Three particles of mass m each situated at x (1), x2 (t) and x3 (t) respectively are connected by two springs of spring constant k and un-streteched length (. The system is free to oscillate only in one dimension along the straight line joining all the three particles. The Lagrangian of the system is e. 20. m(dx 2| dt k (a) dt dt mdx (b) dx2 dx3 k dt dt dt m(dx dx2 dx3 (c) L: 2| dt dt dt dx dx2 dx3 m (d) L: x) di di di
Three particles of mass m each situated at x (1), x2 (t) and x3 (t) respectively are connected by two springs of spring constant k and un-streteched length (. The system is free to oscillate only in one dimension along the straight line joining all the three particles. The Lagrangian of the system is e. 20. m(dx 2| dt k (a) dt dt mdx (b) dx2 dx3 k dt dt dt m(dx dx2 dx3 (c) L: 2| dt dt dt dx dx2 dx3 m (d) L: x) di di di
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Transcribed Image Text:Three particles of mass m each situated at x (t), x2 (1) and x3 (t) respectively are
connected by two springs of spring constant k and un-streteched length (. The system
is free to oscillate only in one dimension along the straight line joining all the three particles.
The Lagrangian of the system is e.
20.
m(dx
dx2
dx3
k
(a)
dt
dt
dt
dx2
dx3
m
(b) L.
2
k
(x)
+
dt
dt
dt
(x)
m(dx,
dx3
(c) 2.
2
x)
2
k
(1x)
dt
dt
dt
(d) L=.
2
dx
dx2
dx3
di
dt
dt
Tx – Ix)
Tx - Ix)
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