## Elements of Natural Philosophy, Part 1 |

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Results 6-10 of 76

Page 10

Since the

V ) , and therefore POS is a circle whose b B centre is O. The direction of

acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,

i.e. to ...

Since the

**velocity**in ABD is constant , all the lines OP , 00 , etc. , will be equal ( toV ) , and therefore POS is a circle whose b B centre is O. The direction of

acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,

i.e. to ...

Page 11

This is true also if the total acceleration and its direction at every instant , or

simply its rectangular components , be given , provided the

direction , as well as the position of the point , at any one instant be given . But

these are in ...

This is true also if the total acceleration and its direction at every instant , or

simply its rectangular components , be given , provided the

**velocity**and itsdirection , as well as the position of the point , at any one instant be given . But

these are in ...

Page 12

But we have just shown that the average

therefore x = Vt + fata . Hence , by algebra , 12 + 2ax = 1 + 2 Vat + a't ' = ( V + at )

= v2 , Tv - V = ax . If there be no initial

But we have just shown that the average

**velocity**is = { ( V + V + at ) = V + lat , andtherefore x = Vt + fata . Hence , by algebra , 12 + 2ax = 1 + 2 Vat + a't ' = ( V + at )

= v2 , Tv - V = ax . If there be no initial

**velocity**our equations become vrat , x ... Page 13

The Moment of a

magnitude into the perpendicular from the point upon its direction . The moment

of the resultant

components is ...

The Moment of a

**velocity**or of a force about any point is the product of itsmagnitude into the perpendicular from the point upon its direction . The moment

of the resultant

**velocity**of a particle about any point in the plane of thecomponents is ...

Page 14

For the product of this perpendicular and the

the area described in one second about the fixed point , which has just been

shown to be a constant quantity . Other examples of these principles will be met

with ...

For the product of this perpendicular and the

**velocity**at any instant gives doublethe area described in one second about the fixed point , which has just been

shown to be a constant quantity . Other examples of these principles will be met

with ...

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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 experience 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 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