Questions tagged [classical-mechanics]
Classical mechanics discusses the behaviour of macroscopic bodies under the influence of forces (without necessarily specifying the origin of these forces). If it's possible, USE MORE SPECIFIC TAGS like [newtonian-mechanics], [lagrangian-formalism], and [hamiltonian-formalism].
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Action-angle variables for three-dimensional harmonic oscillator using cylindrical coordinates
I am solving problem 19 of ch 10 of Goldstein mechanics. The problem is:
A three-dimensional harmonic oscillator has the force constant k1 in the x- and y- directions and k3 in the z-direction. Using ...
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Can a translational torque cause a change in rotational angular momentum? gyroscope example
Please confirm if my understanding is correct: The example of a gyroscope suspended from a pivot is a case in which translational torque causes a change in the direction of rotational angular momentum:...
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Vanishing virtual work done by non-holonomic constraints
I was reading classical mechanics by NC Rana. I was reading a topic on vanishing virtual work done due to constraint forces. How do you prove that the virtual work done by non-holonomic constraint ...
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Why does my curry "bounce back" after stirring?
I recently cooked a big pot of curry, consisting largely of coconut milk, a bit of chicken stock and some vegetables. You can probably imagine that it was somewhat thick in consistency. The cooking ...
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Is the Virial Theorem dependent on the classical Equipartition Theorem?
The Wikipedia entry for the Virial Theorem states:
"*The significance of the virial theorem is that it allows the average total kinetic energy to be calculated even for very complicated systems ....
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Generalized momentum
I am studying Hamiltonian Mechanics and I was questioning about some laws of conservation:
in an isolate system, the Lagrangian $\mathcal{L}=\mathcal{L}(q,\dot q)$ is a function of the generalized ...
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What's the need for 2 separate laws of motion when the first law is an special case of the second one? [duplicate]
The first law of newton tells us that a body shall remain unaccelerated when the net force acting on it is 0, but the second equation gives us the relation F=ma so, ain't the first law just an special ...
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Finding Exterior Confining Pressure from Interior Pressure Point for a Solid Disk
Essentially, I've been wrapping the pictured object tightly with string to exert a confinement pressure on its exterior. It's been difficult however to make a good estimate of how much pressure is ...
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Consider a car going to a level curve while coasting(by disengaging clutch) is there any situation in which the speed of the car will increase?
Consider a car going to a level curve while coasting(by disengaging clutch) is there any situation in which the speed of the car will increase? (neglect the air resistence, assume the coefficient of ...
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Larmor precession - analogy with gyroscopic precession
Almost everywhere in scientific literature, Larmor precession is introduced via an analogy with a spinning top.
I understand that in a quantum framework, precession can be explained considering the ...
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Temperature as a frequency
In Arnold's Mathematical Methods of Classical Mechanics, he leaves as an exercise to show that if $S(E)$ is the area enclosed by a closed phase curve of energy $E$, then $T:=S'(E)$ is the period of a ...
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Confusing Goldstein Statement about Magnitude of the Lagrangian
On page 345 of Goldstein's Classical Mechanics 3rd Ed., he writes:
...the Hamiltonian is dependent both in magnitude and in functional form upon the initial choice of generalized coordinates. For the ...
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Is it possible that work is being done on an object, it's kinetic energy doesn't changes and still the body is transferred from one point to another?
Recently, I read a book about Electrostatics which stated that "Electrostatic Potential at a point is defined as the work done to move a unit charge from a reference point (generally taken as ...
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The specific heat of an EM wave in classical physics
I'm reading Dirac’s Principles of Quantum Mechanics and, in the first chapter, he states:
… There must certainly be some internal motion in an atom to account for its spectrum, but the internal ...
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Distribution of forces on bolts in mechanical joints - what factors affect the uniformity of loading? [closed]
I have a question about the distribution of forces on bolts in mechanical connections. Suppose we have a flat bar bolted to a flat surface with three bolts along the longer edge. An equally ...
