Explanation:
We have,
Spring constant of the spring, k = 165 N/m
Mass, m = 2 kg
It is required to find the period of the mass-spring system. For the spring mass system, the period is given by :
[tex]T=2\pi \sqrt{\dfrac{m}{k} }\\\\T=2\pi \sqrt{\dfrac{2}{165} }\\\\T=0.69\ s[/tex]
The frequency of vibration is reciprocal of its time period. So,
[tex]f=\dfrac{1}{T}\\\\f=\dfrac{1}{0.69}\\\\f=1.44\ Hz[/tex]
So, the period of the mass-spring system is 0.69 s and frequency is 1.44 Hz.
