Physics Cheat Sheet (Projectile Motion & Energy) (2)

Physics Cheat Sheet (Projectile Motion & Energy)...

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Unformatted text preview: Physics Formulas Vector Product a*b=ab sin o Projectile Motion x − xo = ( vo cos θ )t y − yo = ( vo sin θ )t − 1 2 gt ^ 2 vy ^ 2 = ( vo sin θ )^ 2 − 2 g ( y − yo ) vy = ( vo sin θ ) − gt Work done by spring Work W = Fd cos θ W = Fdx xi z xf F = − kx W = − 1 2 kx ^ 2 U = mgy Power = W ∆t Energy U= 1 2 kx 2 n Systems of Particles xcm = 1 M ∑mx i i i =1 p = mv 2f Collisions Inelastic Collision = m1v = ( m1 + m2 )V v 1 f = m11− m2 v 1i v= m + m2 mm 2m v = m +m v + m +m v 1f 1− 1 2 2 1i 2 1 2 2i 2 m1 m1+ m 2 v 1i v2 f = 2 m1 m1+ m 2 v 1i + m 2 − m1 m1+ m 2 v 2i Angular Displacement and Velocity and Acceleration J = F ∆t s r θ= ω= ∆θ ∆t α = ∆ω ∆t ω 2 = ωo 2 + 2αθ 2 Kinematic Equations for Constant Angular Acceleration ω = ωo + αt θ = ωot + 1 αt 2 2 θ = (ω + ω )t 1 2 o θ = ωt − αt 1 2 Linear and Angular Variables s = θr K = 1 Iω 2 2 v = ωr I = mr at = αr ar = ω 2r Rotational Kinetic Energy and Rotational Inertia Parallel-Axis Theorem and Torque I = Icm + Mh 2 τ = rxF τ = rF sin θ Angular Momentum of a Particle l = rxp Rigid Body Angular Momentum L=Iw Oscillations frequency (f)=1 hertz=1Hz=1 oscillations per second Period (time for 1 oscillation) = Simple Harmonic Motion T= 1 f x = xm cos(ωt + φ ) ω = 2πf v = −ωxm sin(ωt + φ ) a = −ω 2 xm cos(ωt + φ ) Linear Oscillator ω= k m I T = 2π k m k Pendulums T = 2π k 2π T = 2π ω 2π L g T = 2π I mgh Sinusoidal Waves =κ = 1 λ =f= 1 T v = ω k = λ T = λf Traveling Waves y( x , t ) = h( kx ± ωt ) τ µ Wave Speed on Stretched String v= Power P= 1 2 µvω 2 y 2 m Standing Waves Resonance y ( x, t ) = [2 ym sin kx ] cos ωt f = v λ = v 2 l n, for n = 1,2,3,….. ...
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This note was uploaded on 02/14/2011 for the course PHYS 220 taught by Professor Chang during the Fall '09 term at Purdue.

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