Mechanical Engineering > GATE 2017 SET-1 > Natural Frequency
A thin uniform rigid bar of length L and mass M is hinged at point O, located at a distance of L/3 from one of its ends. The bar is further supported using springs, each of stiffness k, located at the two ends. A particle of mass m = M/4 is fixed at one end of the bar, as shown in the figure. For small rotations of the bar about O, the natural frequency of the system is
A
√(5k/M)
B
√(5k/2M)
C
√(3k/M)
D
√(3k/2M)

Correct : b

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