Classical Harmonic Oscillator

#Physics

$\displaystyle x(t)=\frac{v_{0}}{\omega}\sin(\omega t)$

• $\displaystyle v_{0}$ is the initial velocity of the particle
• $\displaystyle \omega=\sqrt{ \frac{k}{m} }$, where $\displaystyle k$ is the spring constant and $\displaystyle m$ is the mass

$\displaystyle E=\frac{1}{2}mv_{0}^{2}=\frac{1}{2}kA^{2}$

• $\displaystyle A$ is the amplitude of the oscillation