Two identical springs each of force constant k are connected in series Calculate the frequency of the system

Explanation

For series combination, the effective force costant,
`k_(s)=(kxxk)/(k+k)= (k)/(2)`
`:.` Frequency,
`v_(s)=(1)/(2pi) sqrt((k_(s))/(m))=(1)/(2pi) sqrt((k//2)/(m))`
`=(1)/(2pi) sqrt((k)/(2m)) " "...(1)`