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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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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: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)
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
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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