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 - 1 - GV : Đoàn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 1 :  H-C  I/ DAO ĐỘNG ĐIỀU HÒA 1. Dao động điều hòa  x = Acos(t + ).    2. Các đại lƣợng đặc trƣng của dao động điều hoà: x = Acos(t + ) thì: Các đại lƣợng đặc trƣng   A  max = A >0 m, cm, mm (t + )  (s)    rad   rad/s. T  T = 2  = N t s ( giây) f   1 f T  Hz ( Héc) hay 1/s L, T và f:  = T  2 = 2f; Biên     3. Mối liên hệ giữa li độ , vận tốc và gia tốc của vật dao động điều hoà: Đại lƣợng Biểu thức So sánh, liên hệ  x = Acos(t + ):  :  2 x = 0   x max = A             2     v = x' = - Asin(t + ) v= Acos(t +  + 2  ) - A), v = 0. - max = A. -  2    - Khi v v trí biên v v trí cân bng thì vn t ln, khi v v trí cân bng v biên thì vn t ln gim dn.  -  2 Acos(t + ) a= -  2 x.          -   a max =  2 A. -  - x pha 2   v). -Khi v   v trí cân bng n v trí biên, a c chiu vi v ( vt chuyng chm dn) -Khi v v n v trí cân bng, a cùng chiu vi v ( vt chuyng nhanh dn).  F = ma = - kx          :luôn   F max = kA - Chuyng nhanh dn : a.v>0, vF    ; - Cng chm dn a.v<0 , vF    ( F  là hp lc tác dng lên vt)  - 2 - GV : Đoàn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 2 4.Hệ thức độc lập đối với thời gian :  22 2 2 2 xv 1 AA   2 2 2 v xA     2 2 2 v Ax   22 v A x     22 v Ax     22 2 2 4 2 va 1 AA   Hay 22 2 24 va A    2 2 2 2 2 . a vA       2 4 2 2 2 a A v   II/ CON LẮC LÒ XO: 1.Mô tả:    2.Phƣơng trình dao động: x = Acos(t +  = m k ; 3. Chu kì, tần số của con lắc lò xo: T = 2 k m ; tần số : f = 1 2  m k . 4. Năng lƣợng của con lắc lò xo: : 2 2 2 2 2 đ 11 W sin ( ) Wsin ( ) 22 mv m A t t           + 2 2 2 2 2 2 11 W ( ) W s ( ) 22 t m x m A cos t co t            + : 2 2 2 đ 11 W W W 22 t kA m A        = 2 T . 5. Quan hệ giữa động năng và thế năng: Khi W đ = nW t 1 1 A x n n vA n                  x -A - 3 2 A - 2 2 A - 2 A 0 2 A 2 2 A 3 2 A A  /v/ 0 1 2 A  2 2 A  3 2 A   3 2 A  2 2 A  1 2 A  0  Wt 2 1 2 kA 2 13 . 24 kA 2 11 . 22 kA 2 11 . 24 kA 0 2 11 . 24 kA 2 11 . 22 kA 2 13 . 24 kA 2 2 kA   0 2 11 . 24 kA 2 11 . 22 kA 2 13 . 24 kA 22 1 2 mA  2 13 . 24 kA 2 11 . 22 kA 2 11 . 24 kA 0 So sánh: Wt và Wd Wtmax Wt=3Wd Wt=Wd Wd=3Wt Wdmax Wd=3Wt Wt=Wd Wt=3Wd Wtmax  - 3 - GV : Đoàn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 3 III/ CON LẮC ĐƠN: 1.Mô tả:  dà 2.Tần số góc: g l   ; +Chu kỳ: 2 2 l T g     ;  11 22 g f Tl        0 << 1 rad hay S 0 << l 3. Lực hồi phục 2 sin s F mg mg mg m s l            Lƣu ý:   4. Phƣơng trình dao động:(khi   10 0 ): s = S 0 cos(t +  0 cos(t + l, S 0  0 l  -S 0 sin(t + ) = -l 0 sin(t + )  - 2 S 0 cos(t + ) = - 2 l 0 cos(t + ) = - 2 s = - 2 l  S 0  5. Hệ thức độc lập: * a = - 2 s = - 2 l * 2 2 2 0 () v Ss   * 22 2 2 2 0 22 vv l gl         6. Năng lƣợng của con lắc đơn :  : W  = 2 1 mv 2 .  W t = mgl(1 - cos) = 2 1 mgl 2 (  10 0 ,  (rad)).  W = W t + W  = mgl(1 - cos 0 ) = 2 1 mgl 2 0 . +    10 0 ,  (rad)): 2 2 2 2 2 2 2 0 0 0 0 1 1 1 1 W 2 2 2 2         mg m S S mgl m l l + Tỉ lệ giữa W t và W đ  tìm li độ của vật (hoặc góc lệch so với phƣơng thẳng đứng), vận tốc tại vị trí đó, thời điểm vật có điều kiện nhƣ trên: W đ = n.W t  Do W = W t + W đ  W = n.W t + W t = (n +1)W t o 22 2 o 2 s 1n 1 s 2 sm )1n( 2 sm     hay o 1n 1      W 1n n WW n 1n WW n 1 W W W dddddt           2 21 mv n W n   2 ( 1) nW v nm      2 2 2 2 2 2 oo v s s v s s         trên vào  t 7. Tại cùng một nơi con lắc đơn chiều dài l 1 có chu kỳ T 1 , con lắc đơn chiều dài l 2 có chu kỳ T 2 , thì: l 1 + l 2  2 2 2 12 T T T  - 4 - GV : Đoàn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 4 l 1 - l 2 (l 1 >l 2  2 2 2 12 T T T 8. Khi con lắc đơn dao động với  0 bất kỳ.  W = mgl(1-cos 0 ).  0 2 ( os os )v gl c c    T =    0 ) Lƣu ý: -  0  -  0 << 1rad) thì: 2 2 2 2 00 1 W= ; ( ) 2 mgl v gl     (đã có ở trên) 22 0 3 (1 ) 2 C T mg     9. Con lắc đơn có chu kỳ đúng T ở độ cao h 1 , nhiệt độ t 1 . Khi đƣa tới độ cao h 2 , nhiệt độ t 2 thì ta có: 2 T h t TR         10. Con lắc đơn có chu kỳ đúng T ở độ sâu d 1 , nhiệt độ t 1 . Khi đƣa tới độ sâu d 2 , nhiệt độ t 2 thì ta có: 22 T d t TR          86400( ) T s T   11. Khi con lắc đơn chịu thêm tác dụng của lực phụ khác không đổi ngoài trọng lực :   F không    'P =  P +  F   'g =  g + m F   = 2 'g l .   F ma  Fa )  av ( v có   av  F qE q FE  FE )  F A = DVg ( F     Khi đó: 'P P F gọi là trọng lực hiệu dụng hay trong lực biểu kiến  P ) ' F gg m    '2 ' l T g   d/  * F  FP ):  tan F P    - 5 - GV : Đoàn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 5 22 ' ( ) F gg m  * F  ' F gg m   F  P  => ' F gg m  ;  F  P  => ' F gg m  * ( , )FP   => 22 ' ( ) 2( ) os FF g g gc mm     12. Ứng dụng:  2 2 4 T l  . 13.Con lắc lò xo; con lắc đơn và Trái Đất; con lắc vật lý và Trái Đất là những hệ dao động .         dây (l).      VTCB -Con  không dãn -   k mg l       F = - kx    s l g mF  s:          quay: M = -       2 x = 0  2 s = 0  2   m k   l g   I mgd      s = s 0   0   2 2 2 11 22 W kA m A   0 (1 cos )W mgl   2 0 s l g m 2 1  IV/ DAO ĐỘNG TẮT DẦN -DAO ĐỘNG CƢỠNG BỨC: 1.   Là      1  x = Acos(t +       Duy trì    Dao động duy trì có chu kì bằng chu kì riêng của hệ và biên độ không đổi  +.  d  - 6 - GV : Đồn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 6   c kx F ma   Dao động tắt dần khơng có chu kỳ xác định .   +     cưỡng bức ngoại lực ff     0    0 càng ít t      0   = f 0 Hay            0 0 Max 0 làm A A lực cản của môi trường ff TT A max  A max   A max   -   - 2 : -  g A mg kA    22 222  . -  A = k mg  4 = 2 4   g . -  N = mg A mg Ak A A    44 2   . -  v max = gA k gm m kA   2 222  . 3. Bng tng hp :         hồn  ( do ma sát)  hồn      0 () cb ff Chu kì T       hồn     Khơng có     0cb ff      trong ơtơ, xe máy     - 7 - GV : Đồn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 7 V/ TỔNG HỢP CÁC DAO ĐỘNG HỊA   1 1 1 2 2 2 cos( ) và cos( )x A t x A t          12 cos( )x x x A t      : : 22 1 2 1 2 1 2 2 cos( )A A A A A       1 2 1 2 A A A A A        :       1 1 2 2 1 1 2 2 sin sin tan cos cos AA AA  1 2 2 1 hoặc           Chú ý:                                   12 12 22 12 1 2 1 2 Hai dao động cùng pha 2 : Hai dao động ngược pha (2 1) : Hai dao động vuông pha (2 1) : 2 Hai dao động có độ lệch pha : k A A A k A A A k A A A const A A A A A  - x = Acos(t + ) : z = a + bi -z =A(sin +i cos) A= 22 ab ) hay Z = Ae j(t + ). - Trong các máy tính CASIO fx- 570ES, ESPlus : r    A  ). a.Tìm dao động tổng hợp xác định A và  bằng cách dùng máy tính thực hiện phép cộng:  21 AAA   => 1 1 2 2 A A A         b.Tìm dao động thành phần( xác định A 1 và  1; ( xác định A 2 và  2 ) ) bằng cách dùng máy tính thực hiện phép trừ:  12 A A A ; 21 A A A  2 2 1 1 A A A         ; 1 1 2 2 A A A         c.Chọn chế độ thực hiện phép tính về số phức của máy tính: CASIO fx – 570ES, 570ES Plus Chọn chế độ  -   tốn SHIFT MODE 1 Math.  MODE 2 CMPLX r (ta hiêu:A) SHIFT MODE  3 2 r  D) SHIFT MODE 3 D  góc là Rad (R) SHIFT MODE 4 R  SHIFT (-).  d.Lƣu ý :Khi thực hiện phép tính kết quả đƣợc hiển thị dạng đại số: a +bi (hoặc dạng cực: A   ). -g : a + bi A  SHIFT 2 3 = Ví dụ: 8 SHIFT (-) (:3 -: 4+ 4 3 i .Ta SHIFT 2 3 =  8 1 π 3 -A  a + bi SHIFT 2 4 = Ví dụ: 8 SHIFT (-) (:3 -8 1 π 3 , SHIFT 2 4 =  :4+4 3 i x 'x O A 1 A 2 A  SHIFT 2   3 = r   )  4 = a+bi ) p tính )  - 8 - GV : Đoàn Văn lượng Onthi.net.vn  - Email: doanvluong@gmail.com Trang 8 VÒNG TRÒN - GÓC QUAY VÀ  QUAY Các góc quay quay    A x A 2 A 2 2 A 3 2 A 3 A 2 O 2  A 2 2 A 3 2 A φ = + π/2 T/4 φ = +π/4 T/8 φ = + π/6 T/12 v = 0 φ = 0 φ = + π/3 T/6 φ = - π/6 φ = + 2π/3 T/3 φ = - π/2 φ = - π/3 φ = - π/4 φ = + 3π/4 3T/8 φ = +5π/6 5T/12 φ = - 5π/6 φ = - 3π/4 φ = - 2π/3 v=0 φ = ± π T/2 V<0 V>0 O 0 2 2 kA W  Wt= Wd= Wt=0 0 2 2 kA W  3 4 W 3 4 W 3 4 W 3 4 W 1 2 W 1 2 W 1 2 W 1 2 W 1 4 W 1 4 W 1 4 W 1 4 W 2 2 kA W   x: x A O A/2 2 3 A 2 A -A -A/2 2 A 2 3 A V  0 0 max 2 v max 3 2 v max 2 v max 3 2 v max 2 v max 2 v  x - 2 A O max 3 2 a  max 2 a   2 A max 2 a max 3 2 a max 2 a  max 2 a  thi gian: x T/4 T/8 T/4 A O A/2 2 3 A 2 A -A -A/2 2 A  3 2 A T/6 T/6 T/12 T/12 T/12 T/12 T/12 T/12 T/24 T/24 T/2 T/8 [...]... Phương trình dao động là: A x  0,3cos(5t + /2)cm B x  0,3cos(5t)cm C x  0,3cos(5t  /2)cm D x  0,15cos(5t)cm Câu 2 Một vật dao động điều hòa với   10 2 rad/s Chon gốc thời gian t 0 lúc vật có ly độ x  2 3 cm và đang về vị trí cân bằng với vận tốc 0,2 2 m/s theo chiều dương Lấy g 10m/s2 Phương trình dao động của v ật có dạng A x  4cos(10 2 t + /6)cm B x  4cos(10 2 t + 2/3)cm C x  4cos(10... M0OM = π/2) Chọn B 0,15s Onthi.net.vn GV : Đoàn Văn Lƣợng - Email: doanvluong@gmail.com A O M0 M Trang 31 Chuyên đề vật lý 12 GV : Đoàn Văn lượng - 32 - Dạng 5 –Xác định thời gian ngắn nhất vật đi qua ly độ x1 đến x2 1  Kiến thức cần nhớ : (Ta dùng mối liên hệ giữa DĐĐH và CĐTĐ đều để tính) Khi vật dao động điều hoà từ x1 đến x2 thì tương ứng với vật chuyển động tròn đều từ M đến N(chú ý x 1 và x2 . 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. 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. 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