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PHYSICS CLASS XI UNIT 1 Motion In a Straight Line UNIT2 | Newton's Laws of Motion UNIT3 | Work Energy Power UNIT 4 Rotational Motion UNIT 5 Gravitation UNIT 6 Fluids UNIT 7 Thermal Matter UNIT 8 Thermodynamics UNIT 9 Gaseous State UNIT 10| Oscillations UNIT 11| Waves Noe: UNIT 1 MOTION IN A STRAIGHT LINE * Speed ° Average > Total distance trovelled —Totol time taken [ts Average 8 \+S24S89 00" | Vu V3 2 dim BS= OS © Instantaneous dim weet « Velo erty C) Average. Velocicty Vv = fotal dis placement = oe Total time taken at . Jaskan taneous Vel scity v= kim Aw: dx O20 bt “dt * Acceleration . Oo Ot Arte ° Avevoge acceleration av Lh i cask = lt = dv . Tnstantaneous Acceleration ainst + lim ay ~ + Displacement in nth second = & (2n-1) = (uewt Syt Ut a nel) ut p Veloaty ok any geneval point Nef ue + pr t*-2(usind) at Object projected from Some hatgt ot some angle fc) T+ J Th + thy wt" cy whe , T+ 2usin® a Lj tlme token to Shrike The ground _—— Oo ye fur sigh Partides strike indined Plane * 4 T= 2u Sind g casB 4 Q) Hz Wesin'X Loby4) 2g asp 3) Re dur Sine costs B) gust WO + partic, pry up] down, the indined plone Relabive motion between two projectiles es UjwS%,-U,Sk, Urny®= Usina,— Ving * U2SiNx, Collision of wo Particles « tanB = USiNe ,— USin%a CoS 0f,— Up coSoly oa Ka B: divection of Vp (tt 8) For Collision: tom B = tan = how hi x Relative Motion * Moving in aa direction : Vex AT Von" Siren fe ° Moving in PP: direction : = Ven Escalotor ; « Person moving up : Vp V perSon= Vat Ve h + Persot lle doym: - Vpevson = Vp-VE Miyimum _ Seporation } ae u dAmin* disine a 8 A Fond? 4 sf Vv V River Problem 5s poe Vo sin® a 2) Dritt = (vgcos® 4Nx)T 2 8 Ms 3) Ve J vtavyh+ 2a cos8 Ny Ni a a Rain Problem Cirewlay Motion Ve ve adnal vdouty ot person v= J (veve sind)” + Wy cose)” ys 4) Tsime* mv Vv 2) Tws8 = ™4 4) Angular Displacernent G pe= OS r 2) Ang vlow Preceleration X= lim SO 6b790 B+ Lt aera so Y- 3) Angular Veloaty W= 48 = 48 be BE VvV=rw Nuh UNIT 2 NEWTON'S LAWS OF MOTION First Low of Motion Every body continues go be m ifs Stab of vest or of tmiform motion Mm a Atraight Aint unless compelled by Aome, external pre to act. Second Laur of Motion The vat of change ot Momentum of a body is divecthy prapactionel to th opplied fora and takes Place in the clivection tn Which The fore acts. z Fe kd fav) ior eae Fz mdv = Ma dt third Laur of Motion Te sa ochion Ahvw iS equal and ii yeaction. ostte Fin =~ "eh ze Lows of Conservation of Momentum Pint a 2 Pat Pe Lonpulse = Chang e in Momentum Nib - -Um- = Lam's ~ heorem If three forces acting on o& particle One Mm ea uti kai , then A =: 68 = C- Sin B smy Sink Equili briurs of particle wdure wt external fore on portich. is zew Friction ft) Liviting Friction fe (enax) = UsR 2) lernetic friction fee MicR . Avgle of Repose Als tonX —“ dene ° Angle of friction As < ftand (e- angle Letween vesultant & normal) Metion on a rough, Inclined Plane 1) Re mg cos t) Fe mgsine -f 3) at o(sine- hese) ae founda fi M od w ctomg 7 Pde Falvey Ra Ro x beefhe Y yn a4 mg ‘q Lt w (y+02+™3) Tension im siving (re AF Me4r™mMZ2)I- Th Ee —— 2° (eae) & (1) 47+ ™3) 13 M70 = m3F (1m ir m,+im3) vs Shae -GAa Spring Constant Length of S pring | Cor = NL + LHL kL kk, gle KkkLe kiby = Kibo keg = kt ket leo Te nf To Netmay A ta f ] y “Y Ying tee an it = dm = V yelative Febeust iG ¥ Twrust Foren fs Vayjable Mass System F= md¥ = vd dt oat Casey When two masses m, and me (m,r™) are Connected +o M a _ t oh 4) ae cs (rie rmat M) oat} VICOr fi ia 4 ja” )T< m+) ams mi ru : 3) “Tae (am +) r amen (mr mat) Core Mebion on Smooth inclined — ya Gye nyc wasing) 9 mye Me 2) T= wi™2 (t+stne)q e Ss (™i+m2) a bo Case & Motion of $00 bodlus placed on tus ‘ndined planes hoving different angle of incknation 4) Oo. =(msind — -mj8 me) 4 ™m™+M2 ) T= wy ima. [singj+Sin8,)g (mit) UNIT 3 WORK, ENERGY & POWER Work W: Fis = Fscase (e30, We -ve) (e=30", W=o) Aven bender Ls |__ yx Ki xE ™~ ork wi ni five under graph. Tf fore 4s vansoble sresilcts Baws We [ Fon ax Aax F(x) a0 ; Vi-V work, done by conse rvaléve fre W.D.s VieVt Z2NERQY . « a Le Kkinetfe Energy ker Mv a Av= - Faddn mt Guat Potentios Energy _ at ; pe of sping = hs Reladion between Pe and - @ ‘Frew de> ~ fl 4 vi Nib | _ SPRINGS mG = Fp work done by Friction en curved surface ft We aly X Xe kevin displace wud- blw jvidhial and firel position Nun -fei- Equilibowen_ fF= - AU dU =O dx% - STABLE UNSTABLE NEVTRAL Minima, of UX Maxima of U-X% Stolle. Lint, wo Garve. cue. Curve d*U d?7U Zo dU 20 dut Out ax Nun - om Lo 
