## Elements of Natural Philosophy, Volume 1 |

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Page 53

... not a change of speed , of the motion . 179. The Vis Viva , or Kinetic

a moving body is proportional to the mass and the square of the velocity ,

conjointly . If т T - 09 ) == we adopt the same DYNAMICAL LAWS AND

PRINCIPLES .

... not a change of speed , of the motion . 179. The Vis Viva , or Kinetic

**Energy**, ofa moving body is proportional to the mass and the square of the velocity ,

conjointly . If т T - 09 ) == we adopt the same DYNAMICAL LAWS AND

PRINCIPLES .

Page 54

т T - 09 ) == we adopt the same units of mass and velocity as before , there is

particular advantage in defining kinetic

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

defined ...

т T - 09 ) == 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 massand the square of its velocity . 180. Rate of Change of Kinetic

**Energy**( whendefined ...

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

. 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. LEX III. 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 Emr'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

...

The kinetic

**energy**of rotation of a rigid system about any axis is ( S $ 55 , 179 )expressed by Emr'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

...

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle 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 perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable 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