Asimple harmonic oscillator has a time period of 4s. if the mass of the system is 2kg, what is the force constant of the spring used?

To solve this problem we will apply the concepts related to angular velocity as a function of the Period of a body. And with this angular velocity we will proceed to find the spring constant using the ratio of the mass and the square of the angular velocity. Our values are

The angular frequency is defined as,

Replacing,

Now the constant of the spring is defined as,

Replacing,

Therefore the force constant of the spring used is 4.93N/m