Show that the equation of motion of a particle of mass m with spatial coordinate r and velocity v in a noninertial reference frame can be written in the form of the Euler-Lagrange equation with a potential given by m V = -mxr.v +mA r- :- 7 (nxr)², 2 where A is the frame's linear acceleration and is its angular velocity vector.
Show that the equation of motion of a particle of mass m with spatial coordinate r and velocity v in a noninertial reference frame can be written in the form of the Euler-Lagrange equation with a potential given by m V = -mxr.v +mA r- :- 7 (nxr)², 2 where A is the frame's linear acceleration and is its angular velocity vector.
Related questions
Question
100%
Transcribed Image Text:Show that the equation of motion of a particle of mass m with spatial coordinate r and velocity v
in a noninertial reference frame can be written in the form of the Euler-Lagrange equation with a
potential given by
m
V = −m x r · v + mA · r — 7 ( × r)²,
2
where A is the frame's linear acceleration and is its angular velocity vector.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
