# A Problem from my book -2

Classical Mechanics Level pending

A mass of $$2 \text{ kg}$$ is attached to a spring of spring constant $$k$$. The system can rotate about point $$O$$. The system is initially at equilibrium and arrangement is vertical. The block is given a velocity $$v$$ minimum so that it just(boundary condition) completes its one revolution around point $$O$$. Find the eccentricity of path followed by the block about point $$O$$. ( $$g= 10 \text{ m/s}^2$$)

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