Question

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 2.00 m?

Answer 1

Answer:

Ratio of oscillation frequency is 1.41

Explanation:

Given

m2=2.00m

m1=m

The angular frequency is given as

$w=\sqrt{\frac{K}{m} }\\ where \\T=2\pi \sqrt{\frac{m}{K} }$

For two different masses m1 and m2

$\frac{w_{1} }{w_{2}}=\sqrt{\frac{(\frac{K}{m1} )}{(\frac{K}{m2} )} }\\\frac{w_{1} }{w_{2}}=\sqrt{\frac{m2}{m1} }\\ \frac{w_{1} }{w_{2}}=\sqrt{2}\\ so\\ratio=1.41$