Moment of inertia

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Definition

Centroid Figure skaters Tuck position Newton's law of motion Simple pendulum

13 related topics

Inertia matrix in different reference frames

Eigendecomposition J. J. Sylvester (1852)Sylvester's law of inertia Top 360°

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Overview

Rigid body Torque Angular acceleration Mass Inertia

25 related topics

Examples

Unit vector Vector triple product expansion Natural Frequency

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Common symbols: I, J
Derivations from other quantities: I = L ω {\displaystyle I={\frac {L}{\omega }}}
Dimension: M L2
Other units: lbm·ft2
SI unit: kg⋅m2

Topics to explore

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Measuring moment of inertia

Moment of inertia of area

Second moment of area
Beams Beam (structure)

Motion in a fixed plane

Integral Multiple integral
Function Function (mathematics)
Mechanical system

Motion in space of a rigid body, and the inertia matrix

Jacobi identity

Inertia tensor

Matrix transpose Transpose
Matrix Rotation matrix

Inertia matrix in different reference frames

Eigendecomposition Eigendecomposition of a matrix
J. J. Sylvester (1852) James Joseph Sylvester
Sylvester's law of inertia
Top Spinning top
360° Turn (geometry)
Platonic solid
Motion Motion (physics)
Vehicles Vehicle
Yaw, pitch, and roll
Balancing a tire Tire balance
Rotational spectra Rotational spectroscopy
Poinsot's ellipsoid
Ellipsoid

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Map overview Semantic statistics

Nodes89

Edges88

Triples71

Avg. degree1.98

Density0.022472

Components1

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Moment of inertia

Top relations

related to Ellipsoid · 6

Moment of inertia → Lambda, Let, Poinsot's, The, Then, Write

related to Introduction · 6

Moment of inertia → For, Moments, SI, The, US, When

related to External links · 5

Moment of inertia → Angular, Free Moment, Inertia Calculator, Java, Tutorial

related to Point mass · 5

Moment of inertia → Consider, It, The, This, To

related to Rigid body · 5

Moment of inertia → Delta, If, In, Newton's, The

related to Scalar moment of inertia in a plane · 5

Moment of inertia → Choose, Delta, Let, The, This

related to Compound pendulums · 4

Moment of inertia → Its, Measuring, The, Thus

related to Definition · 4

Moment of inertia → For, It, Its, The

related to Inertia tensor · 4

Moment of inertia → For, In, It, The

is a · 3

Moment of inertia → physical property that combines the mass and distribution of the particles around the rotation axis, same about any axis.The principal axes are often aligned with the object's symmetry axes, sum of the moments of inertia of each of the particles that it is composed of

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Important terminology

inertia displaystyle moment mass mathbf body matrix axis point left right rigid center system pendulum sum angular omega boldsymbol around

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
Moment of inertia	Common symbols	I, J	1.00	infobox
Moment of inertia	Derivations from other quantities	I = L ω {\displaystyle I={\frac {L}{\omega }}}	1.00	infobox
Moment of inertia	Dimension	M L2	1.00	infobox
Moment of inertia	Other units	lbm·ft2	1.00	infobox
Moment of inertia	SI unit	kg⋅m2	1.00	infobox
Moment of inertia	is a	sum of the moments of inertia of each of the particles that it is composed of	0.90	text
Moment of inertia	is a	physical property that combines the mass and distribution of the particles around the rotation axis	0.90	text
Moment of inertia	is a	same about any axis.The principal axes are often aligned with the object's symmetry axes	0.90	text
a vehicle or airplane around its vertical axis can be measured by suspending the system from three points to form a trifilar pendulum	instance of	Measuring moment of inertiaThe moment of inertia of a complex system	0.80	text
I 12	instance of	A product of inertia term	0.80	text
SolidWorks	instance of	for the components of the inertia tensor.Alternate inertia conventionThere are some CAD and CAE applications	0.80	text
Unigraphics NX/Siemens NX	instance of	for the components of the inertia tensor.Alternate inertia conventionThere are some CAD and CAE applications	0.80	text

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