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Consider a tight string with one end fixed and the other attached to a mass, M, sliding in a vertical slot. The spring of stiffness
Consider a tight string with one end fixed and the other attached to a mass, M, sliding in a vertical slot. The spring of stiffness k opposed motion in the vertical direction. First, write the boundary conditions. The boundary condition on the end with the mass and spring will involve the deflection of the mass and the slope of the spring. You wish to check your boundary conditions before proceeding. Next, find the first 3 natural frequencies and plot the associated mode shapes
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