87.2 Simple harmonic oscillation 1. Differential equation of a simple harmonic oscillation and its solution F=lxi =ma -kri=m-i dt d'x +kx=0 cco0000mi/ General Solution: x=0 x x(t=acos at+bsin at A=(a +b or x(=Acos(at+o) tang= 87.2 Simple harmonic oscillation 2. The quantities describing the oscillation Displacemnt at time t Phase x()=Acos(ot+φ) Amplitude Time m Angular frequency constant angle2 §7.2 Simple harmonic oscillation 1. Differential equation of a simple harmonic oscillation and its solution x 0 d d 2 2 + x = m k t x i t x kxi m ˆ d d ˆ 2 2 Fx kxi max − = r r = − =ˆ General Solution: or ( ) cos( ) ( ) cos sin ω φ ω ω = + = + x t A t x t a t b t a b A a b = − = + tanφ ( ) 2 2 1 2 §7.2 Simple harmonic oscillation A m x 2. The quantities describing the oscillation