Problem 4: The center of a long frictionless rod is pivoted at the origin, and the rod is forced to rotate in a horizontal plane with constant angular speed w. A bead of mass m is threaded on the rod. (a) Using the bead's distance from the pivot p as a generalized coordinate, write down the Lagrangian for the system. (b) Solve Lagrange's equation for p(t), in terms of initial conditions Po and vo p(0). [This system should look familiar to you from a previous problem set. 1

icon
Related questions
Question
Problem 4: The center of a long frictionless rod is pivoted at the origin, and the rod is
forced to rotate in a horizontal plane with constant angular speed w. A bead of mass m
is threaded on the rod. (a) Using the bead's distance from the pivot p as a generalized
coordinate, write down the Lagrangian for the system. (b) Solve Lagrange's equation for
p(t), in terms of initial conditions po and vo p(0). [This system should look familiar to
you from a previous problem set.]
=
Transcribed Image Text:Problem 4: The center of a long frictionless rod is pivoted at the origin, and the rod is forced to rotate in a horizontal plane with constant angular speed w. A bead of mass m is threaded on the rod. (a) Using the bead's distance from the pivot p as a generalized coordinate, write down the Lagrangian for the system. (b) Solve Lagrange's equation for p(t), in terms of initial conditions po and vo p(0). [This system should look familiar to you from a previous problem set.] =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Similar questions