# Harmonic Oscillator- Is this correct?

1. Jan 24, 2017

### kubaanglin

1. The problem statement, all variables and given/known data

What is the shortest time required for a harmonic oscillator to move from $x = A$ to $x = \frac{A}{2}$? Express your answer in terms of the period $T$.

2. Relevant equations

$x(t)=Acos(\omega t)=Acos(2\pi\frac{t}{T})$

3. The attempt at a solution

$A=Acos(0)$ which means $\frac{t}{T}=$ whole number
$\frac{A}{2}=Acos(\frac{\pi}{3})$ which means $\frac{t}{T}=\frac{1}{6}$
$t=\frac{T}{6}$

2. Jan 24, 2017