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» <html><body><p></p>Solution :For series <a href="https://interviewquestions.tuteehub.com/tag/combination-922669" style="font-weight:bold;" target="_blank" title="Click to know more about COMBINATION">COMBINATION</a>, the <a href="https://interviewquestions.tuteehub.com/tag/effective-966090" style="font-weight:bold;" target="_blank" title="Click to know more about EFFECTIVE">EFFECTIVE</a> force <a href="https://interviewquestions.tuteehub.com/tag/costant-2550125" style="font-weight:bold;" target="_blank" title="Click to know more about COSTANT">COSTANT</a>, <br/> `k_(s)=(kxxk)/(k+k)= (k)/(2)` <br/> `:.` Frequency, <br/> `v_(s)=(1)/(2pi) sqrt((k_(s))/(m))=(1)/(2pi) sqrt((k//2)/(m))` <br/> `=(1)/(2pi) sqrt((k)/(2m)) ""...(1)`</body></html>