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Topic: Centre of mass

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	The Visual Localization of the Centre of Triangles in Young Children and Adults
		Second, the perceptual centre of the equilateral triangle was shifted toward the vertex that opposed the horizontal edge of the triangle for children and adults alike.
		For adults and children alike, the ellipses are centreed approximately at mid-distance between the centre of mass and the centre of the inscribed circle as in Baud-Bovy and Soechting (2001).
		In addition, the magnitude of the shape-effect (distance from the centre of mass) was, on average, slightly larger for children than for adults (4.8 vs 3.4 mm) and represented about 3-4% of the basis of the triangles in the standard orientation (125 mm).
	cpl.revues.org /document430.html (3750 words)

	PlanetPhysics: centre of mass
		The centre of mass of an object is a point in space where, for many purposes, the mass of the object may be assumed to be concentrated.
		The centre of mass can be used in many other ways to simplify a complicated system by treating it as a point particle.
		This is version 1 of centre of mass, born on 2005-08-31.
	planetphysics.org /encyclopedia/CentreOfMass.html (227 words)

	CENTRE OF MASS
		Centre of mass of a square is at the point of intersection of its diagonals.
		Centre of mass of a sphere is at its centre.
		are the coordinates of the centre of mass.
	www.citycollegiate.com /centre_of_mass.htm (426 words)

	PlanetMath: centre of mass
		The term centre of gravity is sometimes used loosely as a synonym for the centre of mass, but these are distinct concepts; the centre of gravity is supposed to be a single point on which the force of gravity can be considered to act upon.
		For example, it is intuitively obvious that the centre of mass of a disk
		This is version 9 of centre of mass, born on 2005-08-15, modified 2005-08-31.
	planetmath.org /encyclopedia/CentreOfMass.html (377 words)

	Repeatability of Centre of Mass position (Site not responding. Last check: 2007-09-29)
		Colour-coded plots of the position of the centre of mass of the dispersing patch are shown for each repeat in figure 7.16.
		For the first 3 seconds after breaking, the position of the centres of mass are dominated by the passing crests and troughs.
		For a period thereafter, which varies between repeats, the trajectory followed by the centres of mass is approximately linear.
	www.ph.ed.ac.uk /~ted/thesis/node94.html (85 words)

	Summary of Part 1 – Centre of Mass and its Motion
		One property that is important to understanding the motion of this system is the position and motion of its centre of mass.
		{The total mass of the system times the position vector of the centre of mass (i.e the vector from the origin of the coordinate system to the position of the centre of mass) equals the sum of [each particle’s mass times its position vector]}
		In conclusion the point representing the centre of mass of a system of particles moves as if it were a single particle of mass equal to the total mass of the system, acted on (only) by any external forces.
	www.sussex.ac.uk /Units/physics/teaching/rcs/S_O_P/Summary_1.html (286 words)

	Centre of Mass : Equilibrium: Plus 2 Physics (Site not responding. Last check: 2007-09-29)
		In most of the earlier chapters the mass of an extended body has been considered as concentrated at one point instead of distributed over a region.
		For every extended body there exists such a point at which its entire mass may be considered concentrated without changing the motion of the system.
		This point is called the centre of mass of the body.
	www.plus2physics.com /equilibrium/equilibrium.asp?topic=4 (114 words)

	Centre of Gravity (Site not responding. Last check: 2007-09-29)
		The centre of mass (/gravity) of a body or a system of particles is the resultant of the weights of the individual particles making up the body or system.
		For example, the centre of mass of a circular lamina is at the centre of the circle, since the centre of mass is on each axis of symmetry and they all meet at the centre.
		When the centre of mass of a body cannot be found using the axis/axes of symmetry, it can be found by calculus.
	www.mathsa.fsnet.co.uk /Centre%20of%20Gravity.htm (721 words)

	Centre of mass
		The centre of mass--or centre of gravity--of an extended object is defined in much the same manner as we earlier defined the centre of mass of a set of mutually interacting point mass objects--see Sect.
		(328), the centre of mass of a body of uniform density is located at the geometric centre of that body.
		For instance, the geometric centre of a cube is the point of intersection of the cube's diagonals.
	farside.ph.utexas.edu /teaching/301/lectures/node102.html (462 words)

	centre of mass
		Point in or near an object at which the whole mass of the object may be considered to be concentrated.
		A symmetrical homogeneous object such as a sphere or cube has its centre of mass at its geometrical centre; a hollow object (such as a cup) may have its centre of mass in space inside the hollow.
		For an object to be in stable equilibrium, a vertical line down through its centre of mass must run within the boundaries of its base; if tilted until this line falls outside the base, the object becomes unstable and topples over.
	www.tiscali.co.uk /reference/encyclopaedia/hutchinson/m0016587.html (151 words)

	Centre of Mass ELTN1115 (Site not responding. Last check: 2007-09-29)
		The objective of this lab is to determine the Centre of Gravity (Cof G) of several irregularly shaped Lamina (flat objects).
		Measure the shortest distance from each axis to the centre of gravity to obtain the x-y coordinates of the centre of gravity.
		Compare the positions of the centre of gravity of the lamina found in steps 4 and 5 of the procedure to the positions found by calculation (find absolute difference -- note that the percentage difference is not meaningful when speaking of position but it is if we speak of length or displacement -- Why?).
	www.kwantlen.bc.ca /~danp/eltn115/CentreOfMass.html (335 words)

	Flight
		In general, centre of mass depends upon the composition and structure of an object, whereas, centre of pressure depends only on the shape of the object.
		If the centre of mass of a body is at or near its centre of pressure, the body will be in a metastable state when moving through a fluid (gas or liquid).
		The centre of pressure lies on a line, usually through the wing along which the force due to air pressure acting on area C, which tends to lift the aircraft's nose upwards is exactly balanced by the force due to air pressure acting on area D which tends to lift the aircraft's tail upwards.
	resources.yesican-science.ca /100_years/unit1_flight1g06.html (717 words)

	BBC - KS3 Bitesize - SOS Teacher Science physics Centre of mass and stability
		The centre of mass, is also known as the centre of gravity.
		The centre of mass, or centre of gravity, can be understood by thinking of it this way – it is the point on which the object will be able to balance.
		For example, the centre of gravity of a Polo mint – the one with the hole – will be in the middle of the mint – in the centre of the hole.
	www.bbc.co.uk /schools/ks3bitesize/sosteacher/science/45080.shtml (329 words)

	Centre of Mass (Site not responding. Last check: 2007-09-29)
		The centre of mass of a three dimensional body is the point at which all first-order moments are at equilibrium.
		The centre of mass of the film will therefore be located near to the plane of the middle of the tank, where the lightsheet is situated.
		This biases the position of the centre of mass towards lower concentrations, but is only significant around the breaking event, and not for long term dispersion.
	www.ph.ed.ac.uk /~ted/thesis/node70.html (188 words)

	sciforums.com - The Death of the Centre of Mass Theorem
		According to the CMT, the mass acts as if it were concentrated at the centre and the distance will be measured centre to centre for purposes of using Newton's Gmm/d^2 formula.
		It should be clear that although the Centre of Mass theorem is an approximation that works when the sphere is negligible in size relative to distance, it will diverge arbitrarily depending upon how we want to chop an object up and sum its components.
		It would surely be worthwhile to quantify the error in the Centre of Mass theorem for a variety of purposes, one being to enable scientists to accurately judge when it can be used, and what margin of error is introduced by using it.
	www.sciforums.com /showthread.php?t=47080 (4493 words)

	Challenging Puzzles : Two concentric rings of uniform density at every point Are placed on a flat surface. Now since ...
		Now since the centre of mass of a uniform Ring is its geometrical centre, the distance between the centers of Mass of the two rings are zero.
		centre of mass is a hypothetical point of concentration of mass with no actual mass there...or the concept of unstable equilibrium may be applied..
		And comming to the nxt, the effective distance is considered b/w the 2 bodies.
	www.geekinterview.com /question_details/4178 (264 words)

	Pendular energy transduction within the step in human walking -- Cavagna et al. 205 (21): 3413 -- Journal of ...
		during the descent of the centre of mass.
		Simulation of the transduction between kinetic and potential energy of the centre of mass when the maximum in kinetic energy is set to lag behind the minimum in potential energy by a value of
		being reduced to zero and in an increase in the instantaneous recovery of mechanical energy r(t) during the descent of the centre of mass to a level equal to that attained during the lift.
	jeb.biologists.org /cgi/content/full/205/21/3413 (4976 words)

	Finding the centre of mass of a piece of paper (Site not responding. Last check: 2007-09-29)
		The point of intersection of the two drawn lines is the centre of mass of the paper.
		the mass of the first is ab x density r, and the second is cdr.
		then the centre of mass of each separate rectangle will be 1/2 (a,b) and 1/2 (c,d) in the middle.
	www.thestudentroom.co.uk /t42896.html (427 words)

	Centre of Mass ELTN1115 (Site not responding. Last check: 2007-09-29)
		The objective of this lab is to determine the Centre of Gravity (C of G) of several irregularly shaped Lamina (flat objects).
		The experimental C of G of a lamina can be determined by finding the intersection of two plumb lines from a suspended lamina.
		Compare the positions of the centre of gravity of the lamina found in procedure steps 4 and 5 to those found in calculation step 1 (find absolute discrepancy -- note that the percentage difference is not meaningful when speaking of position but it is if we speak of length or displacement -- Why?).
	www.kwantlen.bc.ca /electronics/eltn1115/edata/labs/CentreOfMass.html (336 words)

	Antiderivatives / Moments - 1 (Site not responding. Last check: 2007-09-29)
		The moments of the masses with respect to the x-axis is
		The center of mass of the system is
		The moments of the masses with respect to the y-axis is
	archives.math.utk.edu /visual.calculus/5/work.2 (131 words)

	Binary Stars (Site not responding. Last check: 2007-09-29)
		The binary nature of the system is deduced from the periodic doppler shifts of the wavelengths of lines seen in the spectrum, as the stars move through their orbits around the center of mass.
		The only way that we can determine the masses of stars is to study the orbital motions of binary stars.
		Application of the laws of celestial mechanics allows us to calculate the masses of the stars from measures of their orbital periods, sizes and velocities.
	astrosun.tn.cornell.edu /courses/astro201/binstar.htm (307 words)

	Centre for Mass Education in Science, CMES (Site not responding. Last check: 2007-09-29)
		Centre for Mass Education in Science (CMES) is a national NGO created in 1978 with an aim to take science and technology to the disadvantaged people as a support to their development.
		RTC in particular, is the main education-resource centre; the technology (learning, practice and production) centre, and the management centre for BSS at the Unit level.
		In each unit there is an establishment of Rural Technology Centre houses and campus and ABS houses and campus (3), all in our own land donated by the local community totaling about 2 Hectare.
	www.plusbangla.com /cmes.htm (2276 words)

	Motion of Centre of Mass (Site not responding. Last check: 2007-09-29)
		Applet shows the motion of the centre of mass of a dumbbel shaped object.
		The red and blue dots represent two masses and they are connected by a massless rod.
		The mass ratio slider allows shifting of centre of mass.
	surendranath.tripod.com /Applets/Dynamics/CM/CMApplet.html (119 words)

	The Emory University Mass Spectrometry Center
		The JEOL is a five-sector tandem mass spectrometer.
		The JEOL provides many unique capabilities such as multiple dimensional mass spectrometry, which may be used for structure elucidation.
		ESI is also commonly used for high mass compounds (up to 50,000 daltons).
	userwww.service.emory.edu /~fstrobe/eumsc.html (391 words)

	Hybrid NamPost centre revolutionalises mass mailing (Site not responding. Last check: 2007-09-29)
		The hybrid centre will carry out the task by printing the forms there as well as the franked envelopes complete with dated stamp and company logo.
		For the sake of reliability, the hybrid centre will be able to report back to clients in case an error occurred, detailing exactly what was handled, how it was handled and where the consignment is destined.
		The Hybrid Mail Centre was launched on 8 October as part of NamPost’s mail management solutions for the shortest possible business process and to speed up the delivery of mail and improve accuracy.
	www.economist.com.na /2004/29oct/10-29-28.htm (322 words)

	Village of Newton Centre, Mass.
		The largest of the villages, Newton Centre includes the Green, which hosts the Sunday Evening Ethnic Festivals throughout the summer.
		The Newton Centre Playground is the site of the summer Wednesday Afternoon Children's Performances.
		The U.S. Library of Congress website has an interactive version of a 1897 map of Newton Centre that was published in 1897.
	www.newtoncitizens.com /vill_nc.shtml (88 words)

	IUED - Société de l'information et coopération internationale: development.com
		Centre for Mass Communication Research, University of Leicester
		The Centre for Mass Communication Research (CMCR) is a part of the University of Leicester's Faculty of Social Sciences and is one of the UK's leading centres for research and teaching in media and communications.
		The aim is to provide a supportive and stimulating learning environment in which UK and international students at all levels can engage in debates on the local, national and global nature of contemporary mass media.
	www.unige.ch /iued/wsis/DEVDOT/05392.HTM (87 words)

	Physics - Dynamics - Rotation - Martin Baker (Site not responding. Last check: 2007-09-29)
		A torque applied about some point on the object other than the centre of mass (but still along a principle moment of inertia).
		In other words, a linear force applied to some point on the object other than the centre of mass will be equivalent to some force on the centre-of-mass plus some torque about the centre of mass.
		The velocities of the masses change continuously; only their accelerations change discontinuously, due to the discontinuous change in the force.
	www.euclideanspace.com /physics/dynamics/rotation (2275 words)

	Horizontal machining centre for mass production: News from NCMT
		A new, high-speed, horizontal machining centre built by Okuma, Japan, has been introduced to the UK by NCMT for efficient prismatic metalcutting in large volume production.
		A new, high-speed, horizontal machining centre built by Okuma, Japan, has been introduced to the UK by NCMT for efficient prismatic metalcutting in large volume production environments.
		Weighing eight tonnes and occupying a floor area of a little over 1.5 metres by 3.5 metres, the MT-40H is a robust, compact machine which is offered with 3-axis gantry-type component load / unload equipment able to serve one machining centre or several interlinked machines.
	www.engineeringtalk.com /news/ncm/ncm109.html (443 words)

	Boston.com / News / Local / Mass. / Worcester Centrum Centre to be renamed DCU Center (Site not responding. Last check: 2007-09-29)
		Worcester Centrum Centre to be renamed DCU Center
		Worcester's Centrum Centre is being renamed the DCU Center in a $5.2 million, 10-year naming rights deal announced Wednesday by Digital Federal Credit Union and the city.
		The arena has been known as Worcester's Centrum Centre since September 1997, when it was renamed following the convention center's opening.
	www.boston.com /news/local/massachusetts/articles/2004/10/06/worcester_centrum_centre_to_be_renamed_dcu_center_1097104466 (256 words)

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