Question
A wire of length L is made of material of density ρ and Young's modulus Y. It is suspended from a rigid support. On loading at the free end, it elongates by x. When the string is plucked, a stationary transversal wave is produced in the wire. Find the fundamental frequency of vibration of string, assuming the loaded end of string is a node.
Solution
Let r be the radius of the wire.
The tension in the wire is,
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Mass per unit length of wire is,
Now the frequency of fundamental note of vibration is,
The tension in the wire is,
Mass per unit length of wire is,
Now the frequency of fundamental note of vibration is,
