Two identical springs each of force constant k are connected in parallel and they support a mass mu.Calculate the ratio of the frequency of oscillation of the mass in two systems.

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

1.	Two identical springs each of force constant k are connected in parallel and they support a mass mu.Calculate the ratio of the frequency of oscillation of the mass in two systems.
Answer» Solution :For paralle combination the effective force CONSTANT, `k_(p)=k+k=2K` `v_(p)=(1)/(2pi) sqrt((k_(p))/(m))` `=(1)/(2pi) sqrt((2k)/(m)) ""...(2)` `:.` RATIO of frequencies `=(v_(s))/(v_(p))= sqrt((k//2)/(2k))=(1)/(2)`