## Elements of Natural Philosophy, Volume 1 |

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Page 53

... speed , of the motion . 179 . The Vis Viva , or Kinetic

is proportional to the mass and the square of the velocity , conjointly . If we adopt

the same units of mass and velocity as DYNAMICAL LAWS AND PRINCIPLES .

... speed , of the motion . 179 . The Vis Viva , or Kinetic

**Energy**, of a moving bodyis proportional to the mass and the square of the velocity , conjointly . If we adopt

the same units of mass and velocity as DYNAMICAL LAWS AND PRINCIPLES .

Page 54

we adopt the same units of mass and velocity as before , there is particular

advantage in defining kinetic

square of its velocity . 180 . Rate of Change of Kinetic

above ) is ...

we adopt the same units of mass and velocity as before , there is particular

advantage in defining kinetic

**energy**as half the product of the mass and thesquare of its velocity . 180 . Rate of Change of Kinetic

**Energy**( when defined asabove ) is ...

Page 64

Work done on a body by a force is always shown by a corresponding increase of

vis viva , or kinetic

or have work done against them . If work be done against any forces , the ...

Work done on a body by a force is always shown by a corresponding increase of

vis viva , or kinetic

**energy**, if no other forces act on the body which can do workor have work done against them . If work be done against any forces , the ...

Page 68

... or transferrence of

III . Actioni contrariam semper et aequalem esse reactionem : sive corporum

duorum actiones in se mutuņ semper esse aequales et in partes contrarias dirigi .

... or transferrence of

**energy**in any form . This is perfectly supplied by 227 . LEXIII . Actioni contrariam semper et aequalem esse reactionem : sive corporum

duorum actiones in se mutuņ semper esse aequales et in partes contrarias dirigi .

Page 71

The kinetic

expressed by mr - w , where m is the mass of any part , r its distance from the axis

, and w the angular velocity of rotation . It may evidently be written in the form w ...

The kinetic

**energy**of rotation of a rigid system about any axis is ( S $ 55 , 179 )expressed by mr - w , where m is the mass of any part , r its distance from the axis

, and w the angular velocity of rotation . It may evidently be written in the form w ...

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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.