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Topic: Point mass

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In the News (Sat 28 Nov 09)

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	gladwell dot com - the tipping point
		I mean, you can put a virus under a microscope and point to all the genes on its surface that are responsible for making it so dangerous.
		So just in that chapter there is a little bit of sociology, a little of psychology and a little bit of history, all in aid of explaining a very common but mysterious phenomenon that we deal with every day.
		The point is that by the end of the book I think the reader will have a clear idea of what starting an epidemic actually takes.
	www.gladwell.com /tippingpoint (1590 words)

	MEASURING LINEAR MOMENTUM ANGLES
		One approach is measuring the angle from the center point of maximum engagement to the center of mass of the vehicle at the position of final rest.
		CENTER OF MASS: The single point within a body that responds and is displaced in the same manner as a point mass would respond and be displaced when subjected to the same external forces.
		Point mass physics is used in accident reconstruction to describe the motion of vehicles.
	www.rec-tec.com /Lmangle.htm (1365 words)

	mass
		When the flexible dart is accelerated by the atlatl the point mass at the opposite end of the dart resists that acceleration and causes the dart to flex and compress, storing spring energy to be used for the launch.
		When point mass was increased to 11.5 grams or decreased to 7.5 grams overall distance decreased by 3 to 7 yards from a maximum of approximately 120 yards.
		In experiments conducted in hafting projectile points I have found that the glue, sinew bindings, and the surrounding wood of the notch itself add an average of one gram to the overall mass of the point.
	www.onagocag.com /mass.html (2896 words)

	Conservation of Mass
		The conservation of mass is a fundamental concept of physics along with the conservation of energy and the conservation of momentum.
		The mass of any object can be determined by multiplying the volume of the object by the density of the object.
		The conservation of mass equation also occurs in a differential form as part of the Navier-Stokes equations of fluid flow.
	www.grc.nasa.gov /WWW/K-12/airplane/mass.html (655 words)

	Tracker Help: Point Mass
		Point masses are the building blocks with which more complex and realistic models of physical systems are constructed in classical physics.
		A newly created point mass is given a default mass of 1.0 (arbitrary units).
		Toggle the vector visibility for all point masses by clicking the velocity or acceleration button on the track control.
	www.cabrillo.edu /~dbrown/tracker/help/pointmass.html (529 words)

	Point mass - Wikipedia, the free encyclopedia
		A point mass in physics is an idealization of a body whose dimensions are very small compared to the other distances which are relevant to the problem.
		For example, the gravitational field outside a spherically-symmetric body is the same as if the body were a point mass positioned at the center (with the same total mass, acting as a point source of gravitation).
		To calculate such point mass, an integration is carried out over the entire range of the random variable, on the probability distribution of the continuous part.
	en.wikipedia.org /wiki/Point_mass (203 words)

	Center of Mass (Site not responding. Last check: 2007-11-06)
		This point mass is located at the center of mass.
		The center of mass of a hula-hoop is at its center where there is no hoop, just hula.
		This equation is useful is determining the center of mass of objects like a cone.
	www.ac.wwu.edu /~vawter/PhysicsNet/Topics/Momentum/TheCenterOfMass.html (370 words)

	Uniform stationary motion
		Point P is still a point, of zero volume, only it has been subjected to the state of point mass (Fig 1).
		That action, whatever it may be, attracting or repelling, appears to be instantaneous despite the distance between the two point masses, ie, despite the lack of any intermediate agency for the action to be transmitted between the two point masses.
		The picture of two point masses interacting one another, seen from the APM side, now may be outlined as follows: PPM falls toward APM under attractive force until their proper distance is zero, then, when their proper distance is negative, PPM bounces back from APM under repulsive force, and so on.
	www.wbabin.net /giao/giao4.htm (2090 words)

	Faith Guides . Mass Class . Five Ways to Think About the Mass \| BustedHalo.com
		Mass is not often thought of as a celebration, particularly by the small children who are forced to go.
		Mass was originally a chance for early Christians to gather together, eat and drink, and support each other through the difficulty of living a Christian life.
		Mass is central because of community, because of its happening literally within the Church, and most importantly, because of the presence of the Body of Christ.
	www.bustedhalo.com /faith_guides/mass2.htm (964 words)

	BBC News \| TALKING POINT \| Mass tourism: Is it exploitation?
		In so far as our mass tourism is an escape from a responsibility to build workable, beautiful home environments we US citizens find so boring or harmful, we desperately desire to escape from them at any season of the year.
		Mass tourism to some parts of the world is very damaging - mass tourism to places like southern Spain and coastal resorts at home provides much needed local income during the holiday season.
		The thing to remember is that, if the mass tourists are on the beaches, the rest of the countries and their intricate cultures are free for more adventurous and considerate tourists to discover.
	news.bbc.co.uk /1/hi/talking_point/1468503.stm (5551 words)

	BBC News \| TALKING POINT \| Mass tourism: Is it exploitation?
		Mass tourism can reduce a culture, turn its heritage and traditions into commodities, and alter the personality and social character of a place.
		He may have a valid point, but fact is that most countries thrive on that so called exploitation, some even don't have a economy without tourism.
		The sun-seeking mass tourists are not going to develop a genuine interest in different cultures overnight, so if they are satisfied with the charades performed for their entertainment, let them.
	news.bbc.co.uk /1/hi/talking_point/1403092.stm (4079 words)

	Moment of Inertia
		If the mass is released from a horizontal orientation, it can be described either in terms of force and accleration with Newton's second law for linear motion, or as a pure rotation about the axis with Newton's second law for rotation.
		Calculating the moment of inertia of a rod about its center of mass is a good example of the need for calculus to deal with the properties of continuous mass distributions.
		When the mass element dm is expressed in terms of a length element dr along the rod and the sum taken over the entire length, the integral takes the form:
	hyperphysics.phy-astr.gsu.edu /hbase/mi2.html (409 words)

	Ideal String Struck by a Mass
		The connections of the mass impedance with the two semi-infinite string endpoint impedances are formally in series because they all move together; that is, the mass velocity equals the velocity of each of the two string endpoints connected to the mass.
		The mass is represented by an inductor of
		In particular, the heavier the mass, the slower the mass velocity decays to zero.
	ccrma-www.stanford.edu /~jos/book2000/Ideal_String_Struck_Mass.html (799 words)

	Beams, Bending, and Boundary Conditions: Centroids
		Suppose we have two particles of mass m1 and m2 at positions x1 and x2, and suppose that the particles are connected by a lightweight inflexible rod.
		The center of mass of an object is also the position at which the entire mass of the object could be concentrated, and still have the same "average motion" as the entire object does.
		As this example shows, the center of mass of an object does not need to be on the object, yet it still makes sense to say that the center of mass is the location where the center of mass would balance on your finger and be perfectly level.
	www.geom.uiuc.edu /~rminer/ictcm/plain/center.html (768 words)

	Me317 - Mass and Inertia Course Notes
		Mathematically the mass the center is given by the following volume integral.
		For a rigid body that is modeled as a point mass, the mass moment of inertia matrix of the body about a reference frame centered at the point is zero.
		be the masses of the aluminum block and the iron block respectively.
	oregonstate.edu /instruct/me317/costello/Me317_cn4.htm (443 words)

	The Tom Bearden Website (Site not responding. Last check: 2007-11-06)
		This point may be approximated as massless and chargeless.
		At least that is the way the geometers of old conceived it in the abstract, and so the idea of a "point" in space assumes it to be chargeless and massless.
		Fourth, there is a charged point, having no mass, and this is the advanced electrician's particle, which he uses to form the idea of potentials and fields.
	www.cheniere.org /books/part4/s10.htm (290 words)

	Gravity Anomaly Over a Buried Point Mass (Site not responding. Last check: 2007-11-06)
		where G is the gravitational constant, m is the mass of the point mass, and r is the distance between the point mass and our observation point.
		Notice, the acceleration is highest directly above the point mass and decreases as we move away from it.
		Although a point mass doesn't appear to be a geologically plausible density distribution, as we will show next, this simple expression for the gravitational acceleration forms the basis by which gravity anomalies over any more complicated density distribution within the earth can be computed.
	www.geo.ucalgary.ca /~maillol/goph365/Grav/pteq.html (468 words)

	Welcome to Mass Audubon!
		On October 21, nearly 200 people visited Mass Audubon’s newest acquisition in Groton.
		This year we celebrate the 100th anniversary of the birth of Rachel Carson—ecologist, writer, scientist, and activist.
		The additional property will expand Mass Audubon's Eagle Lake Wildlife Sanctuary to 332 acres.
	www.massaudubon.org (188 words)

	Motion of the Center-of-Mass (Site not responding. Last check: 2007-11-06)
		The center-of-mass (COM) is the single point on a structure which characterizes the motion of the object if the object shrinks to a point mass.
		This illustrates that the COM is the single point which characterizes the translational motion of the object.
		This again illustrates that the COM is the single point which characterizes the translational motion of the object.
	www.kettering.edu /~drussell/Demos/COM/com-a.html (398 words)

	Rotational Motion II (Site not responding. Last check: 2007-11-06)
		In figure 1 a point mass is tethered so as to move along a circular path.
		The mass is moving off along a tangent to the original circle.
		The two objects in figure 3 are identical except that in one the lower mass is concentrated at a single point while in the other it is divided between two points in order to approximate a continuous mass spread over space.
	www.pacifier.com /~bukara/3dm/rotation.htm (232 words)

	Centre of mass
		To be more exact, the coordinates of the centre of mass of an extended object are the mass weighted averages of the coordinates of the elements which make up that object.
		(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)

	Why the Space Elevator's Center of Mass is not at GEO
		At this point, some people are ready to consider that the center of mass of the cable-counterweight-anchor mass system has to be at GEO, rather than the one of the cable-counterweight system.
		Place one mass at a distance R+L from the center of the Earth, and the other at a distance R-L. Put them in a circular orbit with angular velocity w in such a way that the axis of the cable always goes through the center of the Earth.
		This is because the increase in gravity for the low mass is greater than the decrease for the high mass.
	www.mit.edu /people/gassend/spaceelevator/center-of-mass/index.html (570 words)

	Gravity Anomaly Over a Buried Point Mass (Site not responding. Last check: 2007-11-06)
		where z is the depth of burial of the point mass and x is the horizontal distance between the point mass and our observation point.
		Notice that the gravitational acceleration caused by the point mass is in the direction of the point mass; that is it's along the vector r.
		Although a point mass doesn't appear to be a geologically plausible dnesity distribution, as we will show next, this simple expression for the gravitational acceleration forms the basis by which gravity anomalies over any more complicated density distribution within the earth can be computed.
	gretchen.geo.rpi.edu /roecker/AppGeo96/lectures/gravity/pteq.html (441 words)

	SparkNotes: SAT Physics: Center of Mass
		We can make this simplification because there is always a point in the object or system that has the same trajectory as the object or system as a whole would have if all its mass were concentrated in that point.
		The center of mass of an object of uniform density is the body’s geometric center.
		For example, the center of mass of a donut is in the center of its hole.
	www.sparknotes.com /testprep/books/sat2/physics/chapter9section5.rhtml (1143 words)

	Thermal Mass
		Mass flow rate and totalized flow, as well as other configuration variables, are displayed on the meter's 2 x 12 back-lit LCD panel.
		The instrument electronics provide a unique feature not available in any other thermal mass flow meter: a means to confirm or "field-validate" that the flowmeter's primary sensing elements have not drifted or shifted from their original calibration.
		The thermal mass flow meter incorporates a unique dual-plate flow conditioner to eliminate velocity profile distortions as well as swirl and temperature stratification in the gas stream.
	www.processcontrolscorp.com /thermal.htm (1162 words)

	Troemner Calibration Services - Thermal Mass Flow
		The Thermal Mass Flow Calibration Laboratory is ISO/IEC 17025 compliant.
		Laboratory mass flow measurement accuracy is as low as +/- 0.2% of reading from 2 sccm to 100 slpm @ 1500 psi inlet pressure for Nitrogen and Helium (up to 240 slpm at 1,500 psi inlet pressure for Hydrogen).
		Troemner's Mass Flow technicians are trained by several manufacturers and can repair and calibrate most brands of gas mass flow meter/flow controllers.
	www.troemner.com /cal_thermal.htm (856 words)

	JCE 2004 (81) 642 [May] Boiling Point versus Mass
		However, a molecule escaping from a liquid is not closely analogous to “a satellite breaking free from the earth’s gravitational field” with the requirement of “a minimum escape velocity”, such that the required kinetic energy is proportional to the mass of the satellite at that escape velocity.
		The difference is that all of the mass of the satellite is acted upon by the restraining force (or curved space–time) of gravity, while the mass of the boiling molecule is practically irrelevant to the crucial van der Waals, London, or mutual-polarization forces in the liquid.
		Thus germanium tetrachloride, hexafluorobenzene, pentacarbonylruthenium, and tetrapropyltin do not boil at appreciably higher temperatures than carbon tetrachloride, benzene, pentacarbonyliron, or tetrapropylmethane, respectively, where, in most cases, the additional potentially polarizing and polarizable electrons of the heavier molecules are buried in the center.
	jchemed.chem.wisc.edu:8000 /Journal/Issues/2004/May/abs642_1.html (354 words)

	6th Order Point Mass (Coordinated Flight) :: Blocks (Aerospace Blockset)
		The 6th Order Point Mass (Coordinated Flight) block performs the calculations for the translational motion of a single point mass or multiple point masses.
		The scalar or vector containing initial flight path angle of the point mass(es).
		The scalar or vector containing mass of the point mass(es).
	www.mathworks.com /access/helpdesk/help/toolbox/aeroblks/6thorderpointmasscoordinatedflight.html (317 words)

	Singularities of the One- and Two-point Mass Gravitational Lens -- from Mathematica Information Center
		A detailed study of when a change in the number of caustics and cusps occurs for one- and two-point mass gravitational lens lying on a single plane with continuously distributed matter and an external shear are presented herein.
		The equations for the positions of the cusps generated by such lens systems are investigated in detail.
		This method is based on a new approach using complex quantities and applies recent results on cusp counting.
	library.wolfram.com /infocenter/Articles/3372 (96 words)

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