Consider two small blocks, each of mass M, attached to two identical springs. One of the springs is attached to the wall, as shown in the figure. The spring constant of each spring is k. The masses slide along the surface and the friction is negligible. The angular frequency of one of the normal modes of the system is:
1
\( \sqrt{\frac{3 + \sqrt{2}}{2} }\sqrt{\frac{k}{M}} \)
2
\( \sqrt{\frac{3 + \sqrt{3}}{2} }\sqrt{\frac{k}{M}} \)
3
\( \sqrt{\frac{3 + \sqrt{5}}{2} }\sqrt{\frac{k}{M}} \)
4
\( \sqrt{\frac{3 + \sqrt{6}}{2} }\sqrt{\frac{k}{M}} \)