Elements of Natural Philosophy, Volume 1 |
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Page 19
... namely , Harmonic Motion , which is of such immense use , not only in ordinary
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 harmonic motion .
... namely , Harmonic Motion , which is of such immense use , not only in ordinary
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 harmonic motion .
Page 20
The Amplitude of a simple harmonic motion is the range on one side or the other
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 other
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
...
Page 21
That is , the velocity of P in the simple harmonic motion is PO V PQ ; which , when
P 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 ...
That is , the velocity of P in the simple harmonic motion is PO V PQ ; which , when
P 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 harmonic motions , whether of the same period or not . Only , if they are
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 are
not 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 harmonic motion , whose
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 , whose
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 ...
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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
Bibliographic information
| Title | Elements of Natural Philosophy, Volume 1 Volume 23 of A library of universal literature. Part one - Science [vol.23] Clarendon Press series Elements of Natural Philosophy, Peter Guthrie Tait Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925 |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Clarendon Press, 1873 |
| Original from | the New York Public Library |
| Digitized | 24 May 2011 |
| Length | 279 pages |
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