Consider a particle of mass m with kinetic energy T = mx² moving in one dimension in a potential V(x). Use the Euler-Lagrange equations to find the equation of motion.
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![Consider a particle of mass m with kinetic energy T = mx² moving in one dimension
in a potential V(x). Use the Euler-Lagrange equations to find the equation of motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe44e7fdc-f850-4dc9-8247-4240983c667e%2F69a7b8cb-2ded-4583-a76f-223502f5771a%2Fm0fg2r_processed.png&w=3840&q=75)
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