Answer to Question #208463 in Classical Mechanics for Rae

Question

Let us consider a swing as a harmonic oscillator! The velocity of the swing at the lowest position is 3 m/s. The acceleration at the highest point is 3 m/s2 . Write down the displacement-time function!

Answer 1

$v=A\omega=3,$

$a=A\omega^2=3,$ $\implies$

$\omega=1~\frac{rad}{s},$

$A=3~m,$ $\implies$

$x=A\sin \omega t,$

$x=3\sin t~(m).$