4. The Lagrangian of a particle of mass mmoving in a plane is given by L =(½)m v+v +a(xv, - yv) where v, and v, are velocity components and a is a constant. The cannonical momenta of the particle are given by: (a) Px = mv, and Py = mv, (b) Px = mv, + ay and Py = mv, + ax %3D (c) Px = mv - ay and P, = mv, +ax (d) Px = mvx - ay and Py = mv, + ax %3! %3D

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TheLagrangian of a particle of mass mmoving ina plane is given by L = ()m v +v
4.
+a(xv, - yvx) where v, and v, are velocity components and a is a constant. The
cannonical momenta of the particle are given by:
(a) px = mv, and Py = mv,
(b) Px = mv, +ay and Py = mvy
+ ax
(c) Px = mv, - ay and P, = mv, + ax
(d) Px = mvx - ay and Py = mvy
+ ax
%3D
Transcribed Image Text:TheLagrangian of a particle of mass mmoving ina plane is given by L = ()m v +v 4. +a(xv, - yvx) where v, and v, are velocity components and a is a constant. The cannonical momenta of the particle are given by: (a) px = mv, and Py = mv, (b) Px = mv, +ay and Py = mvy + ax (c) Px = mv, - ay and P, = mv, + ax (d) Px = mvx - ay and Py = mvy + ax %3D
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