Halliday, Resnick & Walker — Oscillations: Problem Problem_96

A spider can tell when its web has captured, say, a fly because the fly’s thrashing causes the web threads to oscillate. A spider can even determine the size of the fly by the frequency of the oscillations. Assume that a fly oscillates on the capture thread on which it is caught like a block on a spring. What is the ratio of oscillation frequency for a fly with mass m to a fly with mass 2.5m?