Elements of Natural Philosophy |
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Page 31
It is not necessary to suppose the figure to be a mere flat disc or plane - for the
preceding statements apply to any one of a set of parallel planes in a rigid body ,
moving in any way subject to the condition that the points of any one plane in it ...
It is not necessary to suppose the figure to be a mere flat disc or plane - for the
preceding statements apply to any one of a set of parallel planes in a rigid body ,
moving in any way subject to the condition that the points of any one plane in it ...
Page 32
Again , suppose ABDC to be a jointed frame , AB having a reciprocating motion
about A , and by a link BD turning CD in the same plane about C . Deter . mine
the relation between the angular velocities of AB and CD in any position .
Evidently ...
Again , suppose ABDC to be a jointed frame , AB having a reciprocating motion
about A , and by a link BD turning CD in the same plane about C . Deter . mine
the relation between the angular velocities of AB and CD in any position .
Evidently ...
Page 39
... commence with the sliding of one straight - edged board on another . Thus let
CDEF be a plane board whose edge , DE , slides on the edge , AB , of another
board , ABC of which for convenience we suppose the edge , AC , to be
horizontal .
... commence with the sliding of one straight - edged board on another . Thus let
CDEF be a plane board whose edge , DE , slides on the edge , AB , of another
board , ABC of which for convenience we suppose the edge , AC , to be
horizontal .
Page 40
... plane perpendicular to ON , and radius NP , which , as this radius revolves with
angular velocity w , is w . NP . Hence Q . QP = w . NP , or w : 0 : : QP : NP . 118 .
Suppose a rigid body bounded by any curved surface to be touched at any point
...
... plane perpendicular to ON , and radius NP , which , as this radius revolves with
angular velocity w , is w . NP . Hence Q . QP = w . NP , or w : 0 : : QP : NP . 118 .
Suppose a rigid body bounded by any curved surface to be touched at any point
...
Page 47
First let us suppose there to be no alteration of volume on the whole , and neither
elongation nor contraction along the mean principal axis . Let OX and OZ be the
directions of maximum elongation and maximum contraction respectively .
First let us suppose there to be no alteration of volume on the whole , and neither
elongation nor contraction along the mean principal axis . Let OX and OZ be the
directions of maximum elongation and maximum contraction respectively .
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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 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 period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire
Bibliographic information
| Title | Elements of Natural Philosophy |
| Authors | William Thomson Baron Kelvin, Peter Guthrie Tait |
| Publisher | Collier, 1902 |
| Original from | Harvard University |
| Digitized | 25 Mar 2009 |
| Length | 295 pages |
| Export Citation | BiBTeX EndNote RefMan |