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In: Mechanical Engineering

(i) Write down the wave equation and find the general solution for longitudinal vibration of a...

(i) Write down the wave equation and find the general solution for longitudinal vibration of a beam using the method of separation of variable separation.

(ii) Find three lowest natural frequencies of longitudinal vibration of 1.5m beam with free-free boundary conditions at the ends. The modules of elasticity is 200e^9 N/m and density 7500 kg/m3.

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