Mechanical Engineering > GATE 2025 > Free Vibrations
The system shown in the figure below consists of a cantilever beam (with flexural rigidity EI and negligible mass), a spring (with spring constant K and negligible mass) and a block of mass m. Assuming a lumped parameter model for the system, the fundamental natural frequency (ωn) of the system is
A
√((3EI/L3)+K)/m
B
√((EI/L3)+K)/m
C
√((3EI/L3)+K)/(2m)
D
√((EI/L3)+K)/(2m)

Correct : a

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