A point mass m is suspended at the end of a massless wire of length L and cross-section area A . If Y is Young's modulus for the wire, then the frequency of oscillations for the SHM along the ver

Question

A point mass m is suspended at the end of a massless wire of length L and cross-section area A . If Y is Young's modulus for the wire, then the frequency of oscillations for the SHM along the vertical line is

TestHub · Accepted Answer

In this case, Stress = m g A Strain = l L (where l is extension) Now, Young's modulus Y is given by Y = s t r e s s s t r a i n = m g / A l / L m g = Y A l L So, k l = Y A l L ( ∵ m g = k l ) ( k is force constant) Now, frequency is given by n = 1 2 π k m = 1 2 π Y A m L

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