Teaching CSIR NET Mock Test Series Mathematical Science Classical Mechanics Lagrange & Hamilton’s Canonical Equations
A point particle having unit mass is moving in x, y plane having the Lagrangian as follows
L = ẋẏ − 2x2 − 2y2
What are the possible values of pr (conjugate momentum to radial coordinate in plane polar coordinate)?
1
ṙ
2
ṙ sin 2θ + r θ̇ cos 2θ
3
ṙ sin θ + r θ̇ cos θ
4
2ṙ sin θ + r θ̇ cos θ