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

Two identical springs each of force constant k are connected in series

1.	Two identical springs each of force constant k are connected in series Calculate the frequency of the system
Answer» Solution :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)`