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Grade 11Mechanics

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

Profile image of Smriti
9 Years agoGrade 11
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1 Answer

Profile image of Vikas TU
9 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))