A uniform rod of length l and mass per unit length m is attached to a spring of stiffness k at one end, and is clamped at the other end. A) write the equation of motion for axial vibrations u(x,t) of the rod. B) what are the boundary conditions? c) use the boundary conditions to derive an expression for the natural frequencies of the rod, and find the mode shapes

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07-12-2022
Physics

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A uniform rod of length l and mass per unit length m is attached to a spring of stiffness k at one end, and is clamped at the other end. A) write the equation of motion for axial vibrations u(x,t) of the rod. B) what are the boundary conditions? c) use the boundary conditions to derive an expression for the natural frequencies of the rod, and find the mode shapes

Sagot :

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