The Angular Momentum Principle - Revision history

Rhollman6: /* History */

2015-12-01T05:27:57Z

History

← Older revision		Revision as of 01:27, 1 December 2015
Line 84:		Line 84:

	In fact, Cajori's well-known "History of physics" (1929 edition) gives exactly half a line to angular momentum conservation. However, after the rise of the theory of quantum physics (Niels Bohr's atomic model (1913)) the conservation of angular momentum gained importance since angular momentum and quantum physics are thus clearly linked.		In fact, Cajori's well-known "History of physics" (1929 edition) gives exactly half a line to angular momentum conservation. However, after the rise of the theory of quantum physics (Niels Bohr's atomic model (1913)) the conservation of angular momentum gained importance since angular momentum and quantum physics are thus clearly linked.

			[[File:bohratommoel.gif]]

	== See also ==		== See also ==

Rhollman6: /* History */

2015-12-01T05:26:55Z

History

← Older revision		Revision as of 01:26, 1 December 2015
Line 82:		Line 82:

	"...a line whose length is proportional to the magnitude of the angular momentum, and whose direction is perpendicular to the plane of motion of the body and of the fixed point, and such, that when the motion of the body is viewed from the extremity of the line, the radius-vector of the body seems to have right-handed rotation."		"...a line whose length is proportional to the magnitude of the angular momentum, and whose direction is perpendicular to the plane of motion of the body and of the fixed point, and such, that when the motion of the body is viewed from the extremity of the line, the radius-vector of the body seems to have right-handed rotation."

			In fact, Cajori's well-known "History of physics" (1929 edition) gives exactly half a line to angular momentum conservation. However, after the rise of the theory of quantum physics (Niels Bohr's atomic model (1913)) the conservation of angular momentum gained importance since angular momentum and quantum physics are thus clearly linked.

	== See also ==		== See also ==

Rhollman6: /* History */

2015-12-01T05:20:15Z

History

← Older revision		Revision as of 01:20, 1 December 2015
Line 79:		Line 79:

	== History ==		== History ==
	~~Put this idea~~ in ~~historical context~~. ~~Give~~ the ~~reader~~ the ~~Who~~, ~~What~~, ~~When~~, ~~Where~~, and ~~Why~~.		Isaac Newton first mentions the angular momentum principle in his examples of the [https://en.wikipedia.org/wiki/Newton%27s_laws_of_motion link First Law of Motion] and his geometric proof of [https://en.wikipedia.org/wiki/Kepler%27s_laws_of_planetary_motion#Second_law Law of Areas] indirectly proves angular momentum conservation in the case of a central force. After Newton, Leonhard Euler, Daniel Bernoulli, and Patrick d'Arcy all understood angular momentum in terms of conservation of areal velocity, a result of their analysis of Kepler's Second Law of planetary motion. In 1736 Euler, like Newton, touched on some of the equations of angular momentum. Bernoulli wrote in a 1744 letter of a "moment of rotational motion", possibly the first conception of angular momentum as we now understand it. In 1799, Pierre-Simon Laplace first realized that a fixed plane was associated with rotation — his invariable plane. Louis Poinsot in 1803 began representing rotations as a line segment perpendicular to the rotation, and elaborated on the "conservation of moments". William J. M. Rankine's 1858 Manual of Applied Mechanics defined angular momentum in the modern sense for the first time:

			"...a line whose length is proportional to the magnitude of the angular momentum, and whose direction is perpendicular to the plane of motion of the body and of the fixed point, and such, that when the motion of the body is viewed from the extremity of the line, the radius-vector of the body seems to have right-handed rotation."

	== See also ==		== See also ==

Rhollman6: /* See also */

2015-12-01T05:11:54Z

Rhollman6: /* Further reading */

2015-12-01T05:08:18Z

Rhollman6: /* External links */

2015-12-01T05:02:46Z

External links

← Older revision		Revision as of 01:02, 1 December 2015
Line 95:		Line 95:

	http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qangm.html		http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qangm.html

			http://galileo.phys.virginia.edu/classes/252/Angular_Momentum/Angular_Momentum.html

	== References ==		== References ==

Rhollman6: /* Connectedness */

2015-12-01T05:01:57Z

Connectedness

← Older revision		Revision as of 01:01, 1 December 2015
Line 73:		Line 73:

	[[File:nucleus2.png]]		[[File:nucleus2.png]]

			Angular momentum also applies to biology through walking locomotion. In the paper by Herr and Popovic, it was found that angular momentum is highly regulated throughout the walking cycle about all three spatial directions. This paper found that whole-body angular momentum is small, despite substantial segmental momenta, indicating large segment-to-segment cancellations. Specifically, the paper show that adjacent leg-segment momenta are balanced in the medio-lateral direction (left foot momentum cancels right foot momentum, etc.). Further, pelvis and abdomen momenta are balanced by leg, chest and head momenta in the anterior–posterior direction, and leg momentum is balanced by upper-body momentum in the vertical direction.

	[[File:biology.png]]		[[File:biology.png]]

Rhollman6: /* Connectedness */

2015-12-01T04:57:39Z

Connectedness

← Older revision		Revision as of 00:57, 1 December 2015
Line 69:		Line 69:
	== Connectedness ==		== Connectedness ==
	The angular momentum principle not only applies to large scale systems like planets orbiting but also to electrons in atoms. The angular momentum principle is used to determine the quantization of electrons in an atom.		The angular momentum principle not only applies to large scale systems like planets orbiting but also to electrons in atoms. The angular momentum principle is used to determine the quantization of electrons in an atom.

			[[File:nucleus.png]]

			[[File:nucleus2.png]]

			[[File:biology.png]]

	== History ==		== History ==

Rhollman6: /* Connectedness */

2015-12-01T04:50:19Z

Connectedness

← Older revision		Revision as of 00:50, 1 December 2015
Line 68:		Line 68:

	== Connectedness ==		== Connectedness ==
	~~How is this topic connected~~ to ~~something that you are interested~~ in?		The angular momentum principle not only applies to large scale systems like planets orbiting but also to electrons in atoms. The angular momentum principle is used to determine the quantization of electrons in an atom.
	~~How~~ is ~~it connected~~ to ~~your major?~~
	~~Is there~~ an ~~interesting industrial application?~~

	== History ==		== History ==

Rhollman6: /* External links */

2015-12-01T04:45:17Z

External links

← Older revision		Revision as of 00:45, 1 December 2015
Line 82:		Line 82:

	== External links ==		== External links ==
	~~Internet resources on this topic~~		https://www.boundless.com/physics/textbooks/boundless-physics-textbook/rotational-kinematics-angular-momentum-and-energy-9/conservation-of-angular-momentum-86/conservation-of-angular-momentum-328-11269/

			https://en.wikipedia.org/wiki/Angular_momentum

			http://jeb.biologists.org/content/211/4/467

			http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/qangm.html

	== References ==		== References ==

← Older revision		Revision as of 01:11, 1 December 2015
Line 82:		Line 82:

	== See also ==		== See also ==
	~~Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?~~		[http:///www.physicsbook.gatech.edu/Torque Torque]

			[http://www.physicsbook.gatech.edu/Total_Angular_Momentum Total Angular Momentum]

	== Further reading ==		== Further reading ==

← Older revision		Revision as of 01:08, 1 December 2015
Line 85:		Line 85:

	== Further reading ==		== Further reading ==
	~~Books~~, ~~Articles or other print media on this topic~~		Elementary Theory of Angular Momentum by M.E. Rose (2011)

			Casey, James. “Applying the principle of angular momentum to constrained systems of point masses”. ''American Journal of Physics''. 82, 165–168 (2014).

			Williamson, J.C, R.O Torres-Isea and C.A. Kletzing. "Analyzing linear and angular momentum conservation in digital videos of puck collisions". ''American Journal of Physics''. 68, 841 (2000)

			Kuerti, G. "On the Derivation of the Principle of Angular Momentum about the Mass Center". ''American Journal of Physics''. 21, 469 (1953)

	== External links ==		== External links ==