Problem 4: The center of a long frictionless rod is pivoted at the origin, and the rod isforced to rotate in a horizontal plane with constant angular speed w. A bead of mass mis threaded on the rod. (a) Using the bead's distance from the pivot p as a generalizedcoordinate, write down the Lagrangian for the system. (b) Solve Lagrange's equation forp(t), in terms of initial conditions po and vo p(0). [This system should look familiar toyou from a previous problem set.]=

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Answered: Problem 4: The center of a long…

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