A concentrated mass m is attached at the center of a rod of length 2 L – McqOptions

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1.	A concentrated mass m is attached at the center of a rod of length 2 L as shown in figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness 4 k. For very small amplitude of vibration, neglecting the weight of the rod and spring, the undamped natural frequency (wn) of the system is
A.	\(\sqrt {\frac{{2k}}{m}} \)
B.	\(\sqrt {\frac{{4k}}{m}} \)
C.	\(\sqrt {\frac{{8k}}{m}} \)
D.	\(\sqrt {\frac{{16k}}{m}} \)
Answer» E.

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