Question

an unknown mass is attached to the end of an ideal spring with a force constant 100 N/m. the mass vibrates in SHM with a frequency of 5.0 hz. find (a ) the period of oxcillation ,(b) the angular frequency, and (c) the mass of the body

Answer 1

(a) T=1/f=0.2 s

(b) $\omega=2\pi f=31.4\text{ rad/s}.$

(c)

$$\omega=\sqrt{\frac km}→m=\frac {k}{\omega^2}=3.18\text{ kg}.$$