The motion of a mass on a spring, with spring constant K is as shown in figure. The equation of motion is given by $x(t)=A \sin \omega t+B \cos \omega t$ with $\omega=\sqrt{\frac{K}{m}}$
Suppose that at time $t=0$, the position of mass is $x(0)$ and velocity $v(0)$, then its displacement can also be represented as $x(t)=C \cos (\omega t-\phi)$, where $C$ and $\phi$ are :
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The equation of motion is given by $x(t)=A \sin \omega t+B \cos \omega t$ with $\omega=\sqrt{\frac{K}{m}}$ 
