Classical Dynamics of Particles and Systems · Problem 6-6

Hamilton's Principle—Lagrangian and Hamiltonian Dynamics — Marion & Thornton

Physics — Mechanics · brachistochrone-minimum-time

Problem

Reexamine the problem of the brachistochrone (Example 6.2) and show that the time required for a particle to move (frictionlessly) to the minimum point of the cycloid is πa/g\pi\sqrt{a/g}, independent of the starting point.

Browse the problem library