## Elements of Natural Philosophy, Volume 1 |

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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 , temperature , magnetism , electricity ; and that

the ...

Thus it appears that there are many properties of motion ,

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

chemical constitution , elasticity , temperature , magnetism , electricity ; and that

the ...

Page 20

... a period earlier in phase than the

value equal to the velocity in the circular motion by which the A ' given function is

defined . For , in the fig . , if V be the velocity in the circle , it may be represented

by .

... a period earlier in phase than the

**displacement**, and having its maximumvalue equal to the velocity in the circular motion by which the A ' given function is

defined . For , in the fig . , if V be the velocity in the circle , it may be represented

by .

Page 21

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 24

In the first place , we see that any number of simple harmonic motions of one

period , and of the same phase , superimposed , produce a single simple

harmonic motion of the same phase . For , the

according ...

In the first place , we see that any number of simple harmonic motions of one

period , and of the same phase , superimposed , produce a single simple

harmonic motion of the same phase . For , the

**displacement**at any instant being ,according ...

Page 25

But , since A'OA , QPO , and QP'0 are right angles , the figure B ' QP OP is a

parallelogram , and therefore is in the position of the

of OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines

, of ...

But , since A'OA , QPO , and QP'0 are right angles , the figure B ' QP OP is a

parallelogram , and therefore is in the position of the

**displacement**compoundedof OP and OP ' . Hence two equal simple harmonic motions in perpendicular lines

, of ...

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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