## Elements of Natural Philosophy, Volume 1 |

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Page 19

... namely ,

kinetics , but in the theories of sound ... diameter AA of the circle , intersects the

diameter in a point P , whose position changes by a simple

... namely ,

**Harmonic**Motion , which is of such immense use , not only in ordinarykinetics , but in the theories of sound ... diameter AA of the circle , intersects the

diameter in a point P , whose position changes by a simple

**harmonic**motion . Page 20

The Amplitude of a simple

of the middle point of the course , i.e. OA or OA ' in the figure . An arc of the circle

referred to , measured from any fixed point to the uniformly moving point l , is the

...

The Amplitude of a simple

**harmonic**motion is the range on one side or the otherof the middle point of the course , i.e. OA or OA ' in the figure . An arc of the circle

referred to , measured from any fixed point to the uniformly moving point l , is the

...

Page 21

That is , the velocity of P in the simple

P passes through O , becomes V. ol 00 74. The acceleration of a point executing

a simple

That is , the velocity of P in the simple

**harmonic**motion is PO V PQ ; which , whenP passes through O , becomes V. ol 00 74. The acceleration of a point executing

a simple

**harmonic**motion is at any time simply proportional to the displacement ... Page 22

The construction described in the preceding section exhibits the resultant of two

simple

not of the same period , the diagonal of the parallelogram will not be constant ,

but ...

The construction described in the preceding section exhibits the resultant of two

simple

**harmonic**motions , whether of the same period or not . Only , if they arenot of the same period , the diagonal of the parallelogram will not be constant ,

but ...

Page 23

If their periods are equal , their resultant is a simple

phase is at every instant the mean of their phases , and whose amplitude is equal

to twice the amplitude of either multiplied by the cosine of half the difference of ...

If their periods are equal , their resultant is a simple

**harmonic**motion , whosephase is at every instant the mean of their phases , and whose amplitude is equal

to twice the amplitude of either multiplied by the cosine of half the difference 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