1. All Physics Proves & Summary Of Rules Edited By Eng :Mustafa Kashif

2. S.H.M & WaveS 1-prove that, the Total energy of particle is moving in a simple harmonic motion is a Constant. The differential equation of anyparticle moving in S.H.M isY=A sin (wt+ ) y=A w cos(wt+ ) y=Aw 2sin(wt+ ) y=-w 2 y K.E=0.5 m y2=0.5 m w 2A 2cos 2 (wt+ ) 1 P.E== P.E==0.5 m w 2y 2 P.E= 0.5 m w 2A 2sin 2(wt+ ) ToTal Energy=E tot = K.E+P.E E=0.5 m w 2A 2 [cos 2 (wt+ )+sin 2 (wt+ )] = 0.5 m w 2A 2 Constant 3. S.H.M & Waves Block of mass m attached to a spring the block free to move on horizontal, frictionless surface .if the springconstant is K Prove that the Block Moves in S.H.M and Determined Angle speed .. Spring Force F= KX. The eqn of motionMX=-KXX=-K/M *XThe deffrential eq of S.H.M is X=-W 2 XThe Block Moves in S.H.Mwith angular speed WW 2 =K/M W=(K/M) 0.5T=2 /W =2 (K/M) 0.5 To Prove that the particle moves in S.H.M..Prove therealtion betweenthe angular speed and the distance Acceleration = -W 2 (Displacement) 4. S.H.M & WaveS Summary of chapter 1 rules:- 1-General eq of simple Harmonic motionX=A cos(wt+ ) Y=A Sin(wt+ ) W= /t =2 /T Total energy = K.E+P.E =0.5m W 2 A 2 V=y,a =Y=-W 2Y ------------------------------------------------------------------------ When Summing2 or more S.H.MneedS some Rules 5. S.H.M & WaveS When Summing(n)of S.H.M we use some of rules:- 6. S.H.M& WaveS To Prove that the wave is Traveling waveProve that Y is F(x+vt) or F(x-vt). -General Eqn of Harmonicwave : Y(x,t) = A Sin(wt-kx+ )W=2 F,,,, (K)wave num=2 / (Intensity) 7. S.H.M & WaveS Standing waves 1-Position of nodesamplitude=0 x=0.5 m 2- position of AntinodeS x=0.25 (2m+1) To Solve Standing waveS question:- 1-put the 2 eqn in the form of Y=Asin()2- sum the 2 eqn with Rule A[sin(a)+Sin(b)]=A[2cos0.5(a-b)Sin0.5(a+b)] 3-the term tha donthavet is the amlitude for standing waveand be the fn of X only 8. 4-let the amlitude=0 & amplitude =2A For Getting Antinodes and nodes placeS 5- draw the standing wave form6-Put Y axsisPerpendicular on X axsisand in sutable placedepen on the places of nodes and antinodes. 9. S.H.M& WaveS Doppler effect The movement in same direction: The movement in opposite direction 10. Reflection& Refraction Prove(1) Define the Critical angle cis andPolarizedangle pand drive the relation between themThe critical angle c is the incident angle over which thereis total internal reflection (no transmission to the second medium ) If n 1 >n 2 n =n 2 /n 1 i n2>n1 19. Reflection& Refraction Internal reflection t> i n1>n2 n