Where Will It Sag To?

Classical Mechanics Level 4

A mass (of negligible size) is attached to two initially un-stretched springs. The other end of each spring is anchored at a fix point, as shown in the picture. Spring parameters are shown in the picture. The mass falls from its initial position under the influence of gravity and of the springs.

Assuming that air resistance eventually brings the mass to rest, what is the sum of the absolute values of the equilibrium \(x\) and \(y\) coordinates?

All quantities are in SI units.

Feel free to solve using any method of your choosing.


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