| Isaac Wilber Jackson - Mechanics - 1852 - 202 pages
...inertia with respect to the axis KK7 parallel to the first axis, and at a distance from it equal to a. Hence the moment of inertia of a body with respect to any axis*, is equal to its moment of inertia with respect to an axis passing through its centre of gravity ', parallel to... | |
| Isaac Wilber Jackson - Mechanics - 1854 - 218 pages
...inertia with respect to the axis KK' parallel to the first axis, and at a distance from it equal to a. Hence the moment of inertia of a body with respect to any axis, is equal to its moment of inertia with respect to an axis passing through its centre of gravity, parallel to the... | |
| Woolwich roy. military acad - 1861 - 572 pages
...projection and the height of the tower. 7. What is meant by the moment of inertia of a rigid body ; given the moment of inertia of a body with respect to any axis passing through its centre of gravity, find the moment of inertia of the same body round an axis parallel... | |
| Sir William Rowan Hamilton - Quaternions - 1866 - 868 pages
...ellipsoid, suggested by quaternions, a simple geometrical representation (p. 711) of the square-root of the moment of inertia of a body, with respect to any axis AD passing through a given point A, as a certain right line BD, if cu = CA, with the help of two other... | |
| Denison Olmsted - Physics - 1870 - 556 pages
...-2ftfydM = a' M + fr'dM,. .......... (2) since AZ passes through the centre of gravity of the body. Hence, the moment of inertia of a body with respect...through the centre of gravity, plus the mass of the body multiplied by the square of the distance between the two axes. , Put € = the moment of inertia with... | |
| Denison Olmsted - Physics - 1871 - 466 pages
...ftfyd M = a ' M + Sr'dM, .......... (2) since AZ passes through the centre of gravity of the body. Hence, the moment of inertia of a body with respect...through the centre of gravity, plus the mass of the body multiplied by the square of the distance between the two axes. Put C = the moment of inertia with respect... | |
| Denison Olmsted - Physics - 1871 - 452 pages
...since AZ passes through the centre of gravity of the body. Hence, the moment of inertia of a lody ^vith respect to any axis is equal to the moment of inertia...through the centre of gravity, plus the mass of the body multiplied by the square of the distance between the two axes. Put (7=: the moment of inertia with... | |
| 1877 - 678 pages
...ellipse. 9. What is the moment of inertia of a revolving body. Prove that the moment of inertia of a given body with respect to any axis, is equal to the moment of inertia of the same body with respect to a parallel axis passing through the centre of gravity together with... | |
| Denison Olmsted - Physics - 1882 - 522 pages
...ZafxdM -2pfydM=a* M + fr°dM,. , ........ (2) since AZ passes through the centre of gravity of the body. Hence. the moment of inertia of a body with respect to any axis is equal tu the moment of inertia with respect to a parallel axis through the centre of gravity, plus the mass... | |
| Great Britain. Education Department. Department of Science and Art - 1882 - 510 pages
...of vibration. (40) '49. Define the principal axes at a given point of a rigid body. Show how to find the moment of inertia of a body with respect to any axis passing through a given point in terms of the principal moments of inertia at that point. Find the... | |
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