• question_answer A body of mass m hangs from three springs, each of spring constant K, as shown. If the mass is slightly displaced and released, the system will oscillate with time period is: A)  $2\pi \sqrt{\frac{m}{3K}}$                  B)  $2\pi \sqrt{\frac{3m}{2K}}$C)              $2\pi \sqrt{\frac{3m}{3K}}$                D)  $2\pi \sqrt{\frac{3K}{m}}$

For the system of springs, ${{K}_{eq}}=\frac{K\times 2K}{K+2K}=\frac{2}{3}K$ $T=2\pi \sqrt{\frac{m}{\frac{2}{3}K}}$ $=2\pi \sqrt{\frac{3m}{2K}}$