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 arc A and Y respectively. If the mass is slightly pulled down and released, it will oscillate with a time period T equal to:

Question

Infinity Learn · Accepted Answer

An elastic string behaves like spring with spring constant $$k=AYLNow$$                                    $$keff=AYLkAYL+kSo$$,                                   $$T=2$$$$π$$$$mYAkYA+kL$$

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