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GATE Mechanical Engineering (ME) 2017 Shift 1 Solved Paper

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Question : 56

Total: 65

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 spring, each of stiffness k, located at the two ends. A particle of mass m=‌

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

√‌
5k
M
√‌
5k
2M
√‌
3k
2M
√‌
3k
M

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