Elements of Natural Philosophy, Part 1 |
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Page 31
Th is , a body revolve in succession through equal angles , but in opposite
directions , about two A B parallel axes , it finally ... so that a rotation and a
translation in one plane can be compounded into an equal rotation about a
different axis .
Th is , a body revolve in succession through equal angles , but in opposite
directions , about two A B parallel axes , it finally ... so that a rotation and a
translation in one plane can be compounded into an equal rotation about a
different axis .
Page 32
From this it immediately follows , that any displacement of a rigid solid , which is
in directions wholly perpendicular to a fixed line , may be produced by the rolling
of a cylinder fixed in the solid on another cylinder fixed in space , the axes of the ...
From this it immediately follows , that any displacement of a rigid solid , which is
in directions wholly perpendicular to a fixed line , may be produced by the rolling
of a cylinder fixed in the solid on another cylinder fixed in space , the axes of the ...
Page 34
Hence the body may pass from any one position to any other by a definite
amount of rotation about a definite axis . And hence , also , successive or
simultaneous rotations about any number of axes through the fixed point may be
compounded ...
Hence the body may pass from any one position to any other by a definite
amount of rotation about a definite axis . And hence , also , successive or
simultaneous rotations about any number of axes through the fixed point may be
compounded ...
Page 35
Let OA , OB be two axes about which a body revolves with angular velocities w ,
w , respectively . ... to the angular velocities about these axes — the diagonal of
the parallelogram of which these are contiguous sides is the resultant axis .
Let OA , OB be two axes about which a body revolves with angular velocities w ,
w , respectively . ... to the angular velocities about these axes — the diagonal of
the parallelogram of which these are contiguous sides is the resultant axis .
Page 36
tending to produce rotation about a perpendicular axis , the result will be a
change of direction of the axis about which the body revolves , but no change in
the angular velocity . 109. If a pyramid or cone of any form roll on a similar
pyramid ...
tending to produce rotation about a perpendicular axis , the result will be a
change of direction of the axis about which the body revolves , but no change in
the angular velocity . 109. If a pyramid or cone of any form roll on a similar
pyramid ...
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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 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 |