4 votes

On the physical meaning of functionals and the interpretation of their output numbers

What does "the action of the process" mean here physically? The action $S$ is the integral of the Lagrangian: $$ S[q] = \int_{t_1}^{t_2}dt L(q(t),\dot q(t), t)\;, $$ where the Lagrangian is ...
hft's user avatar
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4 votes

Does the acceleration formula from dynamics apply in all cases?

This is Newton's 2nd law of motion and It's valid only in intertial frames of reference. In non inertial frames pseudo forces act on the system due to frame's acceleration. Find more about it here.
Sagar Kumar Biswal's user avatar
3 votes

Acceleration on a system of two particles

Define system. The answer depends on how the two particles are connected. Is there a fixed positional constraint (like a massless rod) between them? Another option is a force connection (like gravity, ...
John Alexiou's user avatar
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3 votes
Accepted

Confusion on Hamiltonian unbounded from below and Ostrogradsky Instability

What is important is that the spectrum of the Hamiltonian operator $\hat{H}$ is bounded from below, and that it has a ground state; not that the classical Hamiltonian $H$ is bounded from below in the ...
Qmechanic's user avatar
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2 votes

Can a person of a certain mass lift an object of a greater mass through a pulley?

Mechanical advantage allows a small force applied to one end of pulley system to lift a large weight on the other end. The force that you apply does not have to be equal to the weight of what you are ...
gandalf61's user avatar
  • 47.6k
2 votes

Acceleration on a system of two particles

Internal forces are those forces which are applied on both the particles, of equal magnitudes and opposite directions.That being said, in answer to your query:it depends on what the forces are. The ...
Stuti Gupta's user avatar
1 vote

What is the meaning force averaged over a long time?

There is method in this madness as I hope to explain in simple terms. This is the sort of calculation that you might encounter when considering the kinetic theory of gasses. The gas molecules are ...
Farcher's user avatar
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1 vote

What is the meaning force averaged over a long time?

The average force will be the force averaged over many collisions. So the average force is averaged over the whole time that the ball is moving, including the time taken to travel from one wall to the ...
gandalf61's user avatar
  • 47.6k
1 vote

Can a person of a certain mass lift an object of a greater mass through a pulley?

Putting humans in the mix never elucidates fundamental physics principles, and your initial analysis seems sensible--but you're imagining pulling through the arms. It's just not intuitive. Here, just ...
JEB's user avatar
  • 31.5k
1 vote

Does the acceleration formula from dynamics apply in all cases?

Yes.I think this formula applies in all cases. It is called Newton's second law: ...
Plamen Bajsić's user avatar

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