Two indentical springs each of force constant k are connected in series and support mass m. Calculate time period of the system

Two indentical springs each of force constant k are connected in serie

1.	Two indentical springs each of force constant k are connected in series and support mass m. Calculate time period of the system
Answer» SOLUTION :For series combination, the effective FORCE constant is, `k_(s)=(kxxk)/(K+k)=(k^(2))/(2K)=(k)/(2)` `:. T_(s)\= 2PI sqrt((m)/(k_(s)))= 2pi sqrt((m)/(k//2))`