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(Solved): The graph below shows the motion of an unforced undamped harmonic oscillator: In polar form, we desc ...
The graph below shows the motion of an unforced undamped harmonic oscillator: In polar form, we describe the motion by the formula
x(t)=Rcos(\omega t-\phi ). Determine the values of
R,
\omega , and
\phi . Choose
-\pi <\phi <\pi . Write
x(t)as a sum of a sine and a cosine:
x(t)=
q,
q,
t
q,
sin(1,t)Now write the initial value problem that
x(t)satisfies in the form (
:x^('')+1