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

Ratio of oscillation frequency is 1.41

Step-by-step explanation:

Given

m2=2.00m

m1=m

The angular frequency is given as

`w=\sqrt{(K)/(m) }\\ where \\T=2\pi \sqrt{(m)/(K) }`

For two different masses m1 and m2

`(w_(1) )/(w_(2))=\sqrt{(((K)/(m1) ))/(((K)/(m2) )) }\\(w_(1) )/(w_(2))=\sqrt{(m2)/(m1) }\\   (w_(1) )/(w_(2))=√(2)\\ so\\ratio=1.41`