# Equations of motion

A particle of mass m moves in three dimensions under the potential V(r).

Write the Lagrangian and find the equations of motion.

https://brainmass.com/physics/energy/particle-mass-moves-three-dimensions-199169

#### Solution Summary

The solution shows how to obtain the kinetic energy in spherical coordinates, construct the Lagrangian and derive the equation of motion of a particle moving under the influence of central potential.

$2.19