The first part seems correct to me.

Originally Posted by **xenu** Which system will have greater frequency, and what is the ratio of the frequency of the second mass to the first.
I've looked at the answer key and the next step has T2=2pi/2 x sq rt m/k, but i'm not seeing how it got there. I assume it's an algebraic process that I don't understand, can anyone help? |

Frequency is related to the period:

$\displaystyle T = \frac{1}{f}$

Therefore, the ratio of the frequencies is

$\displaystyle \frac{f_2}{f_1} = \frac{T_1}{T_2} = \frac{2 \pi \sqrt{\frac{m}{k}}}{2 \pi \sqrt{\frac{m}{4k}}}$

Have a go at simplifying this to a nicer form...