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Nội dung text B.Sc. (Maths) IIIrd P-II (Mechanical) 1-308.pdf

ch-,l-lh- (xf.kr) vafre o"kZ ;kaf=kdh Hkkx & 2 (iz'ui=k & f}rh;) if.Mr lqUnjyky 'kekZ (eqDr) fo'ofo|ky; NÙkhlx<+] fcykliqj
ikB~;Øe vfHkdYi ,oa fodkl lfefr laj{kd dqyifr ia- lqUnjyky 'kekZ (eqDr) fo'ofo|ky; NÙkhlx<+] fcykliqj ikB~;Øe ys[ku MkW- (Jherh) fdj.k voLFkh foHkkxkè;{k] xf.kr foHkkx lh-,e-Mh- LukrdksÙkj egkfo|ky;] fcykliqj (N-x-) ikB~;Øe lEiknu MkW- eukst dqekj frokjh lgk;d izkè;kid] xf.kr ia- lqUnjyky 'kekZ (eqDr) fo'ofo|ky; NÙkhlx<+] fcykliqj izdk'kd dqylfpo] if.Mr lqUnjyky 'kekZ (eqDr) fo'ofo|ky; NÙkhlx<+] fcykliqj] 495009 o"kZ % 2019 eqnzd % ih- LDok;j lkWY;w'ku eFkqjk (m-iz-)
vuqØef.kdk n`<+ fi.M dk xfrd (Dynamics of Rigid Bodies) bZdkbZ & 1 vè;k; 1 % tM+Ro dk vk?kq.kZ ,oa xq.kuQy 7&50 vè;k; 2 % fMyEcVZ fl1⁄4kar 51&58 vè;k; 3 % fLFkj v{k ds vuqxfr% 59&86 bZdkbZ & 2 vè;k; 4 % ifjfer cyksa ds vk/khu f}foeh; xfr 87&126 vè;k; 5 % vkosxh cyksa ds vk/khu f}foeh; xfr 127&142 vè;k; 6 % laosx vkSj ÅtkZ laj{k.k 143&158 æo LFkSfrd (Hydro Statics) bZdkbZ & 3 vè;k; 7 % rjy ,oa rjy ncko 159&190 vè;k; 8 % lery lrg ij ncko ,oa ncko dsUæ 191&221 vè;k; 9 % oØ lrgksa ij ncko 222&237 bZdkbZ & 4 vè;k; 10 % rSjrs gq;s fi.Mksa dk larqyu 238&257 vè;k; 11 % rSjrs gq;s fi.Mksa dk LFkk;hRo 258&280 vè;k; 12 % ok;qe.Myh; ncko 281&306
fo"k; lwph n`<+ fi.M dk xfrd (DYNAMICS OF RIGID BODIES) bdkbZ & 1 [UNIT-I] 1- tM+Ro dk vk?kw.kZ vkSj xq.kuiQy [Moments and product of Inertia] tM+Ro dk vk?kw.kZ ,oe~ xq.kuiQy (1-1) ifjHkze.k f=T;k (1-1)] tM+Ro vk?kw.kZ ds ekud izdj.k (1-2) lekUrj v{kksa dk izes; (1-3)] lk/kkj.k ekè; (1-6) vk?kw.khZ nh?kZ o`Ùkt (1-7)] levk?kw.kZ fudk; (1-9)] eq[; v{k (1-12)] eq[; vk?kw.kZ (1-13) 2- fMyEcVZ fl1⁄4kar % ifjHkk"kk;sa (2-1)] fMyEcVZ fl1⁄4kar (2-2)] xfr ds O;kid lehdj.k (2-3)] tM+Ro ds dsUnz dh xfr (2-4)] tM+Ro dsUnz ds lkis{k xfr (2-5) 3- fLFkj v{k ds vuqxfr % fLFkj v{k ds vuqizHkkoh cyksa ds vk?kw.kZ (3-1)] fLFkj v{k ds vuqfn”k laosx vk?kw.kZ (3-4)] fi.M dh xfrt ÅtkZ (3-5)] fi.M yksyd (3-6)] iw.kZ nksyu dk le; (3-7)] lk/kkj.k le:i yksyd (3-8)] U;wure nksyu le; (3-10)] fLFkj v{k ds vuqxfr vkSj vkosxh cy (3-12)] vk?kkr dsUnz (3-13) bdkbZ&2 [UNIT-II] 4- ifjfer cyksa ds vk/khu f}foeh; xfr % xfr ds lehdj.k (4-1)] xfr ds leh- dks fudkyus dh fpj izfrfBr fof/ (4-2)] xfrt mtkZ (4-3)] laosx vk?kw.kZ (4-4)] {kSfrt lery ij xfr (4-10)] 5- vkosx cy ds vk/hu f}foeh; xfr % vkosx vkSj vkosxh cy (5-1)] vkosxh cyksa ds vk/khu n`<+ fi.M ds xfr ds lehdj.k (5-2)] fLFkj lery ij viw.kZ izR;kLFk xksys dk Vdjko (5-3)] vkosx }kjk fd;k x;k dk;Z (5-4) 6- laosx vkSj mtkZ laj{k.k % laosx laj{k.k (6-1)] laosx ds vk?kw.kZ dk dksf.k; laosx laj{k.k dk fu;e (6-2)] js[kh; laosx dk laj{k.k dk fl1⁄4kar (6-3)] dksf.k; laosx dk fu;e (6-4)] mtkZ laj{k.k dk fl1⁄4kar (6-5)] fol&ohok ds fl1⁄4kar (6-7)] la;ksth cy (6-8)] mtkZ laj{k.k dk izes; (6-9) bdkbZ & 3 [UNIT-III] 7- rjy ,oe~ rjy ncko % ifjHkk’kk;sa (7-1)] rjy ncko (7-2)] feJ.k dk vkisf{kd ?kuRo (7-6)] Hkkjh rjy dk ncko (7-8)] lrg ds uhps ls xgjkbZ ij ncko (v) lekaxh (c) fo’kekaxh (7-9)] izHkkoh lrg (7-11)] ncko esa nj ifjorZu (7-14)] ncko Kkr djus ds vody leh- (7-15)] larqyu dh “krZ (7-16)] izR;kLFk rjy (7-20)] leku

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