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Statement of a problem № 3181

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A flexible rope of length L and mass per unit length n slides over the edge of a frictionless table. Initially let a length y0 of it be hanging at rest over the edge and at time t let a length y moving with a velocity d y/dt be over the edge. Obtain the equation of motion and discuss its solution.

Solution:
A flexible rope of length L and mass per unit length n slides over the edge of a

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