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Lagrangian Dynamics
O'
A simple pendulum of mass m is piv-
oted to the block of mass M, which
slides on a smooth horizontal plane. O
The mass M is connected to a spring of
stiffness k, and the reference of poten-
tial energy is at the smooth horizontal
plane.
ee
1. Find the velocity of mass m, w.r.t the origin O
2. Write the Lagrangian of the system
3. Derive the Euler Lagrangee equations
3.

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