The kinetic and potential energies for a mechanical system with two generalized coordinates q1 and q2 are
i) Write down the Lagrangian for the system.
ii) Obtain the expressions for the generalized momenta.
iii) Derive the Euler Lagrange equations of motion for the system.
iv) Obtain the energy function for the system.
i) Lagrangian
The Lagrangian \( L \) is given by the difference between the kinetic energy \( T \) and the potential energy \( V \). If the system has two generalized coordinates \( q_1 \) and \( q_2 \), _________ ________ _________ _________ __________ ________ ______.
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The kinetic and potential energies for a mechanical system with two generalized coordinates q1 and q2 are
i) Write down the Lagrangian for the system.
ii) Obtain the expressions for the generalized momenta.
iii) Derive the Euler Lagrange equations of motion for the system.
iv) Obtain the energy function for the system.
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