Q.If two pendulums of mass \( 50 gm \) each are suspended by a massless rigid rod of length \( 1 m \) each. Two masses are coupled by a massless spring of force constant \( k =250 \) dyne/cm. Calculate the normal mode frequencies of the coupled oscillator. [3]
(Take \( g=10 \frac{m}{s^{2}} \) )