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 modules of the wire are A and Y respectively. Find the time period with which mass m will oscillate if it is slightly pulled down and released.

Answer 1

As there is no mass between the spring and wire, the restoring forces in the spring and the wire will be the 

same, i.e. F₁ = F₂ = F. 

If mass m is pulled by y