## Maximum longitudinal displacement amplitude, Physics

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A bar of length l is clamped at x=0 and loaded with a mass mat x=l.(a) apply these boundary conditions to equation x=A e^(wt+kx)+Be^(wt- kx) and thereby determine an equation from which the fundamental frequency of longitudinal vibrations may be computed.(b) Determine the fundamental frequency of such a system composed of a steel bar of0.5-mlength and 0.0001 m2 cross-sectional area to which is fastened a mass of 0.15 kg.(c) When a bar in vibrating in this manner, what position along tghe bar haste maximum longitudinal displacement amplitude?

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