Chapter -2 Metin sma Stasipht ne Y Metion = Motion i difened a Change +n position Of am Object with tone, # The Brarel of Phyics which deale vith, the Studs of ametion Of ches 44 Called Mechanics. Kimematicg -— The Bramch of mechamicy Urhuch, deal With the etd. omstion of Objects coca Going lmtp Hhe Causey & Meoheon- # Typel of motion of o go Ms A beds Com Rave $2llo.2ry daze Thee of amotien | — CG) Rect bnens o + ™etioen sf am objet ig along Q Misigkt Aine hen the motion iy Cbled Rectibeness aretion . (8) Retationall Motion 64 Cixcules mation '— Usken Fhe Object mov alen ) & Crcalber peth 9 fhe amotion y Called Crtuber OA Retedionel aetlon. metien!- bsham the WY mstion!— shen the object arose, 0 ard $40 about a tix.) ,y ft Point object When the igo of object a auch Amellles Ahan Ae cbiytamce if emovege ma gin srdavell of tome, then fhe A130 of dhe Object Cam be meglected and Cam be Comjolered af pont Akan je. | FOB epample:- (shite Ltuding thr sevebution Cart around tre Sum » Cp. cuss and Sum Com he Conydtted as pomt objede fecaupe Hois Chameter ty i Imlay Compared fo obizfance between tol’ smclaty, a cs Aavelling a few Kilometer diem, Can fe then ag. 0 poerit Object. Frame Rk hence )— yshun & point Objet 41 m Teton amd we” want Jo specfy Lbs, position 9 Ahem We need to we Atforunte pemt and & Z¥¢tem, of Coordinate Anker » we alte Kepuie clock 4pfy Peition of object at amy impart of me. Gen 7a Rectangles Cook dinede 4iyhem, Contin: of Shice Gut perpendicles, Anes, Lbdlled” X.Y and 2-€04 Loith a clack Comte 4 fume of Reference. The Poinf Lo 7 ad, sta axed eh wep 6& Mf ardesaction © ef rere "enue Suheme pamt oe oe 7 Oe oe otf of Gettinde sgitem They, posh 5 Objet at any Fume 4 Cam be Apec fred by (2% 4,?) postion Coordimdes- 4 Fige Rect ampules fame of Reference Motion im One, an iomemuong | — C1) Gre dimensional ametion | af one of She. Hhree ds Cogtdinede+ jpec-bying position of object Chany wet time. Tn wing dre os we a Mraight Gime and Ae ametion U ate known aj cil UAE os Hach coher 4 Pain oly Height Rear : A obese 4g’ fray dn osc(1) Metion in Tso - Qiarertton \- Ty duo of the em thes Binrerten Ahiwe Co-ordinator Angie Abs. fosttion Of Object Cham: Oe f Aime, then the ometion of objed ib “CaNled 4r00 dimerpenol msfien Tn Such a motion the Object amore in a blame. Ex1-O An insect Charsbling om Are floor of sha oom. cradle motion ofan object BA Con emoviny alow a 2iy 299 path (i) PMetion im Thate dimeniong— Tp all thn thate Coordimades Apecifing sthe position of chiect Pele es Ame, ten Ca ction o ee aes 3-Dimensionel matin Im Vuch & motion Object Move ima ce, a A Bind Lying Im He Sk Ramde-m ametion orele Stabler & Vector 4 gq cule H Scalar Yombbig '— The Quantities that fae Magritede but Mo olirection WL Cled Acalan- Example !— may Change , clunaty amd Tempsature. “f Pe Fost Many: Vector Yuanditicg - The yoarcttice Hat grtude * ay well ag clirection are Called Vectot Juanbtiog errampe ~ Bixplacernuicty Velocity, ecole rstion amdhector Yramdtes Aha Aepreserted & a dngle Lede Witham arrowhead on it for exam ble elooty | Se gale el patent Oy 7 &™ Gntude AL Ath rcyerte by | : Sa Distance amd Displacement Distamcee :— He fe ance: The Jotel Lara pat traversed by am object y cabled | distamce Aravelled by heoljids Yb ix a Becher. Yancy > Risfamce vlled ip algo Known as pth Lemte, Displacement - The Ahertet olvteme between the fined rd intl positions of Pha cbjed Us Callled Liplecament Bisplecemert Us a vector sporty UC Ray beth aregmitide aml dection. Fot examble.- if a person Woh Ym dur. nox, ons Sm due eo g Han the Liste Bavkey I$ ‘Tom 4 utile the Daplacernent CAAaisht Lime Jeng fim sme fosition do ink position S Rane Arection a2 Wel ay megrtide Lomptr) and if iy 5m,a, 2" 8 Duflecerent c Jw? see yom Pe > [wave has-& O Wolel- Displacement Cam be AVE y—Ve OA 220 F Avosaye veloc amd Avereye Sel = Average web ety Average velocity ty deffmed a4 Displacement Ai vided Wh fine Jmder val BH) im vbich Displacement - Occurs « a y= 4% “ferns BX %G-4 O Baer Whar K, amd X, are bositions of ao Ay amd Aashectotly. The ST unity of, velocity i ams or més). Like tp Lacermemst AV vast i alse a ect pontfy Ke NIE, ftir feist © 4H vi) 8) Ve way ©) 2, (@ 4vevebcly (b) -ve vebcity ©) rp, odeat fage Sheed '- TA dehmed ay tote! Distance Noo Spel es by thu fool Hm Imtervel dung otich dhe amodion tahen place Speed = Tete path Kemet (Diemce daveb) Arercge Sh Tek dime lectervel ST umly of Averare Speel ate fame of Hat | wdc ire. te Speed Ue a Scolar fuomhty and is alloy +Ve, # Inyptantameoy \selodty'< The ‘preety het we Fow am object 4 amovin Oong where ads ty pedt me ire: vel 04 mht, Called \sebocity. Tay dehim ed a dirplecomerit 6x) devidel Bay inn Home interval in shied, dit Racomerd Celie Hebe time indervil 4 to tral Hag tf cheb. 280 4 0)- Te expe omethematicaly » pesition x of the ‘olged Convidered ap Contineu func of Home (+). Tonftarten evs valet b= ALS pee 7 q) O Sily fhe closed of X with duped #7 Ye ow) ar | eee ee enF vs wsmerical | The Poitier chon object onoving 7 = e Tams 4 jon x= abt where A= 8-5 m, bs Sn amd + 1% ancatured im Aecend - what up Ade vel at trogand += Qs. what i4 ths AveRae. chai between = 2-0 Sec amd +2 Yo See P Setstion'= Given posiher of object ix given by Xe Atbg? Uhre A= 2.5 9 be 25 amg? Velocity = dx d (ares) apt dt dt } Veo Fe Roe Vy gy = BX RSXQ= fom, ak %-% 4F 58, £1 Q0 se y Bae YO See D Gs at bar. G54 25 x(Q) = \e.s am 2 athe? > B54 Q5X (YW) = YRS m @ AWorage viet re Thus arsere Oh ce iy, age Velouty G = es aR (Sms! 3e a2+ Mnf an en-uniftnron “nfeten metien An object 4 paid to ba 1m Uniform “motion Af be velo does mst Change with Homey re ig Umer goer each Litphecoment in eyark sorkervally of dime. Men —unifoton ‘mation = st object dt sail 4° be dn Men Uniform anetion 4 D4 velocity changes tolty et eMpel displacement jm sf tome « ai t— +t @) Uniform ametien ©) voy unw-ferin ametion7 accelbwstion '~ | Average accelrration a) !~ The Averoge acceleration (@) GL a diame interval 3 defined an She | Change of velocity dowicled by the time Jrtersval:- a-“4%-% oA FF, at shun Vy amd Vi he Jmptamtumeoy. vebdtrep OL Hienlfy Selects at time $, amd Hy. The ST Umit sf accelesaten 4 ams, @) Litaridanesus aecelerchon Tg Intferrfonegug. ee eee accelrrcdion % aery acchesation 4 olefined a. dorivetve of velocity oo-4 4 Som 4) , Lin AV dy * hoo ad Ie |= @ The accclration at an Anitunt Ay Ae Slope of Aha domgent Fo He 0+ Curve at that Jpfeoit Acceleration ic a yector parc Acc cbercton Con be tve , “Ve Hh 200. Folthon Aime Pbk fot aeton Wits positive , mize and Zosa Aecelbtation 2 Bourn in 19 (Ab) and (ctt eit t 3, ‘tl - K] fidiee) x) again) / (ay #9 37 ) 1 (b) 4 ‘nifeomds accelerated ametion k& Ce trme Pept on !— Uniformly Accolesateel moth " shen @ body MOY ma Mrsight Line With Constant docelration » ham dhe Motien of body 4 Cable J , decelerated motion. Example: pation veh M9 Bod ina tniprrnly accolsest~| Nel Im Uniform, accelercted ametion , he veloc, f objet heat ep Cyual amounts im eytal Mnfervel of Fie. Lom - Vriforrmby Gecely ated motion, Fhe avge peel Ner GB) etry cthe Constant alae of accobastion (A. \EY Aha uci Hy of objed iy MU at fine 4 2 amd Sot Some +, Hon a: o- r= doo } A ast -U Ft - = |= tot | “The velocity a re GH fo vniforny atcelerated ametion with | ntl eit U amg finek velocity V a postive Gnatert acclrcton a 44 Mew in . Si mato The @hea urdar fhe Cave in ye Ft time Interred: ee ”H Kim ematic Eyedions ft Unifmdy Aeceliseted Motion’ Consideh an object ‘moving along a AMrsight Lime it, “nitstr Qeccbration ©. Lt u be the imtl volec: Of He object at time too and \i be He find telociy of the Objet at time 4 ag Shevon mm & yp AeA pale of te nation it Mnigh hime Ag, p Cl) The aeccelretion ‘a of Ha chet ts given ae So we NG Cynct Sselaity) wr Ww Cini velit) Aa *\ 7 7) a, a Yeu Veh 2 Ye =) a FOO 7OH A€4F2 Yeu * wet] @ in 4 fast Kinematic eye of amet an fer 7 Onc ele ret ec] motion. * W) A we Know Aha. are Unda the Curve iin wet qr Aapreserte the Artal Lisp le Comer ef dhe Objet Jf Sty the adel dipplacomest ef He Objet , thon S= Pres of A ABD + Phen of ucboale ONDE D Ss LAD K80 + oF x of Ss = Ad x) 4a *u > Sz tye - bat + ad Se get tus: 41) = Lwt + 2) Ss phe t+ tu y = At Ww +at | 7 on @) . >) 5 > C ) aba be ~ | ~ phe t tatty bur bypittig — ee a _— NS a) area oe eg t wou ; from ® \m Y~@ , Sz eee =)+ sesh -_ a Wada W402 gus a eae = Ww a Qa —_ “tye bos BAK BP yw § > sa te ( (+1) SB +2 2a “s) 2 S2 ML Ww Ra Ba ea ie 4 ) 2 Qaa } He Obttim ejuction ef metion one 9 | wns ims, Medd es Ane - Conta Aeeelescton caayueoermnsen Gj Ante a OL dvs = adt | Tatoos Bot Ss: pate te Si + fer ar 1o ‘ Ni (Slo = asi? \-uw s a (t-o) Vieae at An |we ura t | : CD i) Furtor , oS Ax at i Axe gdt wget Bet, Sicley ja = fou gaan Foose y fam (Din above ey. a”7 Sie at dt [: bess] L 4 + \x] = (uae + fata ° 4 4 o )hU XX =u (4a tal gat oO ° + xY-% a u\F] +a x x 2 HX > UO) 4 {Ee -°) oi Y- Xe UF +N adr 2 wher $2 X-X, ly the Meplacomut of Hes objet » te initicd powton Xq and final beritier| q: iy My Qa- AY / a Q Combe Written ag i a: Av Ax ae = Wd ee dx dt AX [sa /7 ia aa Xo i x 2, alle = [| yw QO (X-%) 2 WP ue 2 2 OL as 21 u*) A » [ut Bs] —e Moe $= Ka 2a chitfhercer? Of byt.Nwmercad \~ A ball uy Sram Vertic upward Louth O Need of 2 o ang! from Hoe sp ofc orultiten Pall The hight of dhe pit from en ey ball iy Meron ty 95. 00m om Sut & How Rik Uwill ke ball Rize? andb) Row | Lorg Will of be bere Ars balll Rity hs ground Toke d> (ome?, oe i Are Webout{s) = om! Ac celwration (a) = Ge -loma? inictial postion of, ball (,) = 257m UW fimed popition coh omen Buys RF 4, be He time “toleen fall Ao Asccl At Manni us, Aha fhm Bein of mestion a WwePowe ’ Wa ut at > © = Qo+€lo)x 4, > =» tok, < 20 ' = aie 2 Seceee ee wee ee . from Record ey of ametion ohh Ada ha cerns : S of dhe ball Cs- y-y.) in time Az 2Sec th Fey i Se usr bak | (Gyo) = 20 x2 Fb Cl y-25 = Yor (x Cl) *4* Zz 25 Ye—20 = Qom j = d= 204265 = Hom Ths 5 Hea magnum heislt Aeachad He bah is sm ftom ttn found. Se b ¥ E ; DD xe im he 2 ge arebat > [ei ‘ as (om > us 2 547 3 ~» Are 45.9 D> 4-39 +2 rJk BSA, He Ground (4) = ex tye Qt3 Sse