Classical Dynamics of Particles and Systems · Problem 6-18

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

Physics — Mechanics · lagrange-multipliers-constrained-motion-surface

Problem

A particle of mass mm is constrained to move under gravity with no friction on the surface xy=zxy = z. What is the trajectory of the particle if it starts from rest at (x,y,z)=(1,−1,−1)(x, y, z) = (1, -1, -1) with the zz-axis vertical?

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