
	Where results make sense

Topic: Proof of angular momentum

Related Topics

Angular momentum

Angular momentum coupling

Momentum

Torque

Torque wrench

List of mathematical topics in classical mechanics

Torque Game Engine

Conservation law

Bias (statistics)

Radian

Yen

	Articles - Spin (physics) (Site not responding. Last check: 2007-10-13)
		In physics, spin refers to the angular momentum intrinsic to a body, as opposed to orbital angular momentum, which is generated by the motion of its center of mass about an external point.
		For instance, the spin angular momentum of the Earth is associated with its 24-hourly rotation about the polar axis, which gives rise to the day-night cycle.
		The proof of this is known as the spin-statistics theorem, which relies on both quantum mechanics and the theory of special relativity.
	www.lastring.com /articles/Spin_(physics)?mySession=b6e41be2e01097e353b3cf2f1a7acf2a (1997 words)

	Fundamental Proof of Static Nuclear Structure and Atomic Physics
		Angular momentum of nuclear spin is thought to be in only quantized values.
		Although Bohr's theory was an entirely incorrect application of angular momentum from Kepler's laws and made no attempt to justify the specification of the energy levels, it had become entrenched in academic rhetoric and could not be abandoned when it failed upon the refinement of spectroscopic analyses.
		This inability is not proof that the mechanical situation is mere manifestations of magic values of quantum, as this field of theory states.
	home.earthlink.net /~kdthrge (4018 words)

	Amazon.com: Books: Angular Momentum (Site not responding. Last check: 2007-10-13)
		This book introduces the quantum theory of angular momentum to students who are unfamiliar with it and develops it to a stage useful for research.
		Introduces the quantum theory of angular momentum to students who are unfamiliar with it and develops it to a stage useful for research.
		It is one of three books on angular momentum theory that came out at around the same time (the others are by Rose and Edmonds), each has a different approach to the subject, and serious students usually have a copy of all three; this is generally considered to be the most readable.
	www.amazon.com /exec/obidos/tg/detail/-/0198517599?v=glance (797 words)

	Untitled Document (Site not responding. Last check: 2007-10-13)
		The rotational inertia of an object is the resistance of that body to a change in its angular velocity much as the mass of an object is a measure of its resistance to a change in its linear motion.
		Any rotating object can be thought of in terms of its angular momentum from the motions inside of individual atoms, the spinning of an ice skater, to the collapse of galaxies.
		Angular momentum is a vector quantity, and its direction will be left to a future activity.
	jpsi.ma.psu.edu /~mad10/lab9/lab9.html (1332 words)

	Torque (Site not responding. Last check: 2007-10-13)
		The rotational analogues of force, mass and acceleration are torque, moment of inertia and angular acceleration respectively.
		However, time and rotational distance are related by the angular speed where each revolution results in the circumference of the circle being travelled by the force that is generating the torque.
		However, angular speed must be in radians, per the assumed direct relationship between linear speed and angular at the beginning of the derivation.
	www.usedaudiparts.com /search.php?title=Torque (1305 words)

	CFS instability
		The sign of the angular momentum carried away by the gravitational waves is the same as that of the angular momentum of the mode pattern as measured in the inertial frame (we recall that all measurements have a consistent definition when made in this frame).
		angular momentum as it decreases the total angular momentum of the star (the perturbed star has a smaller angular momentum than the unperturbed one and therefore spins a bit slower).
		It is important to bear in mind that in order to establish whether angular momentum has been carried away from the system, one needs the consider the measurements made in the inertial frame.
	www.sissa.it /ap/RelAstro/cfs.html (690 words)

	Proof of Action Without Equal and Opposite Reaction (Site not responding. Last check: 2007-10-13)
		It also is taken to imply that linear momentum is always conserved, and angular momentum is always conserved.
		Angular velocity relative to axis of rotation is:
		“Conservation of Linear Momentum” is valid for strictly linear systems, but in systems where reaction is part angular and part linear, neither linear nor angular momentum are conserved, rather their sum is conserved.
	www.montalk.net /newton/newtonmath.html (836 words)

	Torque biography .ms (Site not responding. Last check: 2007-10-13)
		The rotational analogues of force, mass and acceleration are torque, moment of inertia and angular acceleration.
		The force applied to a lever, multiplied by its distance from the lever's fulcrum, is the torque.
		Torque is the time-derivative of angular momentum, just as force is the time derivative of linear momentum.
	torque.biography.ms (591 words)

	3.2 On the global energy-momentum and angular momentum of gravitating systems: The successes (Site not responding. Last check: 2007-10-13)
		The Ashtekar-Hansen definition for the angular momentum is introduced in their specific conformal model of the spatial infinity as a certain 2-surface integral near infinity.
		Similarly to the ADM case, the simplest proofs of the positivity of the Bondi energy [330] are probably those that are based on the Nester-Witten 2-form [214] and, in particular, the use of two-components spinors [255, 256, 205, 203, 321]: The Bondi-Sachs mass (i.e.
		Since the motions that their angular momentum generators define leave the domain of integration fixed, and apparently there is no Lorentzian 4-space of origins, they appear to be the generators with respect to some fixed ‘centre-of-the-cut’, and the corresponding angular momentum appears to be the intrinsic angular momentum.
	www.univie.ac.at /EMIS/journals/LRG/Articles/lrr-2004-4/articlesu4.html (2951 words)

	Physics and Astronomy Forums - angular momentum vs. aerodynamics - General Physics Discussion
		I know angular momentum describes processes in the universe completely unrelated to air (and therefore aerodynamics), so my question is this: is the figure skater description an analogy where one force (aerodynamics) is used to describe another force (angular momentum), or is this pirouette action in fact a manifestation of that force?
		Angular momentum is different from linear momentum in that it takes into account the mass of the spinning object, its angular velocity, and the radius of rotation (when the velocity is perpendicular to the radius, which holds for the case of a figure skater).
		There is nothing in the formula that takes into account her effective cross-section (meaning that two skaters of equal mass and angular velocity and radius will always have the same angular momentum, regardless of how much drag they may have due to costumes, cross-sectional size of their arms, etc.).
	www.physlink.com /Community/Forums/viewmessages.cfm?Forum=17&Topic=1448 (2633 words)

	TORQUE FACTS AND INFORMATION
		For metric SI units power is watts, torque is newton-metres and angular speed is radians per second (not rpm and not even revolutions per second).
		For different units of power, torque or angular speed, a conversion factor must be inserted into the equation.
		However angular speed must be in radians, by the assumed direct relationship between linear speed and angular speed at the beginning of the derivation.
	www.dontpayyourtaxes.com /torque (1228 words)

	Venus' mysteries, another view. - Page 2 - Bad Astronomy and Universe Today Forum
		And presumably, this angular momentum would be somewhere between that of the mantle and that of the inner core.
		As the momentum is mass times spin radius and the total momentum is constant, the spinning keeps increasing when the particles approach each other, decreasing the radius when they are building the planet.
		But again, since the particles average already the required momentum for their radius and they are moving inwards while attaching to the core, the radius decreases and the particle spins up, adding more speed to the solid inner core.
	www.bautforum.com /showthread.php?t=10879&page=2&pp=20 (3954 words)

	s Orbital and Angular Momentum
		It cannot be moving because it would then have angular momentum which would mean it was no longer in the s orbital, but the p orbital (it could move in a straight line but then it would fly off into space).
		So a classical particle can have instantaneous non-zero angular momentum, but it can average out to be zero.
		Similarly, the angular momentum quantum number is not so much designating a specific physical value, but really is referring to how that particular value goes into the Schroedinger equation.
	www.newton.dep.anl.gov /askasci/chem03/chem03457.htm (1565 words)

	Physics Lecture 22 - Angular Momentum
		The importance of the angular momentum comes into play when we attempt to do problems for which the net external force can not be usefully defined to be zero.
		Momentum for the rod and particle is therefore not conserved since the net external force on the system of rod and particle is not zero at the moment of collision.
		Before the collision, the angular momentum is defined by the angular momentum of the particle and the rod relative to the axis of rotation through the hinge, thus
	dept.physics.upenn.edu /courses/gladney/phys150/lectures/1996-97/lecture_apr_02_1997.html (1900 words)

	Binary Research Institute (Site not responding. Last check: 2007-10-13)
		The angular momentum issue is a well documented problem that has baffled solar system formation theorists for many years.The Sun contains 99.9 % mass, but only 1% of the total Angular Momentum.
		An object in Rotational motion has an Angular Momentum L equal to its moment of inertia S (mi r2i) times its angular velocity w.
		All these years, the Sun has had the proper angular momentum but it is not in it’s spin, it is in it’s movement through space.
	www.binaryresearchinstitute.org /evidence/angular.shtml (253 words)

	Re: Electromagnetic angular momentum, circularly polarized light, and Be
		The proof that the field angular momentum is the integral over all space of r x (E x H), strictly speaking, only works if the electromagnetic fields go to zero fast enough at infinity.
		In this case, the angular momentum density r x (E x H) does integrate up to give the right value, but the contributions come mostly from the fringes of the wave packet.
		Angular momentum is conserved, no matter what in detail happens with the scattering at the boundary.
	www.lns.cornell.edu /spr/2001-08/msg0035183.html (970 words)

	Kepler's laws: Conservation of angular momentum
		Angular momentum is a quantity which plays the same part in rotational mechanics as linear momentum does in linear mechanics.
		Because the Sun does not apply a torque to a planet from its gravitational influence, the angular momentum of the planet remains constant; it is conserved.
		This relates the angular momentum of a planet to its mass, position, and velocity.
	www.alcyone.com /max/physics/kepler/2.html (282 words)

	Atoms 1
		The angular momentum of the orbit is L = mrv = mr
		For an electron in a quantum state the angular momentum is quantized, of course.
		The orientation of this B-field is the same as that of the (apparent) angular momentum of the nuclear "orbit".
	www.phy.duke.edu /courses/100/lectures/Atom1/atom1.html (1457 words)

	sciforums.com - Stern Gerlach experiment ...
		But the result is a few spikes with nothing in between, which indicates that the angular momentum must be quantized in the direction of the magnetic field, and iterated experiments tell us that things are overall quantized like that.
		The matter of "angular momentum" and "spin" is presently described in a mathematical ad hoc form.
		The particles behave exactly alike regarding their "anguilar momentum" which is not necessarily a significant parpameter regarding the spin attributes of he particle.
	www.sciforums.com /showthread.php?p=728053 (5604 words)

	Stirniman16-AG
		The state has total angular momentum quantum number 3/2, and thus is spolit into four equally spaced levels by the magnetic field.
		The subject of compound angular momentum, or internal and external angular momentum, or intrinsic and extrinsic angular momentum has been a repressed subject for about 2 and half decades.
		This proof can be carried over without change to most any non-relativistic time-machine spacetime; it is the non-relativistic version of a theorem by Friedman, Papastamatiou and Simon, which says that for a free scalar field, quantum mechanical unitarity follows from the fact that the classical evolution preserves the Klein-Gordon inner product.
	antigravitypower.tripod.com /stirniman/stirniman16.html (2205 words)

	Technical - Striking a Ball - Energy and Momentum Conservation
		In real life the momentum of the mallet (as a whole) includes a contribution from the striker's arms and body, and the striker is forcing the mallet forward.
		It is assumed that no potential energy is involved and there is no rotation of the ball (leading to angular momentum and energy) at the moment of impact, i.e.
		Since kinetic energy and momentum must be conserved, solution c is invalid; u' must be greater or equal to v' (otherwise the striker's ball has somehow passed through the roqueted ball!) so solution b is also invalid.
	www.oxfordcroquet.com /tech/turner/index.asp (1138 words)

	A Practical Man's Proof of God - Does God Exist?
		A second proof is seen in the energy sources that fuel the cosmos.
		A third scientific proof that the atheist is wrong is seen in the second law of thermodynamics.
		All of our laws of conservation of angular momentum would have to be wrong, invalidating all of physics.
	www.doesgodexist.org /Phamplets/Mansproof.html (1620 words)

	4.1 Mechanics of weakly isolated horizons (Site not responding. Last check: 2007-10-13)
		In field theories, conserved quantities such as energy and angular momentum can be universally defined via a Hamiltonian framework: they are the numerical values of Hamiltonians generating canonical transformations corresponding to time translation and rotation symmetries.
		) is the expression of the horizon angular momentum.
		Note that, its dependence on the horizon area and angular momentum is the same as that in the Kerr space-time.
	www.univie.ac.at /EMIS/journals/LRG/Articles/lrr-2004-10/articlesu6.html (2304 words)

	Paradoxes Resolved, Origins Illuminated - Explanation of Paradox
		I don't know why angular momentum is conserved but it is observed and in most cases it is conserved.
		Jim, there is a mathematical proof that angular momentum must be conserved if the dynamical laws are invariant under spatial rotations.
		Actually, though, the angular momentum of the physical bodies need not be conserved if there are radiative fields that carry some of it away.
	www.metaresearch.org /msgboard/topic.asp?TOPIC_ID=660 (4053 words)

	Electromagnetic angular momentum, circularly polarized light, and Beth's
		Up to some constant factor which varies in every paper I read because there are too many systems of units for electromagnetism, the angular momentum is $\int_{all space} r x g d(volume)$, where $g = E x H$ is the field momentum (in some system of units, anyway).
		Anyhow, as far as I can tell, they nicely show that for finite wave packets, the angular momentum is transported at the border of the field...
		However, they don't seem to give any sort of proof of this, aside form their claim that a measurement in classical EandM has to give the same result as a quantum one.
	www.lns.cornell.edu /spr/2001-08/msg0035145.html (472 words)

	[No title]
		As a matter of fact, proof depends on a set of selected axioms.
		This said, one can't deny the simple elegance of the analytical proof of the Pythagorean Theorem.
		Gaining this insight is a sufficient justification for learning a proof that does not belong in a Geometry course.
	www.cut-the-knot.org /pythagoras/mech.shtml (1004 words)

	Torque - Questionz.net , answers to all your questions (Site not responding. Last check: 2007-10-13)
		Note that if the force is perpendicular to the displacement vector r, the moment arm will be equal to the distance to the centre, and torque will be a maximum.
		For multiple torques acting simultaneously: [\sum\boldsymbol{\tau} ={d\mathbf{L} \over dt}] where L is angular momentum.
		The measurement of torque is important in automotive engineering, being concerned with the transmission of power from the drive train to the wheels of a vehicle.
	www.questionz.net /Physics/Torque.html (624 words)

	Wave Momentum
		That said, I must admit that the only way I see a momentum flux to be associated with the traveling waves that may be moving down a stretched string is relativistic and is again associated with the motion of a bundle of energy down the string.
		Because the momentum is a signed quantity (or vector if you will) it is possible to show that the total momentum for the excitations of the string (assuming the endpoints are fixed) is zero.
		In particular, for a transverse wave on an inextensible string, there is necessarily a net transport of linear momentum equal to E/v (where E is purely kinetic since the string cannot stretch), as well as of angular momentum for a helical wave.
	www.nadn.navy.mil /Users/physics/mungan/Scholarship/WaveMomentum.html (6185 words)

Try your search on: Qwika (all wikis)