1.

A mass m is hung on an ideal massless spring another equal mass is connected to the other end of the spring the whole system is at rest at t=0 m is released and the system falls freely under gravity assume that natural length of the spring is L_(0)its initial stretched length is L and the acceleration due to gravity is g what is distance between masses as function of time

Answer»

`L_(0)+(L-L_(0))cos sqrt((2k)/m)t`
`L_(0)cos sqrt((2k)/m)t`
`L_(0)sinsqrt((2k)/m)t`
`L_(0)+(L-L_(0))sin sqrt((2k)/m)t`

Solution :In CM frame both the masses execute SHM with
`omega=sqrt(k/mu)=sqrt ((2k)/m)`
initially PARTICLES are at EXTREME
`DISTANCE = L_(0)+(L-L_(0))cos sqrt((2k)/m)t`


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