Movatterモバイル変換

moment of inertia

From Wiktionary, the free dictionary

EnglishWikipedia has an article on:

moment of inertia

Wikipedia

EnglishWikipedia has an article on:

second moment of area

Wikipedia

moment of inertia (pluralmoments of inertia)

(physics, classical mechanics) Ameasure of a rigid body'sresistance to change in itsangular velocity around a given axis.
Themoment of inertia of a rigid body is a quantity that determines thetorque needed for a givenangular acceleration about a given rotational axis, analogous to howmass determines theforce needed for a givenacceleration.
- 1882,Edward John Routh,The Elementary Part of a Treatise on the Dynamics of a System of Rigid Bodies, 4th edition, MacMillan & Co.,page10:
  Themoments of inertia of a heterogeneous body whose boundary is a surface of uniform density may sometimes be found by the method of differentiation.
- 1884,Benjamin Williamson,An Elementary Treatise on the Integral Calculus, 4th edition, Appleton and Company,page292:
  Consequently, themoment of inertia of a body relative to any axis can be found when that for the parallel axis through its centre of gravity is known.
(engineering, structural engineering)Second moment of area; ameasure of a rigid body'sresistance tobending.
- 2007, Robert L. Mott,Applied Strength of Materials, 5th edition, Taylor & Francis (CRC Press),page323:
  Stresses due to vertical shearing forces also depend onmoment of inertia and are discussed in Chapter 8.
  Some mathematicians and stress analysts use the termsecond moment of area instead ofmoment of inertia. That term is, in fact, more descriptive of the definition of this property in the following discussion.

measure of resistance to change in angular velocity

second moment of area—seesecond moment of area