Calculate steady state response, Mechanical Engineering

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A light cantilever of rectangular section (5cm deep and 2.5 cm wide) has a mass fixed at its free end. Find the ratio of frequency of free lateral vibration in vertical plane to that in a horizontal plane.

(a) Derive the governing equation of single degree spring mass damped system under harmonic excitation, using D' Alembert's principle.

(b) Calculate steady state response of the above described system for harmonic excitation with fixed amplitude.

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