# How do you find the differential equation of motion?

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A rope of mass M and length L lies on a frictionless table, with a short portion Lo hanging through a hole. Initially the rope is at rest.

1) Find a general equation for x(t), the length of rope through the hole.

2) Evaluate the constants A and B so that the initial conditions are satisfied

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#### Solution Summary

The solution shows how to translate the language of the problem into a solvable differential equation. The solution then continues to solve the equation of motion. The full solution file contains 4 pages in an attached Word and PDF copy including diagrams and all derivations.

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