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A spring when connected by mass m gives time period T. If spring is cut in n equal parts and each part connected in parallel with same mass. New times period will be

A spring when connected by mass m gives time period T. If spring is cut in n equal parts and each part connected in parallel with same mass. New times period will be

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
T given as:
T = 2pi*root(k/m)
and after dividing into n equal parts we get,
T’ =2pi*root(k’/m)
and in parallel we know that,
k = nk’
hence substituting the k value we get,
T’ = 2pi*root(k/nm)
Hence in terms of T we get,
T' = T/(root(n))

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