Elements of Natural Philosophy, Volume 1 |
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Page 7
... since , in the latter case , the direction of motion continually changes , the mere
amount of the velocity is not sufficient completely to describe the motion , and we
must have in every such case additional data to thoroughly specify the motion .
... since , in the latter case , the direction of motion continually changes , the mere
amount of the velocity is not sufficient completely to describe the motion , and we
must have in every such case additional data to thoroughly specify the motion .
Page 9
... becomes the tangent at P. Hence the direction of acceleration is that of the
tangent to the curve thus described . The amount of acceleration is the rate of
change of velocity , and is therefore measured by the velocity of P in the curve PQ
. 36.
... becomes the tangent at P. Hence the direction of acceleration is that of the
tangent to the curve thus described . The amount of acceleration is the rate of
change of velocity , and is therefore measured by the velocity of P in the curve PQ
. 36.
Page 10
Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore
equal to V 12 R R ' and this ( $ 35 ) is the amount of the acceleration in the
circular path ABD . 37. The whole acceleration in any direction is the sum of the ...
Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore
equal to V 12 R R ' and this ( $ 35 ) is the amount of the acceleration in the
circular path ABD . 37. The whole acceleration in any direction is the sum of the ...
Page 14
... arc of the hodograph represents the change of velocity of the moving point
during the corresponding time ; and also that the tangent to the hodograph is
parallel to the direction , and the velocity in the hodograph is equal to the amount
of the ...
... arc of the hodograph represents the change of velocity of the moving point
during the corresponding time ; and also that the tangent to the hodograph is
parallel to the direction , and the velocity in the hodograph is equal to the amount
of the ...
Page 22
To find the time and the amount of the maximum acceleration or retardation of
phase , let CA be equal to the greater half - amplitude . From A as centre , with AB
the less halfamplitude as radius , describe a circle . CB touching this circle ...
To find the time and the amount of the maximum acceleration or retardation of
phase , let CA be equal to the greater half - amplitude . From A as centre , with AB
the less halfamplitude as radius , describe a circle . CB touching this circle ...
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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 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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