Question

One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to a massless spring of spring constant k. A mass m hangs freely from the free end of the spring. The area of cross-section and the Young’s modulus of the wire are A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to

Answer 1

Note Equivalent fore constant for a wire is given by k =AY/L.Because in case of a wire. F =(AY/L) ∆L and in case of spring F = k.∆x. Comparing these two, we find k of wire = AY/L.