For this case we have the following equation:
[tex]t = 2 \pi\sqrt{\frac{m}{k}}[/tex]
We must clear m:
We passed [tex]2 \pi[/tex]dividing the other side of equality:
[tex]\frac{t}{2\pi} = \sqrt {\frac{m}{k}}[/tex]
We raise both members to the square:
[tex]\frac{t^2}{4\pi^2}=\frac{m}{k}[/tex]
Finally, we multiply the value of k:
[tex]\frac{kt^2}{4\pi^2}=m[/tex]
Answer:
The value of m is given by:
[tex]\frac{kt^2}{4\pi^2}=m[/tex]
