Elements of Natural Philosophy, Volume 1 |
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Page 8
These propositions are virtually equivalent to the following obvious geometrical
construction :To compound any two ... a point moving with the first of the given
velocities — and similarly OB for the second ; from A draw AC parallel and equal
to ...
These propositions are virtually equivalent to the following obvious geometrical
construction :To compound any two ... a point moving with the first of the given
velocities — and similarly OB for the second ; from A draw AC parallel and equal
to ...
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 13
The moment of the resultant velocity of a particle about any point in the plane of
the components is equal to the algebraic sum of the moments of the components
, the proper sign of each moment depending on the direction of motion about the
...
The moment of the resultant velocity of a particle about any point in the plane of
the components is equal to the algebraic sum of the moments of the components
, the proper sign of each moment depending on the direction of motion about 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 21
Its maximum value is that with which a velocity equal to that of the circular motion
would be acquired in the time in which an arc equal to the radius is described .
V2 For in the fig . , the acceleration of l ( by $ 36 ) is Q0 along Qo , Supposing , for
...
Its maximum value is that with which a velocity equal to that of the circular motion
would be acquired in the time in which an arc equal to the radius is described .
V2 For in the fig . , the acceleration of l ( by $ 36 ) is Q0 along Qo , Supposing , for
...
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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 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