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

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

1.	Two indentical springs each of force constant k are connected in paralle and they support a mass m.Calculate the time period of the system
Answer» SOLUTION :For parallel combinatin, the effecive force CONSTANT, is `k_(p)=k+k=2K` `:.T_(p)=2pi sqrt((m)/(k_(p)))=2pi sqrt((m)/(k))` Required ratio of the time periods, `(T_(s))/(T_(p))= sqrt((2k)/(k//2))=2`