BÀI TẬP DẠNG 1 1.1/đúng !"#$%&'()*+,-./0 /#%1234564-78/9%1234 /#%1234:;64-78/9%1234: 1.2/đúng !"91$%&'()*+,-./0 /#%1234564-78/9%1234 /#%1234:;64-78/9%1234: 1.3/ đúng<=34.-=)>?@A(1BC% -.)>?@ 1 DE % 4FG-.?H -=/. IE(A J15IA JKIA J1;IE(A JK 1.4/ đúng<=34.(F/.1$%&-=-=)-#C(1D% L64-78:?@-=) -=/. A1(BC% 5&(AK% 1B(A1% ; M1B% 1.5/đúngN/O/P2QR-S?HK(4FGE(B L)/,64TUKEEVW 1 AE(π ≈ 1 AE % = X7>/>.YZ-.64TU/. C(BC[51(BC[1BC[;CBC[ 1.6/ đúngN-=34.-S?HK(\ )1E]^)*/./0-=/ 1 & -.4W ,34-S34+-=/. K !KE$9$%&'!'5K !KE$91$%&'!' K !KE$9$%C'!';K !KE$9B$%C'!' 1.7/ đúng<=34.>_AEB (F64-78:?@-=)C1(D% )* /0-=/ 1(B & -.4W-3-78:?@-=/.` 1 B !K '!' & π = π + 5 1E ! '!' & π = π + B !K '!' C π = π + ; 1 1E !1 '!' & π = π + 1.8/ đúng<=34.H64a.1(F/. ! % C'π -=-=)-C(1D% )* /0-=/>:-=/.` 1 !K '!' 1 π = π + 5 !K '!'= π + π 1 ! '!' 1 π = π − ; !K '!' 1 π = π − 1.9/ đúngN-=34.-S4FGIA V01(B (-=64-78/ B 1!'= − -S-=) - AE 1! % '= − π -=/.` AE !1 '!' K π = π + 5 & AE !1 '!' K π = π + B 1 !1 '!' K π = π + ; & B 1 ! '!' K π = π − 1.11/đúngI34PF/?@b?Hc\d?@! ñ E / E ' E5A%&A%1;&%K 1.13/ đúngN-=34.(?e@F-=/ A C= -=)/. A - DE % = JF-=/ 1 B &!'= -=)/. 1 - BE!% '= I\ )-.?H-=/.` "AE% JAE5"AE% JB AE ! % 'J C!'ω = π ;"AE$% JB BÀI TẬP DẠNG 2 2.1/đúngN/O/P2QR-S?HK(4FGE(B L)/,64TUKEEVW 1 AE(π ≈ 1 AE % = X7>/>.YZ-.64TU/. C(BC[51(BC[1BC[;CBC[ 2.2/đúng/O/P34.2-S?HVW-.-=)-=Fd-= ?@ed/P/. 1 1 = ± J - 1 ω = ± 5 1 1 = ± J - 1 ω = ± 1 = ± J - 1 ω = ± ; 1 = ± J - 1 ω = ± 2.3/đúng/O/P34.2-S?HVW-.-=)-=Fd-= ?@&/\ed/P/. 1 = ± J & - 1 ω = ± 5 1 = ± J - 1 ω = ± & 1 = ± J & - 1 ω = ± ; & 1 = ± - 1 ω = ± 2.4/đúngN/O/PU@Y-=UF)/,AF-./PF)/,FfFR AEE[%(34.I6434./P?eHg1Ee&1d-=/. A(Bh5E(&Ch&h;E(ADh 2.5/ đúngN/PF)/,iFfF(34.>H E l (RF2QRI2-= A AEE= -./P34./.&AJ2H-= 1 AEE= 34./.&1 1 AE % = jR/P/. AEE[%5AEEE[%AE[%; B AE [ % 2.6/N/O/P34.2QRVPF)/,FfF-.RFKE[%(-=U F)/,1EEIFk-=g-78:?@S4)SBY?4fl-=VW 1 AE % = X7>-.>4/>.Y/. I 1[JI A(1[= = 5 I K[JI 1[= = I 1[JI E[= = ; I K[JI E[= = 2.7/ đúng/O/P!FKE[%'34.2QR-S\ )/.AE% )m n-78:?@(34S/H-.F-E/PFf?eVW 2 g 10m / s= V>.YZ-.-=F-= -=)-DE% -.//.` 1(K[51[A(C[;A(D[ 2.8/ đúngN-=2-./P/.+K 1 AE % = ( 1 AEπ ≈ 5e/>.Y>(>4/\/,/. AE[-.C[34.>H/P1E34.>-.>4/P64/. Ao-.1A51K-.1& 1C-.1K;1B-.1& 2.9/ đúngN/O/P!FJE(&F'VW 1 1 AE % π = Ig-78:?@mFk64TUFi-78:?@ &(FT4W364TU-=) - AC % = π S-3-78:?@<=-S?HBjRF?@` &E[%51M[%KE[%;KD[% 2.10/ đúng/O/P2QR34.(n-78:?@/P+&L/P34.>4/P ?7k15H/O/. A51&;B 2.12/ đúng/O/P34.2`V>.Y>Z-.-=?@1[-.)> -=/. 1 1 % L)/,-=U?@` E(BF5A(EFA(BF;1(EF 2.13/ đúng 1 AE % = p-78:?@/P2QR+AE(*-=Ug/0/P34. >e/0-=64-78:?@/\R/. E(A ! 'π 5 E(AB ! 'π E(1 ! 'π ; E(& ! 'π 2.14/ đúng/O/PRFAEE[%2QR34.(n-78:?@/P+Kj+ >/PF/.oV>.YZ-.-=F/P34.O?@ E5A[1[;K[ 2.15/ đúng/O/P2QR(/PF)/,FfF]P?n-78:?@,Fk4) S2QR&YT]P?>_BE1E 1 1 AE % = π = Ic ) /S/>.Y>-./>.Y>4/PF/.` M5BK;& 2.16/ đúng/O/PQR)m/.-78:?@-=Uj-=-3-78./PFf ?7?eYTFf-=)\4(-=34.-S\ ) AE! % 'ω = VW 1 AE % = 34S 4)()*/./0T-=-=/.` AE !AE '!' 1 π = + 5 AE !AE '!' 1 π = − AE !AE'!'= ;j3e4q/_4 2.17/ đúngN/O/P34.2QR-S\ )K(B]^I6434. /P?ergKEeBC34S/H(/0E/P34.B1-.-=-78:?@ -=/.` AC !o '!' C π = π + 5 D !o '!' & π = π − D !o '!' & π = π + ; D !o '!' C π = π − 2.18/ đúngN/O/P2QRp-78:?@/P+o/O(dn/ &/.E(E&1h5e&CE 1 AE % = -. 1 AE π ≈ 5H/O/.` K5&B;o 2.19/ đúngN/O/P34.2<=)>-=/.oC% 5eF K 1= ed?@d4FG/O/.` E(1 5E(&1 E(KB ;E(B1 2.20/ đúng/O/PF)/,AEE(/P34.>H1EL2QR(-=:?@/P 34.11(BL88/O2QRVW 1 AE % = Ied-=F/P34.1K(B /.` E(EKh5E(E1hE(EEDh;E(Dh 2.21/đúngN/O/P2QR`-=UF)/,AFLk-=4)S /P+ C(Y?4fl(-=34.-Sd/,/.E(EBhVW 1 AE % = 5H-=/.` 15KC;B 2.22/ đúngN/O/PF)/,E(1F2QR34.34.>H/P/. E l &EVW 1 AE! % '= L/P34.l1D-=)?@E-./0/>.Y/Ss1[[d/, -=/.` A(Bh5E(EDhE(E1h;E(Ah BÀI TẬP DẠNG 3 3.1/ N/OY-=iF)/,1-. ,:W2T(34. l ,F8834 .I* t∆ /O>_KELd34./OHM(ot* t∆ H/O34 .l’>_,&oVW 2 g 9,8m / s= 34.?\4l/O/. AKK(15AB1(AACE(E;ACM(o 3.3/ đúng[*YY64T/OgIj/HNUId.Ff34c/?e)>H NUId?@A%CHIj64T/OYY/O34.Ffr4F64T/OdW TW/\u T 6 /\5d 6 /\dC/\;TC/\ 3.4/ đúng[*YY64T/OgU/HBF5e?F8vCKEEFNw.WH YYW=` CB(M 5CM(B MC(B ;BM(C 3.5/đúng[*/OgU/HAEF5e?F8CKEEFj4F /OFfWrTT34.e.u 3%∆ =l l 5 0,3%∆ =l l 0,03%∆ =l l ; 0,64%∆ =l l 3.6/đúng34./OdAx4F dAx5dE(BxTE(Bx;dE(Ax 3.7/ đúngN/O.l2)7)*Lk/OFiQR 0 α YTlI*:W2,-SQR α -=)/. 0 v 2g (cos cos )= α − αl 5 0 v 2g (cos cos )= α − αl 0 v 2g (cos cos )= α − αl ; 0 v 2g (cos cos )= α − αl 3.8/ đúngN/O.l2)7)*Lk/OFiQR 0 α YTlF)/,/OI*:W2,-SQR α />d:W/. 0 T mg(3cos 2cos )= α − α 5 0 T mg(2cos 3cos )= α − α 0 T mg(3cos 2cos )= α − α ; 0 T mg(3cos 2cos )= α − α 3.9/ đúngN/O. l 1E2)7Lk/OFiQR?@E(A -38?HT(Y4W3/O-=)?@AK% 2-4f-S:W-38-78:?@/O 34.(34Sg-78:?@ T()*/./0/O64-78:?@/\R 2 g 9,8 m / s= )-S/./O/. s 2 sin(7t )cm= − π 5 s 2 2 sin(5t )cm= − π s 2 2 sin(7t )cm= − π ; s 2 2 sin 7t(cm)= U3.10/ đúngN/On)* 2 g 10 m / s= (10KE:W>_,AEE VW 2 10π ≈ Ig-78:?@Fk4&YyWl-S-=) 5 π % 2-4f:W2) */./064-78:?@234/O/. 4 s 5 sin( t ) (cm) 5 π = −π 5 5 s 5 sin t (cm) 4 π = 5 s 4sin( t ) (cm) 4 π = − π ; 5 s 5 sin( t ) (cm) 4 π = − π 3.12/đúngN/O34. l -.F)/,64TU/.5e@64TU_86-./O,2 qZQ[e4*_*Z/.z(4F/O/. 1 l g π 5 1 1 1 l qE g m π + ÷ 1 l qE g m π + ; 1 l qE g m π − 3.13/đúngNffFn.H*@-=)- 4FW\34,64+*{I\ff 2/O.l4Fi/O/. 1 l g π 5 1 1 1 1 - 9 1{ π ÷ l 1 1 1 - 9 1{ π ÷ l ; 1 1 1 1 - 9 { π ÷ l 3.14/ đúng/O34.l ,2-.\W4W-S)|E4F T 2 g a = π − l 4WW/. j/H\345j/H=\34j4)Q34;j4)=\34 3.15/đúngN/O34. l -.F)/,64TU/.5e@64TU_86|E-./O, 34._*34 E ur * RQR(34S/H4F/OH/. 1 1 1 π + ÷ l qE g m 5 1 1 1 π − ÷ l qE g m 1 π + l qE g m ; 1 π − l qE g m BÀI TẬP DẠNG 4 Bài 1:]34P/\/,/.` A A ! 1E & t π π + '-. 1 1 ! 1E C t π π + '?4. 4:W/.0` `;A1 C π 5`;A1 & π − `;1A & π D`;1A C π Bài 3`Ir, A ! & t π ω + '-. 1 ! & t π ω − ',?4R` A` t ω J5` 1 A t ω J`1 t ω J;`E Bài 4:}7r,.\~ 4:W` A ! 1 C t π π + '-. 1 & 1 c π ` `1(K ! 1 E(&Mt π − 'J5`1(K 1 t π J` ! 1 E(&Mt π − 'J;` 1 t π Bài 5`N-=Y*34.~(/\/,/. A & !AE#π%&'!'J 1 K !AE9 π%C'!'!?@:W' }7-=)>-= BE% 5BE% B% ;B% Bài 6`Nf • -: • • H • f€ € Kf • H€4 € 4 € - € 4 € :€ f• • • ‚ € ` A & !π9π'J 1 & π!'J & 1 !π9π'J K 1 π!'] ƒ W • • f • f „ • 4 „ -: • ` '1% !B ππ += tx J5 '1% !1B ππ += tx J '1% !B ππ += tx J; 'K% !B ππ −= tx Bai 7`]34.~-.~\ )…BE]^(?H/\/,/.1-.(?\4/\/,/.π%&-.π r,/.. 4:W` & AEE 1 x a t π π = + ÷ J5 & AEE 1 x a t π π = + ÷ J & AEE & x a t π π = − ÷ J; & AEE & x a t π π = − ÷ Bài 8`N-=>_Y*34P~2 4` A K ! t π α + '-. 1 K & ! 't π 5Hr,/S ` π J5` π %1J`# π %1J;`E Bài 9`N-=>_Y*34P~2` A #K ! π ' -. 1 K & ! π 'r,/.` A D ! π 9 C π '5 A D ! π # C π ' A D ! π # C π '; A D ! π 9 C π ' Bài 10`Nf • -: • • H • f€ € Kf • H€4 € 4 € - € 4 € :€ f• • • ‚ € ` A & !π9π'J 1 & π!'J & 1 !π9π'J K 1 π!'] ƒ W • • f • f „ • 4 „ -: • A '1% !B ππ += tx J5 '1% !1B ππ += tx J '1% !B ππ += tx J; 'K% !B ππ −= tx Bài 11`34.~(~\ )(~?H 1 -.?\4/\/,/. 1 & π -. C π ? \4-.?Hr,H/.` B A1 π J15 & π J 1 1 J1 1 K π ; 1 π J1 Bài 12N-=Y*-.34.` '!AE &K A π= -. '!AE K A π= <=)-=F 1 /.?H4u A1B% 5A1E(B% #A1B% ;A1B(M% Bài 13:N-=34.~~\ )` A B !ω# & π 'J 1 B !ω9 & B π ';r,` B 1 !ω9 & π 'BAE !ω# & π 'B 1 ω; 1 &B !ω9 & π ' Bài14:]34.~/. A K ! AE π # & π '-. 1 K !AE π 9 C π ' r,/.` A.K 1 ! AE π # A1 π 'J5D ! AE π # A1 π 'JD ! AE π # C π 'J;K 1 !! AE π # C π ' . X7>-.>4/>.Y/. I 1[JI A(1[= = 5 I K[JI 1[= = I 1[JI E[= = ; I K[JI E[= = 2.7/ đúng/O/P!FKE[%'34.2QR-S. ÷ l qE g m 1 π + l qE g m ; 1 π − l qE g m B I TẬP DẠNG 4 B i 1:]34P//,/.` A A !