Moment of inertia
From Wikipedia, the free encyclopedia
Moment of inertia, also called mass moment of inertia[1], is the rotational analog of mass.
That is, it is the inertia of a rotating body with respect to its rotation. The moment of inertia plays much the same role in rotational dynamics as mass does in basic dynamics. It determines the relationship between angular momentum and angular velocity, torque and angular acceleration.
A simple scalar treatment of the moment of inertia is sufficient for many situations. But with a more advanced tensor treatment it is possible to allow the analysis of such complicated systems as spinning tops and gyroscope motion.
The symbols
and sometimes
are usually used to refer to the moment of inertia.
Other pages [change]
References [change]
- ↑ sometimes also the angular mass, (SI units kg m², Former British units slug ft2)
- Goldstein H. (1980) Classical Mechanics, 2nd. ed., Addison-Wesley. ISBN 0-201-02918-9
- Landau LD and Lifshitz EM. (1976) Mechanics, 3rd. ed., Pergamon Press. ISBN 0-08-021022-8 (hardcover) and ISBN 0-08-029141-4 (softcover).
- Marion JB and Thornton ST. (1995) Classical Dynamics of Systems and Particles, 4th. ed., Thomson. ISBN 0-03-097302-3
- Symon KR. (1971) Mechanics, 3rd. ed., Addison-Wesley. ISBN 0-201-07392-7
- Tenenbaum, RA. (2004) Fundamentals of Applied Dynamics, Springer. ISBN 0-387-00887-X
Other websites [change]
- Angular momentum and rigid-body rotation in two and three dimensions
- A table of moments of inertia
- Lecture notes on rigid-body rotation and moments of inertia
- The moment of inertia tensor
- An introductory lesson on moment of inertia: keeping a vertical pole not falling down (Java simulation)