Angular-momentum Sentence Examples

On the other hand, if the effects arose from balanced stresses set up inside the globe by the radiation, the effects on the vanes and on the case would be of the nature of action and reaction, so that the establishment of motion of the vanes in one direction would involve impulsion of the case in the opposite direction; but when the motion became steady there would no longer be any torque either on the vanes or on the case, and the latter would therefore come back to its previous position of equilibrium; finally, when the light was turned off, the decay of the motion of the vanes would involve impulsion of the case in the direction of their motion until the moment of the restoring torque arising from the suspension of the case had absorbed the angular momentum in the system.

The velocity of propagation of a torsional disturbance along a wire of circular section may be found by the transfer of momentum method, remembering that we must now replace linear momentum by angular momentum.

Hence the angular momentum conveyed per second outwards is 2prra 4 Ud0/dt.

Since no angular momentum goes out on the whole Z nwra 4 d0/dx -?- 2 pwra 4 Ud0/dt = o.

Lord Kelvin was thereby induced to identify magnetic force with rotation, involving, therefore, angular momentum in the aether.

Long previously Lord Kelvin himself came nearer this view, in offering the opinion that magnetism consisted, in some way, in the angular momentum of the material molecules, of which the energy of irregular translations constitutes.

When the angular momentum is too great for the usual spheroidal form to persist, this gives place to an ellipsoid with three unequal axes; this is succeeded by a pear-shaped form.

The second general result is the Principle of Angular Momentum.

If extraneous forces act, the total angular momentum about any fixed axis is in time t increased by the total extraneous impulse about that axis.

If there are no extraneous forces, or if the extraneous forces have zero moment about any axis through G, the vector which represents the resultant angular momentum relative to G is constant in every respect.

If we integrate with respect to I between fixed limits, we obtain the principles of linear and angular momentum in the form previously given, Hence, whichever form of postulate we adopt, we are led to the principles of linear and angular momentum, which form in fact the basis of all our subsequent work.

The angular momentum of a particle m at a distance r from the axis is mwr.

It may also be deduced from the principles of linear and angular momentum as embodied in the equations (9).

It is to be carefully noticed that the axis of resultant angular momentum about 0 does not in general coincide with the instantaneous axis of rotation.

The axis of resultant angular momentum is therefore normal to the tangent plane at J, and does not coincide with OJ unless the latter be a principal axis.

Again, the vector which represents the angular momentum with respect to 0 will be constant in every respect.

For we have seen that r is constant when there are no extraneous forces; and r is evidently not affected by an instantaneous impulse which leaves the angular momentum Cr, about the axis of symmetry, unaltered.

The components of angular momentum about Ox, Qy, 01 will be denoted as usual by X, u, v.

Hence the altered angular momentum about Ox will be X+OX+(is+Ou)(rOt)+ (v+Oe)qOt.

The meaning of these quantities is easily recognized; thus X is the angular momentum about a horizontal axis normal to the plane of 0, u is the angular momentum about the vertical OZ, and s is the angular momentum about the axis of symmetry..

Finally, if the infalling gas has too much angular momentum it cannot form circumstellar disks and all goes into a circumbinary disk.

We devise an equivalent of the Jones matrix formulation for light possessing orbital angular momentum.

Madabhushi, S.P.G., Schofield, A.N., Lesley, S. A new stored angular momentum (SAM) based earthquake actuator.

As more pairs are broken, the nucleons contribute more single-particle spin to the total angular momentum.

The large angular momentum in this massive disk leads to turbulence and increased interaction of the constituents.

They can be used very generally to study the angular momentum and spectroscopic factors associated with specific single particle states.

This angular momentum leads to a magnetic moment of fixed size for each particle.

Considered by itself, with the cylinders held fixed, the vortex sets up a circumferential velocity m/r on a radius r, so that the angular momentum of a circular filament of annular cross section dA is pmdA, and of the whole vortex is pm7r(b2-a2).

Any circular filament can be started from rest by the application of a circumferential impulse 7rpmdr at each end of a diameter; so that a mechanism attached to the cylinders, which can set up a uniform distributed impulse rpm across the two parts of a diameter in the liquid, will generate the vortex motion, and react on the cylinder with an impulse couple-pmira 2 and pm7rb 2, having resultant pm7r(b 2 -a 2), and this couple is infinite when b = oo, as the angular momentum of the vortex is infinite.