1. Linear Motion
   1. v=u+at
   2. S= ut+0.5at^2
   3. V^2= u^2 +2as
2. Projectiles
   1. Sy= uyt - 0.5gt^2
   2. Sx= uxt
3. Force
   1. F=ma
   2. F=-kx
      1. E= 0.5kx^2
4. Momentum
   1. P=mv
   2. J = F△t = △p = m△v
   3. Po = Pt
   4. Fs = 0.5mv^2
5. Energy
   1. W=Fs cosθ =1/2mv^2- 1/2mu^2 = mgh
   2. mgh1 + 1/2mu^2 = mgh2 +1/2mv^2
   3. P = W/t ; Pav = FVav
6. Circular motion
   1. 1 revolution = 360° = 2πrad
   2. w= θ/t =2π/T =2πf
   3. v=wr = rw^2 =v^2/r
   4. Fc=ma=mvw=mrw^2=mv^2/r
   5. universal gravitation
      1. F=Gm1m2/r^2 G=6.67*10^(-11) Nm^2kg^(-2)
      2. g= GM/ R^2
      3. F= mr(2π/T）^2
      4. * R
7. Electric Fields
   1. F = K q1q2/r^2 k=9.0*10^9 Nm^2c^(-2)
   2. E= F/q =k Q/r^2
   3. W=qv=qEd
   4. E =V/d
8. Direct Current
   1. I=Q/t
   2. R=V/I = ρl/A
   3. P =UI
   4. Series
      1. I=I1=I2=···
      2. V=V1+V2+V3···
      3. R=R1+R2+R3···
   5. Parallel
      1. V=V1=V2=···
      2. I=I1+I2+I3+···
      3. 1/R=1/R1+1/R2+···
   6. V=ε-Ir
9. Rigid body Statics
   1. τ=d*F=rsinθ*F unit：Nm
   2. Reaction
      1. εhorizontal=0
      2. εvertical=0
   3. Force
      1. Compression
      2. Tension
      3. Shear
10. Rigid body dynamics
    1. I=mr^2 unit: kgm^2
    2. I=mk^2 gyration
    3. Kinematics
       1. Wf=Wo + αt
       2. Wf^2=Wo^2+2αθ
       3. θ=Wot+0.5αt^2
    4. Work
       1. W=τθ
       2. P =τω
       3. L=Iω
    5. exam
       1. τ=rF=Iα=Ia/r
       2. Ke=0.5mv^2 +0.5Iω^2=mgh=Fs
       3. I1W1=I2W2
11. Optical Systems
    1. Reflection
       1. i=r
    2. Refraction
       1. Formula
          1. air/vacuum v=3*10^8 m/s
          2. sini/sinr=v1/v2=n2/n1=n (>=1)
          3. n1sinθ1=n2sinθ2
       2. Deviation
       3. Dispersion
          1. red bend less and violet most of all
          2. Dispersion of a spectrum=deviation for violet-deviation for red
    3. 1/f= 1/p +1/i
       1. Mirrors
          1. f=R/2 curvature
             1. concave
             2. +f (postive focus)
             3. +/- i image
             4. convex
             5. -f (negative focus)
             6. - i only virtual image
          2. Nature of an image
             1. real/virtual
             2. magnified/diminished
             3. upright/inverted
          3. M=hi/ho=i/p overall=M1*M2*M3•••
       2. Lens
          1. convex (converging)
             1. +f (postive focus)
             2. +/- i image
          2. concave (diverging)
             1. -f (negative focus)
             2. -i only virtual image
       3. Optical systems
          1. L=fo+fe (only for telescope)
          2. most distinct view
             1. ie=-250mm M=fo/Pe
          3. most relaxed view
             1. Pe=fe M=fo/fe infinity
          4. Keplerian Terrestrial telescope : 4f longer
          5. Galilean Telescope : fo-fe long
12. Wave Motion
    1. SHM
       1. x=x0cos(ωt)
       2. v=-xoωsin(ωt)
       3. α=-ω^2x
       4. T=2π√l/g=2π√m/k ω=√k/m
    2. v=fλ = λ/T
    3. Standing wave partterns in strings
       1. Standing wave patterns in strings
          1. Fundamental
             2. 2l
             3. fo
             4. First harmonic
          2. First overtone
             1. l
             2. 2fo
             3. Second harmonic
          3. Second overtone
             1. 2l/3
             2. 3fo
             3. Third harmonic
          4. Third overtone
             1. l/2
             2. 4fo
             3. Fourth hormonic
13. Sound
    1. Intersity unit:ω/m^2
    2. I1R1^2=I2R2^2
    3. Step between two sound-levels(db)=10logI1/I2
       1. Vibrational modes in open pipes
          1. Fundamental
             2. 2l
             3. fo
             4. First harmonic
          2. First overtone
             1. Topic
             2. 2fo
             3. l
             4. second harmonic
          3. second overtone
             1. Third harmonic
             2. 3fo
             3. 2l/3
          4. Third overtone
             1. Fourth harmonic
             2. 4fo
             3. l/2
    4. Absolute =10logI/1*10^(-12)
       1. Vibrational modes in stopped pipes
          1. Fundamental
             2. 4l
             3. fo
             4. First harmonic
          2. First overtone
             1. 4l/3
             2. 3fo
             3. Third harmonic
          3. Second overtone
             1. 4l/5
             2. 5fo
             3. Fifth harmonic
          4. Third overtone
             1. 4l/7
             2. 7fo
             3. Seventh harmonic
14. Interference
    1. constructive interference/bright fringe/maxima
       1. dsinθ =mλ
    2. destructive interference/dark fringe/minima
       1. dsinθ=(m-1/2)λ
    3. x/D=mλ/d
15. Magnetism
    1. declination
    2. inclination/dip
    3. B=μo/2π•I/r=2*10^(-7)•I/r unit:T
    4. F=LIBSinθ
    5. F/l=μo/2π•I1I2/d
       1. parallel currents attract
       2. Anti-parallel currents repel
    6. F=qvB=mv^2/r=Eq
       1. r=mv/qB
       2. v=F/B
16. Electromagnetic
    1. Φb=BA (wb=1Tm^2)
    2. ε=-NΦ/t =lvB
    3. Transformers
       1. εs/εp=Ns/Np
       2. VsIs=VpIp
17. Nuclear Energy