Suppose that an object attached to a coiled spring is pulled down a distance of 9 inches from its eqilibrium position and then released. If the time for one oscillation is 5 seconds, write an equation that describes its motion. Assume that no other forces are acting upon the object or spring and that the motion will be simple harmonic. Be sure to substitute the correct value for w.

Question

irishboy123 · Answer

$T = \dfrac{2 \pi}{\omega} = 5 \; s, \quad  \omega = \dfrac{2 \pi}{5}$

$y = A \cos  \omega t  $

$t = 0 , \quad y = A = 9"$


so $y(t) = 9"\cos \dfrac {2 \pi}{5} t$