Fields of force; supplementary lectures, applications to meteorology; . Fig. 18. fluid, which is the oscillation which brings it into water masseswith different motions. Fig. 18, 6 shows the corresponding forcesacting on the poles of an induced magnet of diamagnetic polarity.And, as is evident at once from the similarity of these figures,the heavy body in the hydrodynamic field will be acted upon by aforce which oppositely corresponds to the force to which a diamag-netic body is subject in the magnetic field. The well known laws for the motion of magnetic and diamag-netic bodies in the magneti

Fields of force; supplementary lectures, applications to meteorology; . Fig. 18. fluid, which is the oscillation which brings it into water masseswith different motions. Fig. 18, 6 shows the corresponding forcesacting on the poles of an induced magnet of diamagnetic polarity.And, as is evident at once from the similarity of these figures,the heavy body in the hydrodynamic field will be acted upon by aforce which oppositely corresponds to the force to which a diamag-netic body is subject in the magnetic field. The well known laws for the motion of magnetic and diamag-netic bodies in the magneti Stock Photo

RMID:2AX6M2N

Image details

Contributor:

The Reading Room / Alamy Stock Photo

Image ID:

2AX6M2N

File size:

7.1 MB (131.1 KB Compressed download)

Releases:

Model - no | Property - noDo I need a release?

Dimensions:

1904 x 1312 px | 32.2 x 22.2 cm | 12.7 x 8.7 inches | 150dpi

More information:

This image is a public domain image, which means either that copyright has expired in the image or the copyright holder has waived their copyright. Alamy charges you a fee for access to the high resolution copy of the image.

This image could have imperfections as it’s either historical or reportage.

Fields of force; supplementary lectures, applications to meteorology; . Fig. 18. fluid, which is the oscillation which brings it into water masseswith different motions. Fig. 18, 6 shows the corresponding forcesacting on the poles of an induced magnet of diamagnetic polarity.And, as is evident at once from the similarity of these figures, the heavy body in the hydrodynamic field will be acted upon by aforce which oppositely corresponds to the force to which a diamag-netic body is subject in the magnetic field. The well known laws for the motion of magnetic and diamag-netic bodies in the magnetic field can, therefore, be transferred atonce to the motion of the light and heavy bodies in the hydro-dynamic field. The most convenient of these laws is that of 44 FIELDS OF FORCE. Faraday, which connects the force with the absolute intensity, or to the energy, of the field. Remembering the reversed direc-tion of the force, we conclude that: Tlie light body icill move in the direction of decreasing, the lieavybody in the direction of increasing energy of the field.

Search stock photos by tags

bookcentury1900 bookdecade1900 bookpublisheretcetc bookyear190

Similar stock images

RM2AX6PHN–Fields of force; supplementary lectures, applications to meteorology; . i®5=^^;^- i^

RM2AX6PBE–Fields of force; supplementary lectures, applications to meteorology; . i®5=^^;^- i^. Finally, Fig. 8, a, gives the lines of oscillation produced in thefluid by an oscillating body, and Fig. 8, h, the corresponding linesof magnetic force produced by a short magnet. 22 FIKLDS OF FORCE. x^l/Z / / / ??: ^ ? 1 ; / / :.!// /. / l

RM2AX6NK0–Fields of force; supplementary lectures, applications to meteorology; . Fig. 10. the lines of flow produced by it will be deflected so that they runtangentially to the surface of the other. The cylinder at rest thusinfluences the field just as a cylinder of infinite diamagnetivitywould influence the magnetic field. The rotating cylinders there-fore correspond to conductors for electric currents, which are con-structed in a material of infinite diamagnetivity. This analogy to electromagnetism is limited in itself, apartfrom its divergence from the analogy considered previously.The extreme diama

RM2AX6HKB–Fields of force; supplementary lectures, applications to meteorology; . before you in this lecture,were the same in previous geological periods as they are to-day. 18. Vortices and Eledrio Currents. — We have obtained themost complete analogy possible of hydrodynamic phenomena to thephenomena of electrostatics or of magnetism, the only differencebeing that depending upon the inverse pole-law. Our investigation of the geometry of the field showed us INVESTIGATION OP DYNAMICAL PROPERTIES. 51 that we meet with difficulties if we try to extend the analogybeyond this point. The discovery of a compl

RM2AX6T0G–Fields of force; supplementary lectures, applications to meteorology; . Fig. 1. electric motor, or any other suitable source, for motive power.The use of the crank has the advantage that the amplitudes of theoscillations of the springs are invariable and independent of theresistance to the motion. It should be noted here, that, with thecrank, the springs may be used simply as rigid levers, by loosen-ing the screws, m, which hold them in the base. The springs arethen free to turn about a pivot just below the screws. A hydraulic motor might also be used to drive the generator.Two coaxial brass c

RM2AX6JTA–Fields of force; supplementary lectures, applications to meteorology; . te inevery case. The particles, therefore, will chain together normallyto the lines of flow in the fluid ; they will arrange themselves aslayers which follow the equipotential surfaces, and which, as a con-sequence of mutual repulsion, are separated from each other byempty spaces. It is indifi^erent whether for the experiment we INVESTIGATION OF DYNAMICAL PKOPERTIES. 49 take a light powder, which would correspond to the iron filings, ora heavy powder, which would correspond to the bismuth filings. For practical reasons, it

RM2AX6NP3–Fields of force; supplementary lectures, applications to meteorology; . isto the electric current which produces it. To consider only the case of rectilinear vortices, the field of onerectilinear vort€x is represented by concentric circles. And thisfield corresponds to the magnetic field of a rectilinear current.The hydrodynamic field of two rectilinear parallel vortices which INVESTIGATION OF GEOMETRIC PROPERTIES. 27 have the same direction of rotation is shown in Fig. 9, and thisfield is strictly analogous to the magnetic field of two rectilinearparallel currents in the same direction. Fig.

RM2AX6PR4–Fields of force; supplementary lectures, applications to meteorology; . Fig. 7, a, gives the more complicated representation of the lineof oscillation produced in the water by a combination of three pul- INVESTIGATION OF GEOMETEIC PROPERTIES. 21 sating bodies, two pulsating in the same phase, and one in tiieopposite, and Fig. 7, b, gives the perfectly analogous representa-tion of the magnetic lines of force produced by three magneticpoles, of which two have the same sign, and one the opposite. I ?/ - // (.

RM2AX6N13–Fields of force; supplementary lectures, applications to meteorology; . Fig. 17. the same motion, it will be subject in these two positions to kineticbuoyancies not exactly equal and not exactly opposite in direc-tion. The motion cannot therefore be strictly periodic. As aconsequence of a feeble dissymmetry there will be superposedupon the oscillation a progressive motion. That the average force which produces this progressive motionis strictly analogous to the force depending upon induced magnetismor electrification by influence, is easily seen. As we have alreadyshown in the preceding lectur

RM2AX6N84–Fields of force; supplementary lectures, applications to meteorology; . f the electric field. This action of the bodies u^wn the geomet-rical configuration of the field is, in the case of electricity or mag-6 42 FIELDS OF FORCE. netism, accompanied by a mechanical force exerted by the fieldupon the bodies. ^Ye shall see how it is in this respect in thehydrodynamic field. As we concluded from the principle of kinetic buoyancy, a bodywhich is lighter than the water is brought into oscillation withgreater amplitudes than those of the water; a body of the samedensity as the water will be brought i

RM2AX6NB6–Fields of force; supplementary lectures, applications to meteorology; . th may be plotted, andthe average value found. Aswe desire only qualitative re-sults, it will be sufficient toconsider the body in the twoextreme positions only, wherewe have to do with the ex-treme values of the force. Let, then, the continuous circle (Fig. 14) represent the oscillat-ing body in one extreme position, and the dotted circle the samebody in the other extreme position, and let the two arrows be pro-portional to the accelerations which the fluid has at these two placesat the corresponding times. The compositio

RM2AX6TCC–Fields of force; supplementary lectures, applications to meteorology; . -rod, b.The upper ends of these springs are connected by the piston-rods,a, to the pistons of the air-pumps, which are supported on awooden frame in such a way that each is free to turn about ahorizontal axis, c, passing through the top of the correspondingspring perpendicular to the piston-rod. Thus either pump can be INVESTIGATION OF GEOMETRIC IK()PEKT1 EH. 15 revolved through 180°, or through a smaller angle, withoutstopping the pumps. The amplitude of the strolies in any posi-tion is proportional to the cosine of this

RM2AX6NTN–Fields of force; supplementary lectures, applications to meteorology; . pressure in a perfect fluid. A cylinder, forinstance, making rotary oscillations around its axis will produceno motion at all in a perfect fluid. Quite the contrary is true,if the fluid be viscous, or if it have a suitable transverse elasticity, 26 FIELDS OF FORCE. as does an aqueous solution of gelatine. But, as we shall limitourselves to the consideration of perfect fluids, we shall not con-sider the phenomena in such media. 17. Detached Hydrodynamic Analogy to the Fields of StationaryEleetroinagnetisjn.—A direct continu