大物作業(yè)答案2014全1-8詳解

1、第一定律：慣性參考系第二定律：力的瞬時(shí)效應(yīng)F m a力的轉(zhuǎn)動(dòng)效應(yīng)t2質(zhì)點(diǎn)力的時(shí)間累積效應(yīng)力的空間累積效應(yīng)Fdt p pt2bF d r E EMdt L L2121KbKatta11E m 2 / 2p mM r F, L r pKFj i 0,ri Fi jrj Fj i 0第三定律： Fi jt2A A(E E )非保t2dt L質(zhì)點(diǎn)系tMP PFdt外內(nèi)KP外總外21t11A 保Emi ri Jz zM外z內(nèi)P質(zhì)心：rc i E(C ) m 2E/ 2Md (J 2 / 2)mKKC外zzJ20J m d Jmd22E mghF外 m ac, P mc質(zhì)心系：P 0E重力,KPcziiC

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4、1)(6) 3 a m/2;# (1.5t2 dt 2| 9t 6t 21S y(1) y()2 2.25 m| dt2 y(1.1 5!& #O OY 2A0,C5I3n t 14/5674.t(SI)8(1) t=1s, t=2s 14/abab(2) % 1% 2 ?a=/A6BCIDC5EFGHHZx ut 1ln( bu bIKJK u7LyMNC/abIJKbW=aQRST_(1)BC/abEFabEF! (2)Uu .30 10 m ,.75 10s=n120j/hk7l f17mnoabWabp7/XYEqf17mno7.& #n xy g%_C5IC5EFZ2 , yt 2

5、(SI) I(1) #C5/( ayb+,!(2)t1=1s 1 t2=2s 1 #/cd#ababAB02 ( #C5D2)v 2dvat, adtna a a, a22R2dvgvt 2 ,g22a00t 200v 2dvddsdt22at2. t.8 m/s , an230.m/v t 2 (m/s)R1.dtRdt 3. & #Osu R=0.10m /LeC5IDC5 =2+4t3, , t ijvbx_ t=2s 1D ab! ab_2. vab v0 g1&wIrx6My.Izp|14kw/ ab! ab1. & #AsuZ R /naLeC5ItyaQ#absup7/u$A (

6、vBAvBj ) m / stv(t0)t dt3t (/)0v 2a WsuR45bY3t) / 3 2 1 a aRt.15 m , sv dts / R.05 rad0 5.& #N01yzIOsu R= 32A?naQLeC5I ab2at3m s_(1) #/ab,-WsuR45 bY/14!(2) n_.17+Qsu7h aQ7h _1#z#0sinz#)t0 at 6. #A31C5Ikab v0 W4g,/XYZ0 Irx6My._in y057I(1) q6/ #! ab7hID89o:4 # ab 8ho(2) q6 #/! ab7k? :4 #/ ab8ho(3) q 6

7、+Qsu7ho;tyb+Qsu/&HcI_Kx2NDGIy 2NHA_% 18% 36 i Iv1I2C%v1 (C(A,B%)A ij )v2B jL)1) 2(C%) 2(%)v1(C%C% 36, 18) 18 B j 36ivCA(i36 18 jv (C)(3618) km / h162040.25m) IDAMGIWGR/YbZ tan 0 7.U?%v v1= 18km/h /a SA1I#BC7DAC (ECNDAF GH)IX?%v v2=36km/h /am SG1I#BC7SAC (ECNAF H)_IJ%_#B/Ca v /hk 12 0.s22aAAvA (t 6.0

8、m / sPTrTI?VW/# P APOP_6/T012a0mP6 abAtv22an0 3msP6! abR 8. EFIsu R=0.1 m /LNIGvO&4g2PQ45_&RSTOnNU/VWIDPQq _n?.ASIpq N01YZ?aSInot=2.0s I67I89 Naga 0gsin2sin2 6. EFGHI4g+%_)& KZ M /Y-3I3%_)1& KZm/p_23QRI1|3P/ab!2|pqP3/ab_dv v BC%-(dtdv k dtv v e k/0vmvdt0 x m vv0e k/xdt00k 7. EFI KZ m /U:vab v0 ;_4y.

9、f kv I23U:4/?._(1) U:;wIabf17n?/EFI! (2)U:/7hAb_AB04 ( #5.D2)mvI = KFKLMY-/NVObImvW!14g 5KYZ(60300)260(v1)3001W!2v V=2m/s /k%Z+,$UwI%aZ V/2m vV ) 1 VMv = 6m/s22 2. K m=60kg /Pn KZ M=300kg #aQ V=2m/s/Q%_IR401IDy.rx_XOP%v4gab v O%/| STU9I%aVZWX/&sIv _1. KZ m#abhkZ V / #In4DE.AwIDab/hkFnIG mnHYI IE./JK

10、hk_155t dt= %9qF= - 25 NsxvabcZnoPpFdt = v (m+dm) v mIF vdm/dt = 350001.5104(N) 4. abcv 3m/s /aQNbdS%9:Ibl9:edvf 5103 kg/aQg0hciIUc;x?aQIm23DWp7/QRjkIlm./hk_3. KZ 5kg /pq44g /=.FAIn*T/4g%_Q01YZA0,C5I Ff17n?_EFGH_ 5s 15s 17Epq A#B#C / K&Z M I B#C rn&T)n*T/4g+%_I$j7s|&tObZ 0.4m /eTIB/&us|&eT4gOb0.4m|T

11、y:+V/T?hW A OsIEFGH_UVT?TU/ KrxITUP:*_i A#B 5wIv:8O17 C vYZC5oC YZC5/ab789o(K g =10 m/s2)Mgntt+dt7IzNU K dm m n dtU SZSIdm zNUp|/abgh0NUP dm /A. FdmFdtef0. nv 0mdm PN/AN mg 0.02nt%101/F 1000.0210 9.8 1002 9.8 4.9 215 .6N6%&,%-,ci!*5w?a(/7clm. = T5QR. &,&,ci89*50QR. 7. XBc(w%zH)8ci1Ikc(lm*5+$,cip7/z-

12、4.7ho./*501Oz-/!23oZ45o6. |&6)nN_I/F !ImwN=yN h= 4.9 m 6I|kUNvf n =100 (E) /abhKI#Uf&EU/ KZ m =0.02 kgI&N$&=bzSImz?ab v1 VWZOPJBKq1t1 = t2M v m m(Mm)V1)1?ab v1 VWZOP%1t1 t2Y5KYZ LA =LB;rA vA= rB vBrA vB EKA EKB 2. DEFOwG/LC5InJ# A H# B /Y5Kij LALB I50ij EKA EKB _ijTI LA LB# EKA EKB /hk_1. :B KZ M+2m

13、IN%= h PQSz &s=b6;YIv O$/aQ#O?IABiN_66 z%/17Z t1_&O$/:BSz: KraC;ImN&s=b 6z%/17Z t2_ t1 t2 /hku$_, 2 F dA F0 r dr drW!1F0 rdrdrr00 220r 0r R co, R)drsicodW!22/ co20 Rsinsinco 2/ 1 mR oW!1n.GLdA mr2dr,m 2dr2R0 12)(W!250Vk2 4. &EsuZ R /4gLNvZYabA?a45I& KZm / NLNVWMLNK!6ILNPNG/L_3. EFGHI # N56W#OLeC5( 0

14、 ,RII&: K. FF0 xiyjGG/L_221212mgdA kxdx,W!1n.GL 22Akxk2k22k1W!2L0WV A k(x22EE2kMmdrGMmhRn.GLdA GMGdr ,22rrR11GMm()W|m.GL = X0Y=R 2 GMhv R 6. &VN%= h 6Q01YZz %I236My.IVSz: KIW|m.G/L789oVz1ab8ho(UV KZ mI w KZ MIwsuZ R)5. Ob$FZ k /:P ( K23rx) b0)dISd7& KZmkwI YZ1:PZWOhkw,-WQzI-|:P_dRS%I0k wT0U%Z1I: =.G

15、L_mg2aLdALa xL a xgdx,Agdx2L0/ L Ilj hc L / 2/ 2)K+%Z?.X0!#_kjcmg1L2aa mv mg mg )22LaWV L02L22L12 2gL) av(L 7. Z#OZ LI KZ mI)n+%_rV6I!D&dS/ObZ a IUZ#W+%p7/T5QR$FZIZ#Q01YZ C5_(1)Z#Y+V/: KIQR.PZ#GH89Lo(2) Z#Y+V/aQ789oAB06( #5.D4)1. EFGHI$Ekwr0O/eTsIy:*T/suZ R L_Ikw B 1Ikw A / KZB /$Im,WL_2!&/=_Q01.ja)

16、AIB w_b/7h=b_12A 2A gB gmmv(T/$Ef.GLqFZ0)v212gR13H Rkw A 1wkw B b0_12231212kd22m vv d2m 2. EFGHI4g)d/S:PIOb$FZ kI &dcI&d$& KZ m /T AIA de|& KO$/T B_U$TW+%7 PQRIk=.| A#B &fg!:PghZ d h01Imwij=.IW Ai1B/ab_CSvB/k=:;Y= 3. vSlmuZ7n0YZ#$5KYZ#$/)!I;oypq7r/Irn+s_A. r4=.A/$,ID5K7n0tm$1YZ_B. G4s=.Z!I.&7;Y./$,I

17、D7n0tmYZC. r4=.Ih.&7;Y./$,ID5K7n0tm$1YZD. =.P&E$,G/LZ!Iu_$,/7n05Ktm$1YZGMm GMm 2GMmP E(m)E ()PPP3RR3RGMmE (m)P3R 4. UVwsuZ R I KZMIw|& KZm/pqIn%=bZ 2R 6_vwpqZ$,IkK%ZX0!#Iu$,/m.X0 Z2GMm!kKPxH6ZX0!#Iu$,/m.X0Z3R(W|m.JFZ G) GMm /(3R) 1mg 0.1 m:P/7OK x1k200 x2 L x1 0.1 mpqY%w_b/=bZG|RP.GLZ!12x A E Emgx21

18、kx3 JPK2n.GLW0 x1 ( x) k x1x LFxm gL ( x)dx0 5. EFGHI=. F9:rGO/TU&Ob$Fk = 200 N/m /S:PRSf%_pqIpq/ K M= 2kgI23T? KyQRIYZf1:PZPQObIuzSfTUIfS 20 cm : K FGG/L(K?.ab g= 10 m/s2)TUPw/f. T1 Pc/f. T2 GLpd T drmTrMrmM121&P./LIGr7&P9:&PN!0ZN%/45)K&Z JA #JBI;TI JA JB /hk_W (1) (2)SvI(3) (4) r( F ) F ) kMMr1kMr

19、112(1)(2) K(3)/ F2 M1=M2=0!1 /r /Iu M1=M2=0 )F kM(r1rF Fr1, k r)%1M*012,(4) K r /IuM =M =0IG/G1221 3. |$E.An&E|c42/Tq_(1) I$E.&gZ2A1I3P2/s.&7!_(2) I$E.&0Z2A1I3P2/s.&G07!_(3) I$E.s.Z!1I3P2/s.&7!_ (4) I$E.P2/s.&Z!1I3/s.&7!_ i n_.)!KI+q7r(/Irn+so 2 / 2 22.5 rad215ra/,atva a 56.223.75/ sd6/nt2 ,221t1020

20、222 71t1 ,t /(202 t 0 1 2s3033212 5. &=?A?Va45In 5s YabQ 50-rad/s V 10rad/s 1|=?nI 5s )4/.F!2|=?/v:8917&145_4. +,?Q01YZ?a45IYabhkZ 50 rad/s2I1|X t LZ3.0 s1I?/Yab#Yc/!2|XtLZ5s1IW?!O d=0.25 m /h|/: KIW89=R/$,/ _1. &STOn|4g2/T?_ITSdz&pqIpqG4?.ZP I T?/YabZ2_k|pq93hWOL/.0Q SfTUI uT?/YabZ _x4TI /hk_mmJ#4#89P42/45)Kr2 Y5KYZr121C7n02M22JJ(r1 )$1IvYab 0 nPQR/4g%_Ov r Zsu/Le C5_E!nT/&dA&g0 S/f.I!kwC5suZ r/2 I1|kw/Yab!2|f.GG/L_rkw4/.&Z!IY5KYZ mr 232 4 m() 200Fk02 02tdKKJ1 22-J2Jdt ddtJ00t K2K3)- 0 9J001L2 m27n0YZ gJ23gL v3 gA