GATE Mechanical Engineering (ME) 2017 Shift 1 Solved Paper

Question : 56 of 65

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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 = \;{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

$√{\;{5k}/{M}}$
$√{\;{5k}/{2M}}$
$√{\;{3k}/{2M}}$
$√{\;{3k}/{M}}$

Validate

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