Question

How do I solve?

A 0.850 kg mass is placed on a spring, pulled and released. t oscillates 40 times in 66.4 s What is the spring constant k? (UnitN/m) htoos-09 Corporation All Rights Reerved

Answer 1

Frequency of the system,
$f = \frac{40}{66.4}$

$f = 0.602 Hz$

For an SHM with a spring mass system,
$\omega ^{2} = \frac{k}{m}$

$k=m\omega ^{2}$

$k=m(2\pi f)^{2}$

$k=0.850*(2\pi *0.602)^{2}$

$k=12.161 N/m$