A mass $m$ is suspended from the two coupled springs connected in series. The force constant for spr

Question

A mass $m$ is suspended from the two coupled springs connected in series. The force constant for springs are $k_{1}$ and $k_{2}$. The time period of the suspended mass will be\

Professor PC Thomas Classes · Answer

(d) : The effective spring constant of two springs in series is $k=\frac{k_{1} k_{2}}{k_{1}+k_{2}}$\ Time period, $T=2 \pi \sqrt{\frac{m}{k}}=2 \pi \sqrt{\frac{m\left(k_{1}+k_{2}ight)}{k_{1} k_{2}}}$\