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Topic: List of moments of inertia


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In the News (Mon 22 Dec 14)

  
 PlanetPhysics: moment of inertia   (Site not responding. Last check: 2007-10-11)
The moment of inertia of a body about an axis equals the sum of the products of the masses of the particles of the body by the square of their distances from the axis.
Theorem I. The moment of inertia of a lamina about an axis which is perpendicular to its plane equals the sum of the moments of inertia with respect to two rectangular axes which lie in the plane of the lamina with their origin on the first axis.
This is version 4 of moment of inertia, born on 2006-07-10, modified 2006-07-10.
planetphysics.org /encyclopedia/MomentOfInertia.html   (397 words)

  
 PlanetPhysics: inertia tensor   (Site not responding. Last check: 2007-10-11)
Another simple case is for the moment of inertia of a solid cylinder.
Cross-references: mass, moment of inertia of a solid cylinder, moment of inertia of a Solid Sphere
This is version 7 of inertia tensor, born on 2006-03-28, modified 2006-03-28.
planetphysics.org /encyclopedia/InertiaTensor.html   (410 words)

  
 Moment of inertia - Wikipedia, the free encyclopedia
The moment of inertia can also be called the mass moment of inertia (especially by mechanical engineers) to avoid confusion with the second moment of area, which is sometimes called the moment of inertia (especially by structural engineers) and denoted by the same symbol I.
In addition, the moment of inertia should not be confused the polar moment of inertia, which is a measure of an object's ability to resist torsion, or "bendiness".
If the moment of inertia has been calculated for rotations about the centroid of a rigid body, we can conveniently recalculate the moment of inertia for all parallel rotation axes as well, without having to resort to the formal definition.
en.wikipedia.org /wiki/Moment_of_inertia   (1450 words)

  
 Reference.com/Encyclopedia/Moment of inertia
If the moment of inertia has been calculated for rotations about the centroid of a rigid body, we can conveniently recalculate the moment of inertia for all parallel rotations as well, without having to resort to the formal definition.
The moment of inertia tensor is a convenient way to summarize all moments of inertia of an object with one quantity.
If the moment of inertia tensor has been calculated for rotations about the centroid of the rigid body, there is a useful labor-saving method to compute the tensor for rotations offset from the centroid.
www.reference.com /browse/wiki/Moment_of_inertia   (1576 words)

  
 Moment of inertia   (Site not responding. Last check: 2007-10-11)
Rotational versions of Newtons laws of motion and the formulas for momentum and kinetic energy, use the moment of inertia of an object (with torque, angular velocity and angular acceleration replacing force, velocity and acceleration, respectively).
Bending stress within a beam (structure) depends upon the moment of inertia of the cross-sectional area of the beam.
This area moment of inertia is derived by replacing the term for mass, m, in the above formula, with a term for area, A, and integrating over two-dimensional space.
read-and-go.hopto.org /Mechanics/Moment-of-inertia.html   (460 words)

  
 Second moment of area - tScholars.com (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-10-11)
The second moment of area, also known as the second moment of inertia and the area moment of inertia, is a property of a shape that is used to predict its resistance to bending and deflection.
The second moment of area is not the same thing as the moment of inertia, which is used to calculate angular acceleration.
See List of second moments of area for other shapes.
www.tscholars.com.cob-web.org:8888 /encyclopedia/Second_moment_of_area   (359 words)

  
 What is Inertia
Inertia is not an inherrent, quantifiable property of an object, it's an effect, like the Doppler effect.
It can have more kinetic energy, or momentum, or mass, or velocity, or indeed "moment" of inertia than another object since those are measurable, quantifiable properties.
Moment of inertia is only equal to m * r^2 for a "point-mass".
www.ptg.org /pipermail/caut/2003-December/010509.html   (539 words)

  
 [4.0] Rotational Motion
In simple terms, the moment of inertia of the entire object is the sum of the moments of inertia of its components.
Calculating moments of inertia for other objects generally requires more math than is appropriate in this document, but a short list of the moments of inertia of a few different objects of mass M will help give a better feel for the concept.
This is because the hollow cylinder has a greater moment of inertia, and its angular acceleration is lower for a given force.
www.vectorsite.net /tpecp_04.html   (7426 words)

  
 Formulas for Physics   (Site not responding. Last check: 2007-10-11)
In that case it is clear from the second law that the moment of inertia of the system is the sum of the individual moments of inertia.
If the system is a solid object, the moment of inertia may be calculated as an integral over the object's volume, as shown.
The simple expression in which the moment of inertia is a sum of scalar quantities applies to a limited set of situations: The position vectors and the force vectors on each of the particles must all lie in the same plane.
members.aol.com /jwdooley/eqns/ROTDYN/MOMINRT/MOMINRT.HTM   (154 words)

  
 Formulas for Physics   (Site not responding. Last check: 2007-10-11)
The figure shows expressions for moment of inertia when the axis of rotation is through the center of mass of the object.
For the cylinder, two different axes through the center of mass are considered: An axis along the central axis of the cylinder, and an axis perpendicular to the central axis of the cylinder.
If the moment of inertia for an axis through the center of mass is known, then the Parallel Axis Theorem allows calculation of the moment of inertia for any other axis which is parallel to the first.
members.aol.com /jwdooley/eqns/ROTDYN/XMPINRT/XMPINRT.HTM   (131 words)

  
 CG, CM, and moments of inertia
The significance of the center of gravity (CG) is that it describes the average point of application of the inertia (F=MA) forces.
Remember that the center of gravity is defined as the center of application of inertia (or gravity) forces, and since in simple cases they coincide, they are commonly (but incorrectly?) used synonymously.
For a flexible body in motion, the center of mass and the center of inertia forces (aka center of gravity) do not always coincide when the body is subjected to an acceleration field that varies in space.
www.ketchum.org /cgcm.shtml   (2586 words)

  
 Machine Design article on stiffness vs strength
All he needed was good engineering discipline and a list of the moments of inertia for each deck.
For structures analysts, the two most important properties relating to stiffness are Young's modulus and moment of inertia, also known as material stiffness and geometric stiffness, respectively.
This is because the moment of inertia, or geometric stiffness, is higher for a hollow cylinder than for a solid cylinder of the same area.
www.erareplicas.com /misc/stress/machdes.htm   (819 words)

  
 List of moments of inertia - Wikipedia, the free encyclopedia
The following is a list of moments of inertia and area moments of inertia (also known as the second moment of area).
Moments of inertia have units of dimension mass × length
It has been suggested that this section be split into a new article entitled List of area moments of inertia.
en.wikipedia.org /wiki/List_of_moments_of_inertia   (591 words)

  
 Guitar Nine Records - "Inertia" Review Featured In Inside Out Music America,
One could look at Inertia, however, as a shootout between Sherinian and drum legend Simon Phillips, both featured prominently, both bringing a level of technological acumen to the proceedings that is rare amongst players that are typecast as masters of their instruments.
But before all that happens, one is confronted with 'Inertia', the title track to the album, a resplendent display of angular, melodically complex chops from all corners of the room (The Leopard Room that is, Derek's high-end home studio up in the Hollywood Hills).
Ultimately, Inertia's sustaining lifeblood is in its versatility, although quiet and uproarious moments alike are attacked with a joie de vivre which one senses is embedded in the L.A. mentality of the album's collaborators and indeed, the setting of its assemblage, a pair of formidably wired home studios in sunny California.
www.guitar9.com /inertiarev3.html   (1311 words)

  
 CCCBDB Calculated product of the moments of inertia
The moment of inertia is a measure of how much torque it takes to spin the molecule.
The product of the three moments of inertia is used in the calculation of the molecular Entropy.
This comparison of products of moments of inertia illustrates how well a given method/basis set performs at reproducing the experimental geometry.
srdata.nist.gov /cccbdb/momint1.asp   (231 words)

  
 Moment of inertia (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-10-11)
The moment of inertia can be used to describe the amount of angular momentum a rigid body possesses, via the relation: :
The definition of the moment of inertia tensor is very similiar to that above, except that it is now expressed as a matrix: :
It is notable that even with the moment of inertia being expressed as a tensor, it is always possible to diagonalize the tensor to find the principle axes of the rigid body, those which satisfy the eigenvalue problem: :
moment-of-inertia.kiwiki.homeip.net.cob-web.org:8888   (648 words)

  
 CCCBDB calcdata
List showing how many calculations are done by method/basis set.
List showing how many calculations are done by molecule.
List of molecules sorted by size, as determined by
srdata.nist.gov /cccbdb/Calcdata.asp   (86 words)

  
 Mechanics - List Of Demonstrations   (Site not responding. Last check: 2007-10-11)
- Illustrates the dependence of angular acceleration on the moment of inertia.
Demonstration is most effective if a student is asked to oscillate the blue (higher moment of inertia) baton in time with the demonstrator's oscillation of the red baton.
If the batons are mounted on the handle, separated by the spacer, and started rotating together, the red baton will slow down first because the greater moment of inertia of the blue baton is not affected as much by friction.
info.phys.uvic.ca /dbr/resman/mechanics.html   (2052 words)

  
 Calculus 3 Sites
Centroids and Moment of Inertia -- A helpful discussion on this topic with ample pictures and examples.
Moment of Inertia Calculator -- An interactive site allowing you to click a figure with your mouse to choose a horizontal axis about which the object will be rotated.
Then the computer returns the moment of inertia of the object about that axis.
amath.colorado.edu /courses/2350/All/Web/calc3site.html   (1244 words)

  
 METAL BUILDING Site Metal Buildings (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-10-11)
Moment: The tendency of a force to cause rotation about a point or axis.
Moment Connection: A connection designed to transfer moment as well as axial and shear forces between connecting members.
Moment of Inertia: A physical property of a member, which helps define strength and deflection characteristics.
www.themetalbuildingsite.net.cob-web.org:8888 /Consumers/steel_glossary.htm   (6787 words)

  
 Quoteland :: Search
Condemned, because he did not create himself, yet is nevertheless at liberty, and from the moment that he is thrown into this world he is responsible for everything he does.
The adherents of the old order have a powerful ally in the natural law of inertia inherent in humanity which is, as it were, a natural defense against change.
The question of whether violence or law shall prevail between states is the most vital of the problems of our eventful era, and the most serious in its repercussions.
www.quoteland.com /search.asp?query=list   (6273 words)

  
 A TIMELINE OF UNCONVENTIONAL MOMENTS IN U.S. HISTORY.   (Site not responding. Last check: 2007-10-11)
What really is unique in this era of stage-managed conventions is the obsessive search for the "defining moment" -- the crack in the façade, the moment when one of the actors forgets his lines and has to improvise.
If the moment happens to square with a pre-existing image within the meta-narrative (i.e., Bush is a dolt, Kerry is a toff) so much the better.
Goofs, missteps, flashes of anger, unscripted embarrassments -- all of these qualify as the prized "defining moments" that have the power to turn elections and influence world history.
www.blacktable.com /zoellner040831.htm   (966 words)

  
 Mechanical engineering other topics - Calculating Inertia of object
The motor inertia you quote is what is known as the "moment of inertia" and is derived from summation of (m x r^2)for a rotation of a fixed body.
The Inertia seen to the motor is reduced by the square of the ratio.
What is described in that reply is not the moment of inertia, but a moment (torque) exerted by a particle.
www.eng-tips.com /viewthread.cfm?qid=41750   (684 words)

  
 namd-l: moments of inertia, principal axes (via CobWeb/3.1 planetlab2.tamu.edu)   (Site not responding. Last check: 2007-10-11)
Reply: Giovanni Bellesia: "Re: moments of inertia, principal axes"
Reply: \: "Re: moments of inertia, principal axes"
Has anyone calculated the moments of inertia and/or the principal axes and can say
www.ks.uiuc.edu.cob-web.org:8888 /Research/namd/mailing_list/namd-l/2718.html   (221 words)

  
 Moments of Inertia - ticalc.org
Ranked as 22238 on our all-time top downloads list with 1171 downloads.
Ranked as 11099 on our top downloads list for the past seven days with 2 downloads.
A little program that calculates the moment of inertia of the most common beam sections...
www.ticalc.org /archives/files/fileinfo/187/18726.html   (188 words)

  
 GolfDigest.com - The Golf Digest Hot List   (Site not responding. Last check: 2007-10-11)
It's a list you'll want to put on the refrigerator, so on holidays and birthdays you'll be able to avoid another golf ball-themed tie or the engraved combo divot tool and ball retriever.
Instead, what we are offering is a list of clubs and balls that at the very least you should try right now.
Fortunately, at our disposal is the impartial expertise of Thomas, who served as a nonvoting member of the committee but made sure we didn't get our centers of gravity confused with our moments of inertia.
www.golfdigest.com /equipment/index.ssf?/equipment/gd200402hotlist.html   (1232 words)

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