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Consider a simple harmonic oscillator function thatcorresponds to some disturban

ID: 1753686 • Letter: C

Question

Consider a simple harmonic oscillator function thatcorresponds to some disturbance: y(t)= 10 cos[20 t] (a) what is the amplitude of our disturbance y (in arbitraryunits)? (b) what is the value of the disturbance y at t=0? (c) what is the period of our disturbance? also if you could show me what the graph looks like that wouldbe great! Thanks Consider a simple harmonic oscillator function thatcorresponds to some disturbance: y(t)= 10 cos[20 t] (a) what is the amplitude of our disturbance y (in arbitraryunits)? (b) what is the value of the disturbance y at t=0? (c) what is the period of our disturbance? also if you could show me what the graph looks like that wouldbe great! Thanks

Explanation / Answer

y(t)= 10 cos[20 t] a) the max value of y is easily seen to be 10 just by the equationfor y(t) b). plug 0 in for t and you get 10cos(o)=10 c) T=2/w    w=20 so the period is .10