Question

Replacing an object attached to a spring with an object having 1 4 the original mass will change the frequency of oscillation of the system by a factor of?

Answer 1

Answer:

 f = 2 f₀

Explanation:

A mass-spring system has angular velocity

         w = √ k / m

The angular velocity is related to the frequency

          w = 2π f

          f = 1 /2π  √k / m

       

If we change the mass for another that is ¼ of the initial mass

            m = ¼ mo

We replace

             f = 1 / 2π √(k 4 / mo)

             f = (1 / 2π √k/m₀) √ 4

             f = 2 f₀

In summary the frequency doubles from the initial frequency