Approximately Ramanujan's Number in Mechanical Oscillations!

Classical Mechanics Level 3

A load suspended from a weightless spring extends it by $$\delta x = 1728 \text{ cm}$$. What will be the oscillation period of the load when it is pushed slightly in the vertical direction? The logarithmic damping decrement is 3.1.

Take the value of $$g$$ as $$9.8 \text{ m/s}^2$$.

Give your answer correct to six decimal places.

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