A particle starting from rest at x = 1 moves along the x axis toward the origin. Its

Chapter 11, Problem 16

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A particle starting from rest at x = 1 moves along the x axis toward the origin. Its potential energy is V = 1 2m ln x. Write the Lagrange equation and integrate it to find the time required for the particle to reach the origin. Caution: dx/dt < 0. Answer: ( 1 2 ).

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