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A body of weight 27N hangs on a long spr...

A body of weight `27N` hangs on a long spring of such stiffness that an extra force of `9 N` stretches the spring by `0.05m`. If the body is pulled downward and released, what is the period ?

Text Solution

Verified by Experts

`F = kx`
`:. k = (F)/(x) = (9)/(0.05) = 180 N//m`
`m = (W)/(g) = (27)/(10) = 2.7kg`
`T = 2pi sqrt((m)/(k)) = 2pi sqrt((2.7)/(180))`
` = 0.78 s`
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