The Lagrangian of the system is given by: * 1 L = m(210; + l²ô¿) + ml²è‚¿2(cos0,cos02 – sin8,sin02) + mgl(2cos0, + cos02)
The Lagrangian of the system is given by: * 1 L = m(210; + l²ô¿) + ml²è‚¿2(cos0,cos02 – sin8,sin02) + mgl(2cos0, + cos02)
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Transcribed Image Text:The Lagrangian of the system is
given by: *
L =;m(2107 + l²03)
+ ml²0,0¿(cos0,cos02 – sin®,sin02)
|
+ mgl(2cos0, + cos02)
1
=
+ ml²0,ô2(cos0,cos02 + sinO,sin02)
+ mgl(2cos0, + cos02)
Transcribed Image Text:Consider the double pendulum shown on figure below. A double
pendulum is formed by attaching a pendulum directly to another
one. Each pendulum consists of a bob connected to a massless
rigid rod which is only allowed to move along a vertical plane.
The pivot of the first pendulum is fixed to a point 00. All motion
is frictionless.
x2
m
g
02
Y2
m
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