Elements of Natural Philosophy, Part 1 |
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Page 29
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 31
Th is , a body revolve in succession through equal angles , but in opposite
directions , about two A B parallel axes , it finally takes a position to which it could
have been brought by a simple translation perpendicular to the lines of the body
in its ...
Th is , a body revolve in succession through equal angles , but in opposite
directions , about two A B parallel axes , it finally takes a position to which it could
have been brought by a simple translation perpendicular to the lines of the body
in its ...
Page 34
If a rigid body move in any way whatever , subject only to the condition that one of
its points remains fixed , there is always ( without exception ) one line of it through
this point common to the body in any two positions . Consider a spherical ...
If a rigid body move in any way whatever , subject only to the condition that one of
its points remains fixed , there is always ( without exception ) one line of it through
this point common to the body in any two positions . Consider a spherical ...
Page 35
Let OA , OB be two axes about which a body revolves with angular velocities w ,
w , respectively . With radius unity describe the arc AB , and in it take any point I.
Draw Ia , IB perpendicular to OA , OB respectively . Let the rotations about the two
...
Let OA , OB be two axes about which a body revolves with angular velocities w ,
w , respectively . With radius unity describe the arc AB , and in it take any point I.
Draw Ia , IB perpendicular to OA , OB respectively . Let the rotations about the two
...
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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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