Approximately Ramanujan's Number in Mechanical Oscillations!

A load suspended from a weightless spring extends it by δ x = 1728 cm \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 g as 9.8 m/s 2 9.8 \text{ m/s}^2 .

Give your answer correct to six decimal places.


The answer is 9.303542.

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