Elements of Natural Philosophy, Part 1 |
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Page 10
Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to
V ) , and therefore POS is a circle whose b B centre is O. The direction of
acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,
i.e. to ...
Since the velocity in ABD is constant , all the lines OP , 00 , etc. , will be equal ( to
V ) , and therefore POS is a circle whose b B centre is O. The direction of
acceleration at A is parallel to S the tangent at P , that is , is perpendicular to OP ,
i.e. to ...
Page 11
This is true also if the total acceleration and its direction at every instant , or
simply its rectangular components , be given , provided the velocity and its
direction , as well as the position of the point , at any one instant be given . But
these are in ...
This is true also if the total acceleration and its direction at every instant , or
simply its rectangular components , be given , provided the velocity and its
direction , as well as the position of the point , at any one instant be given . But
these are in ...
Page 12
But we have just shown that the average velocity is = { ( V + V + at ) = V + lat , and
therefore x = Vt + fata . Hence , by algebra , 12 + 2ax = 1 + 2 Vat + a't ' = ( V + at )
= v2 , Tv - V = ax . If there be no initial velocity our equations become vrat , x ...
But we have just shown that the average velocity is = { ( V + V + at ) = V + lat , and
therefore x = Vt + fata . Hence , by algebra , 12 + 2ax = 1 + 2 Vat + a't ' = ( V + at )
= v2 , Tv - V = ax . If there be no initial velocity our equations become vrat , x ...
Page 13
The Moment of a velocity or of a force about any point is the product of its
magnitude into the perpendicular from the point upon its direction . The moment
of the resultant velocity of a particle about any point in the plane of the
components is ...
The Moment of a velocity or of a force about any point is the product of its
magnitude into the perpendicular from the point upon its direction . The moment
of the resultant velocity of a particle about any point in the plane of the
components is ...
Page 14
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
For the product of this perpendicular and the velocity at any instant gives double
the area described in one second about the fixed point , which has just been
shown to be a constant quantity . Other examples of these principles will be met
with ...
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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 experience 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 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, Part 1 Volume 23 of A library of universal literature. Science Clarendon Press series 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 |
| Export Citation | BiBTeX EndNote RefMan |