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