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Topic: Moment of inertia


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In the News (Tue 16 Jul 19)

  
  Moment of Inertia
Moment of inertia is a measurement of the 'rotatibility' of an object.
The moment of inertia of mass around an axis of rotation (assuming an infinitely stiff connection) is the mass multiplied by the square of the distance to the rotation axis.
The additional moment of inertia generated by a stabilizer depends on three factors: mass, distance of mass to the bow rotation axis and the stiffness of the stabilizer rod.
homepage.ntlworld.com /joetapley/Moment_of_Inertia.htm   (0 words)

  
  NationMaster - Encyclopedia: Moment of inertia
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.
Moment of inertia is a measurement of the 'rotatibility' of an object.
The moment of inertia of mass around an axis of rotation (assuming an infinitely stiff connection) is the mass multiplied by the square of the distance to the rotation axis.
www.nationmaster.com /encyclopedia/Moment-of-inertia   (2632 words)

  
 Moment of Inertia
Moment of inertia is the name given to rotational inertia, the rotational analog of mass for linear motion.
The moment of inertia must be specified with respect to a chosen axis of rotation.
Moment of inertia is defined with respect to a specific rotation axis.
hyperphysics.phy-astr.gsu.edu /hbase/mi.html   (419 words)

  
 AcademicDB - Physics University Essays, Coursework and Dissertations
Determination of moment of inertia of a uniform rectangular bar and a connecting rod using the trifilar suspension, and by swinging the connecting rod as a compound pendulum.
Introduction : Moment of Inertia can be described as a measure of "unwillingness to change the current motion" of a certain body of mass.
By using the equation 1 the moment of inertia of...
www.academicdb.com /Physics   (0 words)

  
 Moment of Inertia@Everything2.com
In general, however, the moment of intertia is dependant on the concentration of mass a distance from the axis of rotation.
The moment of inertia is to rotational motion what mass is to linear motion, but rotational motion adds a bit more complexity to the situation.
Analogously, the moment of inertia relates the angular velocity of a rigid object to its angular momentum, and it tells you how much torque is required to change the rotational motion.
www.everything2.com /index.pl?node=moment%20of%20inertia   (1380 words)

  
 PlanetPhysics: moment of inertia   (Site not responding. Last check: )
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)

  
 Kids.Net.Au - Encyclopedia > Moment of inertia   (Site not responding. Last check: )
Moment of inertia is rotational inertia, i.e., moment of inertia is to rotational motion as mass is to linear motion.
The moment of inertia for an object depends on its shape and distribution of mass within that shape: the more the mass is on the outside with respect to the axis of rotation, the larger the moment of inertia.
The moment of inertia is often represented by the letter I. For an bunch of infinitely small particles with mass m_n, and distance r_n from one particular axis, the moment of inertia for that bunch of particles around that axis will be:
www.kids.net.au /encyclopedia-wiki/mo/Moment_of_inertia   (234 words)

  
 PlanetPhysics: moment of inertia of a circular disk   (Site not responding. Last check: )
The moment of inertia about the element is obtained easily by the help of theorem II.
"moment of inertia of a circular disk" is owned by bloftin.
This is version 3 of moment of inertia of a circular disk, born on 2006-07-11, modified 2006-07-11.
planetphysics.org /encyclopedia/MomentOfInertiaOfACircularDisk.html   (181 words)

  
 Moment of Inertia
The moment of inertia of a body is not only related to its mass but also the distribution of the mass throughout the body.
Thus, it would be more accurate to say that the moment of inertia of a rigid body reflects the mass distribution within the body with respect to the axis of rotation.
is called the ellipsoid of inertia since it describes the moment of inertia of an object as a function of the orientation of the axis of rotation.
kwon3d.com /theory/moi/moi.html   (564 words)

  
 Rotational Moment of Inertia
Use it and your measurements to calculate the moment of inertia of your hoop, and the uncertainty therein.
Use the slope to calculate the moment of inertia, and its uncertainty.
The theoretical calculation of the moment of inertia of the hoop, and its uncertainty.
spiff.rit.edu /classes/phys376/moment.html   (644 words)

  
 polygonal labs » Calculating the Moment of Inertia of a non-regular convex Polygon   (Site not responding. Last check: )
The moment of inertia is needed to calculate the rotational movement of a body.
To calculate the moment of inertia you have to integrate the area (volume in 3D) of the polygon in respect to the rotational axis (most often than not an axis through the center of mass).
The rule states that the moment of inertia about an axis parallel to one through the centroid can be calculated by adding the mass (in this case we use the area of the triangle as mass) multiplied by the squared shortest distance to the parallel axis.
lab.polygonal.de /2006/08/17/calculating-the-moment-of-inertia-of-a-convex-polygon   (1720 words)

  
 Physics & Biomechanics Glossary: Moment of Inertia
Moment of inertia, also called rotational inertia, is a measure of an object's resistance to rotation.
The rotational inertia of an object depends on the mass of the object, the shape of the object, and how the mass is distributed throughout the object's shape.
The farther away the mass of an object is from the axis of rotation, the harder it is to swing the object, and the greater the rotational inertia.
btc.montana.edu /olympics/physbio/glossary/g17.html   (218 words)

  
 Moment Of Inertia; Definition with examples
The Area Moment Of Inertia of a beams cross-sectional area measures the beams ability to resist bending.
The moment of inertia is a geometrical property of a beam and depends on a reference axis.
The moment of inertia of a plane area about an axis normal to the plane is equal to the sum of the moments of inertia about any two mutually perpendicular axes lying in the plane and passing through the given axis.
www.efunda.com /math/areas/MomentOfInertia.cfm?Moment=xc   (230 words)

  
 NLangular
The greater the moment of inertia, the more difficult it is for an external torque to change the state of rest or uniform motion of a rotating body.
Angular acceleration is the torque divided by the moment of inertia.
A reduction in moment of inertia between the leg/trunk complex and the lighter arm, results in an increased velocity of the arm.
www.cwu.edu /~acquisto/NLangular.htm   (1405 words)

  
 Lecture 28: Centroids and Moment of Inertia
The Moment of Inertia (I) is a term used to describe the capacity of a cross-section to resist bending.
The Moment of Inertia is an important value which is used to determine the state of stress in a section, to calculate the resistance to buckling, and to determine the amount of deflection in a beam.
The moment of inertia of such a built-up section is found by adding the moments of inertia of the component parts.
darkwing.uoregon.edu /~struct/courseware/461/461_lectures/461_lecture28/461_lecture28.html   (1380 words)

  
 Mass moment of inertia
Mass moment of inertia for a particle: The mass moment of inertia is one measure of the distribution of the mass of an object relative to a given axis.
The mass moment of inertial should not be confused with the area moment of inertia which has units of length to the power four.
Mass moments of inertia naturally appear in the equations of motion, and provide information on how difficult (how much inertia there is) it is rotate the particle around given axis.
em-ntserver.unl.edu /NEGAHBAN/EM223/note19/note19.htm   (615 words)

  
 Moment of Inertia and Oscillations
To measure the moment of inertia of three different objects about a specified rotational axis and to verify the parallel axis theorem.
The angular velocity is used instead of linear velocity, and the moment of inertia I is used instead of the mass M. Table 4.2 summarizes the correspondence between linear and rotational kinematics for rigid bodies.
1) With error bars, plot the moment of inertia versus the square of the distance of the center of mass of the disk to the axis of the rotary table.
teacher.nsrl.rochester.edu /phy_labs/Moment_of_Inertia/Moment_of_Inertia.html   (1503 words)

  
 Moment of Inertia
*The moment of inertia of a system about some rotational point is the measure of an object's resistance to a change in the object's angular acceleration due to the action of a torque.
There is a simple relationship between the moment of inertia about the center of mass of a body I
and the moment of inertia about some other point that is a distance d from the center of mass provided both axes of rotation are parallel.
www.ac.wwu.edu /~vawter/PhysicsNet/Topics/RotationalKinematics/MomentInertia.html   (205 words)

  
 Moment of Inertia Measurement Instruments - Space Electronics
We are the originator of the torsion flexure measurement concept used in most small moment of inertia instruments (U.S. patent 3,693,413).
These instruments use a spherical air bearing to support a rotary table, and act as a pivot axis for measuring unbalance moments due to the displacement of the test part CG relative to the central axis of the bearing.
XR Series Instruments (Moment of Inertia of objects weighing up to 250 lbs.) - XR instruments have been designed for general use where a reliable well built instrument with high accuracy (0.25%) is required.
www.space-electronics.com /Products/moment_of_inertia_instruments.php   (666 words)

  
 Moment of Inertia (2)   (Site not responding. Last check: )
This laboratory activity illustrates a property of rotational motion defined as "moment of inertia".
The relationship between linear and angular speed and acceleration will be used to measure the moment of inertia of a rotating system..
Calculate the Moment of Inertia and compare its value with the experimental value found from the slope of the graph.
physics.uwstout.edu /univphys1/labs/Inertia2.htm   (617 words)

  
 Reference.com/Encyclopedia/Moment of inertia
For the moment of inertia dealing with bending of a plane, see second moment of area.
The (scalar) moment of inertia of a point mass rotating about a known axis is defined by
If the moment of inertia has been calculated for rotations about the center of mass (usually 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.
www.reference.com /browse/wiki/Moment_of_inertia   (1782 words)

  
 Whole Body Moment of Inertia
The moment of inertia of the whole body about its CM is equal to the sum of those of the individual segments about the whole body CM:
See Principal Axes for the details of the principal moments of inertia and axes.
is useful when one tries to assess the moment of inertia of the body at certain body configuration.
kwon3d.com /theory/lsm/wb.html   (172 words)

  
 Space Electronics - Combined center of Gravity and Moment of Inertia Instrument
When an overturning moment due to the test object CG offset tries to tilt the axis, the optical sensor detects a deflection and an equal and opposite torque is applied to the measuring system to hold the measurement axis vertical.
Since the weight of the payload is totally supported by the gas bearing and none of this force is applied to the torsion rod, the instrument is insensitive to payload weight and may be calibrated using a single test mass.
The moment of inertia indication will then be linear over the full range of weight and moment of inertia specified for the instrument.
www.space-electronics.com /Products/HighSpeedKSR.php   (966 words)

  
 Moment of Inertia
Moments of inertia are additive, so the moment of inertia of the table must be determined first, and then subtracted from the moment of inertia of the system as a whole for the other objects.
Determine the frictional force by dividing the frictional torque by the radius of the drum.
The moment of inertia for the toroid should be found by using 6 masses (100g - 600g) and plotting
www.andrews.edu /PHYS/courses/p261/P261L9.htm   (397 words)

  
 Moment of Inertia
Moment of Inertia, I, is a measure of how the mass of a body is distributed about the axis of rotation.
The greater the distance the mass is away from the object the larger the moment of inertia.
  Thus, the gymnast may adjust way his mass is distributed in order to obtain desired results or an adjustment of the moment of inertia may prove disastrous.
www.unc.edu /~amgrady/moment.htm   (159 words)

  
 Area Moment of inertia
The area moment of inertia is the second moment of area around a given axis.
The moment of inertia of composite bodies can be calculated by adding together the moment of inertial of each of its sections.
To calculate the area moment of inertia of the composite body constructed of the three segments shown, one evaluates the moment of inertial of each part about the x-axis and adds the three together.
em-ntserver.unl.edu /NEGAHBAN/EM223/note18/note18.htm   (406 words)

  
 Moment of Inertia   (Site not responding. Last check: )
The moment of inertia is given by summing all mass points times the square of their distance from the center of rotation.
, the moment of inertia for the ensemble of masses is
For a continuous mass distribution, the moment of inertia is given by integrating the contribution of each differential mass element:
ccrma-www.stanford.edu /~jos/pasp/Moment_Inertia.html   (134 words)

  
 Moment of Inertia Measurement Instruments from Inertia Dynamics
Moment of Inertia is a physical property that effects the rotation of an object.
Inertia Dynamics manufactures the only instrument to quickly and accurately measure the actual moment of inertia of complex multi-material parts.
Inertia Dynamics is prepared to quote on special holding fixtures for such items as golf balls and golf clubs.
www.idicb.com /moimeas.htm   (456 words)

  
 GolfDigest.com - USGA proposes limit on driver moment of inertia   (Site not responding. Last check: )
A club with a high moment of inertia can be said to be more forgiving of hits away from the center of the face.
In a March 30 notice to manufacturers, the USGA noted that the moment of inertia in driver heads had approximately tripled since 1990.
That notice said that going forward the USGA would be looking at three areas of equipment: spin generation, moment of inertia and the adjustability of woods and irons.
www.golfdigest.com /equipment/index.ssf?/equipment/20050831usga.html   (826 words)

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