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A block with a mass of 3.00 kg is suspen...

A block with a mass of `3.00 kg` is suspended from an ideal spring having negligible mass and stretches the spring by `0.2 m`.
(a) What is the force constant of the spring?
(b) What is the period of oscillation of the block if it is pulled down and released ?

Text Solution

Verified by Experts

(i) In equlibrium , `kl=mg therefore k=(mg)/(l)`
Substituting the proper values, we have
`k=((3)(9.8))/(0.2)=147Nm^(-1)`
(ii) `T=2pisqrt((l)/(g))=2pisqrt((0.2)/(9.8))=0.897 s`
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