A stone of mass m is tied to an elastic string of negligible mass...

A stone of mass m is tied to an elastic string of negligible mass and spring constant k. The unstretched length of the string is L and has negligible mass. The other end of the string is fixed to a nail at a point P. Initially the stone is at the same level as the point P. The stone is dropped vertically from point P. What shall be the nature of the motion after the stone has reached its lowest point?

Options

A ${{y}_{o}}=L+\frac{2m}{k}g$
B ${{y}_{o}}=L+\frac{m}{k}g$
C ${{y}_{o}}=L-\frac{2m}{k}g$
D ${{y}_{o}}=L-\frac{m}{k}g$

Correct answer

B. ${{y}_{o}}=L+\frac{m}{k}g$

Step-by-step solution

Correct Option is : (B)

{{y}_{o}}=L+\frac{m}{k}g

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