Rick16's latest activity
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Rick16 replied to the thread Undergrad Landau, volume 1, chapter 1, problem 4: Lagrangian of a somewhat complex system.I just thought about something. I am new to Landau and I am not familiar with his style. When he writes the displacement as ##dl_1^2... -
Rick16 posted the thread Undergrad Landau, volume 1, chapter 1, problem 4: Lagrangian of a somewhat complex system in Mechanics.This problem has been addressed before under... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.In any case, this is my first reading of the text, and I am satisfied that I can show that ##\vec v## is constant when I assume that the... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.@Vincf already had a counter example in #5. -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.The fact that dL/dv is constant was never the question. The question was why v is constant. -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.This would be my next problem: I don't understand the paragraph before equation 4.1. But like I already wrote, my head is already... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.I also tried out several different functions for ##L(v^2)##, but I found that the velocity was constant for all of them. You apparently... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.Yes, I know, but PeroK's suggestion is one way to see why the velocity would have to be constant (provided I already know the form of... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.I just wanted to ask why on earth the Lagrangian would be ##L=\sqrt {v_x^2 +v_y^2 +v_z^2}##, when I discovered that you had changed... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.Thank you, that is an interesting trick with the ratios. It is not likely that I would have thought of it. I suppose you know how to do... -
Rick16 replied to the thread Undergrad Velocity of a free particle using Landau's approach.This question does not seem to evoke a lot of interest. Could somebody just tell me if it is legitimate to write ##\frac{d}{d\vec... -
Rick16 posted the thread Undergrad Velocity of a free particle using Landau's approach in Classical Physics.I have begun reading Landau's Mechanics. In chapter 1, §3 he writes ##\frac {\partial L} {\partial \vec v}=const.##, where ##L## is a... -
Rick16 replied to the thread Undergrad Potential energy of a system of particles.Thank you. This is it. It is not even new to me. I read about it probably more than once, but I had completely forgotten about it. This... -
Rick16 replied to the thread Undergrad Potential energy of a system of particles.One more comment to show where exactly my problem lies: Potential energy is defined at a specific position. A System does not have a... -
Rick16 replied to the thread Undergrad Potential energy of a system of particles.Here is the solution: The kinetic and potential energies of the system are $$U_k=2\cdot\frac{1}{2}mv^2=mv^2,~~~U_p=-\frac{Gm^2}{2r}.$$...
