Free vibration of simply supported beam

A rod 20 mm diameters and 1.2 m long is simply supported at both end and has a mass of 2kg concentrated at the middle. Ignoring the weight of the rod, calculate the frequency of transverse vibrations. Take E=200 Gpa.?
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What is the value of logarithmic decrement if amplitude drops by 2 times between consecutive peaks ?
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The amplitude of a damped system will not change with time.
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For an under damped system
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The magnification factor is the ratio of maximum amplitude and static deflection.
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