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bengeof
how is md^2r/dt^2 . dr/dt = d/dt (1/2 m (dr/dt)^2 )
Thank You
Thank You
bengeof said:how is md^2r/dt^2 . dr/dt = d/dt (1/2 m (dr/dt)^2 )
Thank You
bengeof said:Can you work it out for me explicitly ?
Ibix said:Can you state the chain rule? Can you apply it to the time derivative of ##(dr/dt)^2##?
PeroK said:
bengeof said:I was able to work out the right hand side. But the left hand side is my problem. .
bengeof said:2dr/dt . . is that right ?
Classical Mechanics Goldstein Eq3.14 is an equation in the field of classical mechanics that is commonly used to calculate the motion of a system of particles. It is also known as the Lagrange's equation of motion and is derived from the principle of least action.
Classical Mechanics Goldstein Eq3.14 is derived from the principle of least action, which states that the actual path taken by a system is the one that minimizes the action of the system. This equation is obtained by applying the variational principle to the Lagrangian of the system.
Classical Mechanics Goldstein Eq3.14 represents the equations of motion of a system of particles. It describes the relationship between the positions, velocities, and accelerations of the particles in the system.
Classical Mechanics Goldstein Eq3.14 is important because it provides a powerful tool for predicting and analyzing the motion of complex systems. It is widely used in various fields such as physics, engineering, and astronomy to understand the behavior of physical systems.
To use Classical Mechanics Goldstein Eq3.14, you need to have a good understanding of basic physics principles and mathematical concepts such as calculus and vector algebra. You can then apply this equation to solve problems involving the motion of particles in a system, such as projectile motion or planetary motion.