engineering recuitment HPCL Engineer Mock Test 2024 Mechanical Vibrations Undamped Free Vibration Equivalent Stiffness
A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of the system is:
1
\(\sqrt {\frac{k}{m}}\)
2
\(\sqrt {\frac{{2k}}{m}}\)
3
\(\sqrt {\frac{k}{{2m}}} \)
4
\(\sqrt {\frac{{4k}}{m}}\)