## Elements of Natural Philosophy |

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Page 1

Thus it appears that there are many properties of motion ,

deformation , which may be considered altogether independently of force , mass ,

chemical constitution , elasticity , tempe . rature , magnetism , electricity ; and that

...

Thus it appears that there are many properties of motion ,

**displacement**, anddeformation , which may be considered altogether independently of force , mass ,

chemical constitution , elasticity , tempe . rature , magnetism , electricity ; and that

...

Page 2

In this category we shall first take up the free motion of a point , then the motion of

a point attached to an inextensible cord , then the motions and

rigid systems — and finally , the deformations of solid and fluid masses . 7 .

In this category we shall first take up the free motion of a point , then the motion of

a point attached to an inextensible cord , then the motions and

**displacements**ofrigid systems — and finally , the deformations of solid and fluid masses . 7 .

Page 21

The velocity of a point executing a Q simple harmonic motion is a simple

harmonic function of the time , a quarter of a period earlier in phase than the

circular motion by ...

The velocity of a point executing a Q simple harmonic motion is a simple

harmonic function of the time , a quarter of a period earlier in phase than the

**displacement**, and having its maximum value equal to the ve . locity in thecircular motion by ...

Page 22

The acceleration of a point executing a simple harmonic motion is at any time

simply proportional to the

direction , or always towards the middle point . Its maximum value is . that with

which a ...

The acceleration of a point executing a simple harmonic motion is at any time

simply proportional to the

**displacement**from the middle point , but in oppositedirection , or always towards the middle point . Its maximum value is . that with

which a ...

Page 26

For , the

composition of motions , the geometrical resultant of the

component motions separately , these component

...

For , the

**displacement**at any instant . being , according to the principle of thecomposition of motions , the geometrical resultant of the

**displacements**due to thecomponent motions separately , these component

**displacements**in the case sup...

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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 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 produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire