## Elements of Natural Philosophy, Volume 1 |

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Page 59

The

connected with one another or not ) is the point whose distance is equal to their

average distance from any plane whatever ( 194 ) . A group of material points of ...

The

**Centre of Inertia**or Mass of a system of equal material points ( whetherconnected with one another or not ) is the point whose distance is equal to their

average distance from any plane whatever ( 194 ) . A group of material points of ...

Page 60

y = Ew The co - ordinates of the

points ( ,, Yu , 2 ) , ( x , y , z ) , etc. , are given by the following formulae :W.X + W.

X2 + etc . Σuυ Ewy wz Wi + w , + etc . Σ Ew These formulae are perfectly general ...

y = Ew The co - ordinates of the

**centre of inertia**, of masses W2 , W2 , etc. , atpoints ( ,, Yu , 2 ) , ( x , y , z ) , etc. , are given by the following formulae :W.X + W.

X2 + etc . Σuυ Ewy wz Wi + w , + etc . Σ Ew These formulae are perfectly general ...

Page 61

Also , the sum of the products of the mass of each part of a system by the square

of its distance from any axis is called the

this axis ; and the second proposition above is equivalent toThe

Also , the sum of the products of the mass of each part of a system by the square

of its distance from any axis is called the

**Moment of Inertia**of the system aboutthis axis ; and the second proposition above is equivalent toThe

**moment of****inertia**... Page 65

If the universe of matter were finite , its

as absolutely at rest ; or it might be imagined to be moving with any uniform

velocity in any direction whatever through But it is remarkable that the first law of

...

If the universe of matter were finite , its

**centre of inertia**might fairly be consideredas absolutely at rest ; or it might be imagined to be moving with any uniform

velocity in any direction whatever through But it is remarkable that the first law of

...

Page 70

( 6 ) When any forces whatever act on the body , the motion of the

is the same as it would have been had these forces been applied with their

proper magnitudes and directions at that point itself . ( c ) Since the moment of a

force ...

( 6 ) When any forces whatever act on the body , the motion of the

**centre of inertia**is the same as it would have been had these forces been applied with their

proper magnitudes and directions at that point itself . ( c ) Since the moment of a

force ...

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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