A harmonic oscillator of mass 60 g has a period of 10 seconds. What should the mass be in order to reduce the period to 5 seconds?

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Answer 1 · 2016-10-25T14:37:07

15g

For a mass spring system, we have period T as:

#T =2 pi sqrt ({m}/{k})#

for mass #m# and spring constant #k#

#implies T^2/m = const#, for a given spring

So

#(10^2)/(60) = (5^2)/(m)#

#implies m = 15 g#