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 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

Question

Infinity Learn · Accepted Answer

Wire is equivalent to a spring of spring constant,  k′$$=AYLk$$′ and k are in series, $$keq=k$$′kk′$$+k=(AY/L)kAYL+k=AYkAY+kLT=2$$$$π$$$$mkeq=2$$$$π$$$$m(AY+kL)AYk$$

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