This is a very old qsn.
The qsn goes like this, that u have a mass m performing SHM, with a spring of spring const. k, and then when the mass reaches it's mean position, another mass m drops on it - so what will be the new amplitude & blablabla....
Previously the amplitude was a.
We solve it by conserving energy, getting a'=a/root 2.....but in doing so, we keep the angular frequency omega unchanged - should it not be changed as well, i.e should it not be \sqrt{\frac{k}{2m}} instead of \sqrt{\frac{k}{m}}?
In other words, why do we keep the time-period const. and not the amplitude?
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