A body of mass m attached to a spring which is oscillating with time period 4 s. If the mass of the body is increased by 4 kg, its time period increases by 2 s. Determine value of initial mass m.
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In `I^(st)` case : `T = 2pisqrt((m)/(k)) rArr 4 = 2pisqrt((m)/(k))`….(i) and in `II^(nd)` case: `6 = 2pi sqrt((m+4)/(k))`…..(ii) Divide `(i)` by `(ii) (4)/(6) = sqrt((m)/(m+4)) rArr (16)/(36) = (m)/(m+4) rArr m = 3.2 kg`
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