# 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.