines Hone the prrdte % chm to be at xo ab dine dk ado © 2 foo bea) «wrt ben <5 she: eantat’ “etal energy. wre a3 fen iy ech! caller! Z Tao ond three dimenional aomerualive system: % eis a Let ve comic tho PE u & @ Sunchim of Uhnce sper coordinates, Ht w= UGuy2). we lenow thak, bo sui im ome dime , dali enorg{ besowes, vobe dudes Lmv cuted) =E ea free sce), tn dheee dimension. E being te constant ' tai reechani fhe garde moving tom on @ " eal energy age Be consenmdire -foowe F > sade- of Me qradieet of He potential ay 2 Energy may be tt oe Ul EEE cme be o adel on fie dated erergg. ts covalent. $11, called dhe eeineile eanpercuation of enereggudicle. ‘subject -bo the, ofl Be aod wae OS Mile = EP Item = 14-2 2 Dmiet JZem = py pe gad Nzen) Conrider. ft a, segplem of. tow parctelos rm, and me ct 3 Aishemce> 26 and xy respectively, fror onigin 0, we define @ point @, certo. of mast of che system, ana disjance i Xam from in 0, where xen defined ty, Ky + fem, i ele, tn the anyplers ean be de seclow aakelion each perc a cy Piette F tn a pascticudan ae 4 be located by: the. position 6°. Fm - Where, Rete t “Sather Woy + trem +3 dem + M2em - the thyee sealar equation cam be wnitlen ao, Gn ae ST fm which He sum a veeln sum, The, Em; rom =F roy; DMX = Limp ay say! ealre_of ns iahen Fe i c dimension - Bia ba = * 8 body Jcdlor ove vibrades ao H mover, thace « for. three. See eet © ene point on he, body, called he, conten of mars, hob moves 5. Mien = Emi Xt i yy Scanned with CamScannerthen a care moving with colar speed along a, ight level road then the case passes come distance, EAR dan Son i Te sorecansrere ren ena 2 An elevator laser tr coming down ream he top J | | hm the potential \ energy ‘tcansfoxmed to i ercet Ate that wheh the, clevalon top ab the Yor then the jpleniat energy of the elevaln| | spring ts lopt aorpressed by tying Hs enh SE Ahen placed in acid and discs acid ther s'dadsnenction. Able aeaction, ‘he heat 7 es pictmaryy heat: Scanned with CamScannerfron of the canter: of maos’s Consider. her raion of a gy mn and, SN fans osc 74» 7S 1 panicles whose as setlem af-parcticlor- Aolab-cmnasy Se M oreo fixed Mite < mi 1 ADF - VAs is a r: cdl sme + s mn es Mya = sh OE B: Uehara, WE 3S ta welealy of he Fst pedicle, eles @ . napa. Dif Levon) te velscly of Me corto of rneos @, ve jet Ame Wi = Bh me GE oo mad fama —— am A tome - of Da. frst paddle, cle, af the cemlerc of mass lows ‘x second lous of. molion R= mB , Feom og” G we. Get aN ee lal, woos af tbe. group of pasties 4 4 Scanned with CamScannerae Rakion kefsaon tmpulee én momenlim? Dusk imcbreslanding iu The ceelercalion of ike conlere of rnass iy equal to he ous Ao Sue. -forcoor anting en che group of poids Cosecvalion of Lneat Suppose that Me aon ch He edernal es aeling on gylem & 2en0. Thon, | a FE <0 on?” = comslart then the resitlant fore acding on a: aystem Uehd aveclor snomentum of lhe pshem remains este 2h 04-20 oF omentum ~he at ares gsattt ake of he free dang He] tet / Scanned with CamScannerlay woes ta yao volalon Ef evayy yaulche idee Of lich ace om x self a tack wepfing 0.28 0 t stuck ly af with a speed of 90 f¥/sec rie : ie dorshe leatrmemn amgubors gerd wo Us, = Bn 42 dl ee Roat 7 ae se E EP is nol conlerd, then ste pardiole. has an avg We frre coguhy, ot al hen Ibe. avernge. angela acceleration @ of ee die definition of. angler, ccedetation 2 4B’ 4 adt = do reg calng Baer ee yc. 6 ae Saat = Sao ’ 3 Afit = Sedo [4 «conch ] Mh t= bathe, angulan spead toe ond ak ina Lat He angular spel, 40 nod we com write, + Hime 4 and i > he pause fis zt aq = eh. 48 Say ot Be trslakoseve agate acceleration will be, 40 eae 2 Beant ae [he oat of emgebon ao ‘ » ae = fa vitae af Jee Scanned with CamScanner4 ; = respect do Tbe me, 08 hore. fe a acts ‘ 3 from Ane ea ne es; ate al boy a ils i radiva vo on Ake bot rc partic mares to aticele af 3 Fe : dy tolelos eo tm 2G) He eforeree Se t 8 | 5 : 3 2 2 = s 8 a cok: ox ‘e bnes such 09 08 tm te & hana Tagacemnh oy Oe Mp fom hese © Vasr peed of Me gitedsiow 20s hg A a te batt On, i= wits 20 Tio x wore? goto 49", au 36 vadbess? 2OF 6 vodiaw/+ og wendvans [78A. fg tet. bee cl, et nt, speed ore aasalmetion, but ell geitson. a fined oes da have fle same semet, 2pced on qecdlirattion “at ony incteat. By | voalalley ce cm desenibe Ita edi of OM ke. angen quanti 0,0 and & be txpresced tm -exms of wos stead of vailians in Winaneieal ogualion 2 oe hea numberc having mo physical diryension ‘loo Vagfh. Since the. ohne of ¢ & Ann. dksin ane 2 readion sim a complete. Elangetiel acceler). cadicns |= (00" ae edit = 573° \ - % é — Scanned with CamScannerD2 Foye wiende bond of te gol : Se mor Ga C. Be Lh ebile see se4s xa? noble, 2 © pf Bilote chy te aden nevi of angle quay selisholny 2 rio. ee cfhand & Fipa:a~ysiw sok Sota ed rae he degen 7 if Pte te Shon in we ean eawenionlly et" : fhe dex» of Lines vardahles | 9 Me raion rroncure of angles qual sdisloctony So ell x | aghas 7 geen engree Ora ae eA, alc: sine tht on angle red aa he. ratio of ste. inere apeett of: tls. some es w= we, | hers 1 othe. clio of the cover hand 4s cs I the lines peal of He mrinede hand of 2 wrdeh, Vin = Un Ty, where ry i Be radive of the minuhe hand of a Scanned with CamScanner" RorabtonabeDynattics, ' 12-05-2016 inal Ayres i» a sukipet photo ize ud cal object. . ; oy Mrecage treer peal, y= or. Bere, ev equal the distance belween the, sun cond the P ack an a eg with pacpedt Scanned with CamScanner wala Tay4 fn ae cote = axe rex? B pea” = a xidtmes # 4 He wofitide & given ly. a 7 2 pFsing. where O iy tke onde td pand F; is deackin i rocmal origin Oat an. fice. Here.Swer- ’ te cen do cele te enogritide. of Tether a, 2= (ese = PL - -- ate ‘ Bo eerie agglen nore, ime ohn dP on cern)» be orn ie bape. acting on get sengles oP. Agu mentum bry — Uinar) menccken aod gin Gquctin (yb oflen as : TEA we manne 4 ith i E i i | oo Ateees body hao a Kinetic ener: Ci iq ome 9 abou 2 axiy. Each partie vege at a dislowe » for % w and thé near pol a v= ue. Hence, al leinelie. energy, KES pm =p al KE. of the. kody is dhe cum of dhe KENT v cold KE of Me raakcting body con be woniffer Oras - uw atom aes) mer, b the scotadional’ frentia ore mament Scanned with CamScannerhayes inewlia: Petational inertia is the sum of the, products of 2 that, Fe mactee ot Te parlicbs by squared of the. weepeclie §— 9 dn = anipe de. Akomes from the axis of oteclim - we re Then the roketisnal inertia about, fla. etilae ads ts, N inerrka. depento on tbe adios oni about 2 if which i 14 reofee| > well a2 an the shope of the body ant yo T= ferdm = it f pedo an Pee emetic ams adel oy deacon atop ee See oo] aap EPs ") unit i an, Me te. a gee ita 3 te alin ob Ae met. gfe ol cod ft te ems = wae finda) ale Bf hen denaity & etm, 3 up [redo we 3 4 a ibs RY) = nlp at the. comalan ofincere i the. praducl of ts'demity ? velame, (Ree ene. eeE Swot] 3M spn (a= ADL. j peat! ey eylindere of mans M, and over readiwa cc & denelore, | 4m (ein Ds abn Hisriley ici tts i rer, Py equa} oro amd we have a lid T= Me™ Scanned with CamScannerNs) SD About: the cgtindar oxds, whare Rid he taaliva of Nhe. 20 dere of: moss M. he mase ofa hin’ called gilindare here, Goce 9085, aldol al ft ‘ato inertia of ene» oust to the sum of the, mamer® ea doula air in te plane * re EER oak of ikem ni Scanned with CamScannerais 02 passer hwo ~ ugh {Band v ponpendieulan” 4 ate plane of dhe fominas nt A td a particle. af races m be ak Pith pei mater Gey) and situated ot a dislnee p feo he pairs! ot istorseclion cf the © aver. BT 2 3”. aa anes r ened Poncidere 0 lane lamina Ae cody AB ond the “Shes ~ axis ep passes Scanned with CamScanner lk the lamina be divided | info longe humber. of gorehicles. OMA mj, my ,mg AE olerce of a packidles Feam 0D emily ome %,, 2, % ald te, coc AB Siasdy, he. rome AA westia of me about AB anin tb mpd 4 mp hy + 2me eh She manent dh trecdia of me = 5X34 malt Amexsh She moment of merlin of dhe whale Leming okt ‘he aady AB we gien by © = pete mag Amyagh & MATA MAN Ingreh a mace nprenadt = Sine WY brn 2h na en% a he rehnal seardia of a Aiea senitrcm and abegk on. cain gassing, Annorgh As cones. ord genpondteaden te legh:t ) J Ud ws eaten a lid aad lich toed langh » 5 M, and NO air oping on de eondne, + a aw wae Hee Mp xtdx ——--@ f olcdtmal incdia of te vad ce yD in to 0 to Ye Unit om 2 fea aft {8 ade Scanned with CamScannera a thin uniform rod Bout: Anrough ore. — end —af- oN anasto poss pendieutars Jo e Scanned with CamScanner o toda 09 seeret voude vihene $4 The aon gexqenicalae Jo. he eben ch ts oe ) Gede), oe) where in she. comporerd: oP 72 in the te cinerlia Pei ade: es te 3% Se a : v= ado - 1 whieh onde . vle al- lod = ox of a and Ee igh buod snbarrs of 23 es r3 re me fhe. chelol vee = inp corelen! . So2 of dhe. angule 2 Scanned with CamScanneroe on 701, the, tele! teemelns censtanid « tar oft dhe. aagilew Veuuveebeuen wees EMA, LI, t VIM? Scanned with CamScannerO = hemor . wh The paul bebeneaa j ‘ ag es fe bee etw ond Scanned with CamScanner