## Elements of Natural Philosophy, Volume 1 |

### From inside the book

Results 1-5 of 29

Page 62

A

The Moment of a

their plane , and is therefore equal to the product of either force into the shortest ...

A

**Couple**is a pair of equal forces acting in dissimilar directions in parallel lines .The Moment of a

**couple**is the sum of the moments of its forces about any point intheir plane , and is therefore equal to the product of either force into the shortest ...

Page 63

The work done by a force , or by a

the product of the moment of either into the angle ( in circular measure ) through

which the body acted on turns , if the moment remains the same in all positions ...

The work done by a force , or by a

**couple**, upon a body turning about an axis , isthe product of the moment of either into the angle ( in circular measure ) through

which the body acted on turns , if the moment remains the same in all positions ...

Page 64

If the moment be variable , the above assertion is only true for indefinitely small

displacements , but may be made accurate by employing the proper average

moment of the force or of the

...

If the moment be variable , the above assertion is only true for indefinitely small

displacements , but may be made accurate by employing the proper average

moment of the force or of the

**couple**. The proof is obvious . 207 . Work done on a...

Page 72

_

formula for linear acceleration is g = v = M 237 . For every rigid body there may

be described about any point as centre , an ellipsoid ( called Poinsot ' s

Momental ...

_

**Couple**velocity ; or w = 122 By § 178 we see that the corresponding Forceformula for linear acceleration is g = v = M 237 . For every rigid body there may

be described about any point as centre , an ellipsoid ( called Poinsot ' s

Momental ...

Page 128

Then if Q be the

have Q = TS TV i qu ' eina og which gives the

If the torsion of the fibres be taken into account , it will be sensibly equal to 0 ...

Then if Q be the

**couple**tending to turn the bar , and W its weight , Wa ? sino wehave Q = TS TV i qu ' eina og which gives the

**couple**in terms of the deflection 0 .If the torsion of the fibres be taken into account , it will be sensibly equal to 0 ...

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis becomes body called centre centre of inertia circle cloth component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire

### Popular passages

Page 161 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.

Page 9 - Persius. The Satires. With a Translation and Commentary. By John Conington, MA, late Corpus Professor of Latin in the University of Oxford. Edited by H. Nettleship, MA Second Edition.

Page 65 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it is compelled by force to change that state.

Page 10 - Crown 8vo. cloth, 7s. 6d. A Treatise on Electricity and Magnetism. By J. Clerk Maxwell, MA, FRS, Professor of Experimental Physics in the University of Cambridge.

Page 28 - Fourier's theorem is not only one of the most beautiful results of modern analysis, but may be said to furnish an indispensable instrument in the treatment of nearly every recondite question in modern physics.

Page 161 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.

Page 66 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.

Page 68 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.

Page 9 - An Elementary Treatise on Quaternions. By PG TAIT, MA, Professor of Natural Philosophy in the University of Edinburgh ; formerly Fellow of St Peter's College, Cambridge. Second Edition. Demy 8vo. 14*.

Page 130 - UNTIL we know thoroughly the nature of matter and the forces which produce its motions, it will be utterly impossible to submit to mathematical reasoning the exact conditions of any physical question.