If the mass ratio of the absorber of Short Problem 6.43 is 0.2 and the natural frequency of the primary system is \(100 \mathrm{rad} / \mathrm{s}\), what are the natural frequencies with the absorber in place?

Data From Short Problem 6.43:

A machine vibrates at a frequency ratio of 1.05. A vibration absorber tuned to the excitation frequency is added to the machine. What is the value of

(a) \(r_{2}\),

(b) \(r_{1}\),

(c) \(q\) ?