A block of mass `m` fitted with a light spring of stiffness k and natural length `l_(0)` kept on a smooth radial groove made on a disc rotaing with a constant angular axis . If the block is released slowly . Find the maximum elongation of the spring

Explanation

If block is released slowely .
`kx = m omega^(2) (l_(0) + x) rArr l_(0) + x = (kx)/(m omega^(2))`

`rArr x = (kx)/(m omega^(2)) l_(0) rArr x = (kx - l_(0)m omega^(2))/(m omega^(2))`
`rArr x[(kx)/(m omega^(2)) - 1] = l_(0) rArr x = ((m omega^(2)l_(0))/(k -m omega^(2)))`