Elements of Natural Philosophy, Volume 1 |
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Page 4
The mathematical condition to be expressed in any case of it is simply that the
distance measured along the line from any one point to any other , remains
constant , however the line be bent . 17. The use of a cord in mechanism
presents us ...
The mathematical condition to be expressed in any case of it is simply that the
distance measured along the line from any one point to any other , remains
constant , however the line be bent . 17. The use of a cord in mechanism
presents us ...
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
When a point moves uniformly in a circle of radius R , with velocity V , the whole
acceleration is directed towards the centre , and V2 has the constant value See $
36 . R 43. With uniform acceleration in the direction of motion , a point describes ...
When a point moves uniformly in a circle of radius R , with velocity V , the whole
acceleration is directed towards the centre , and V2 has the constant value See $
36 . R 43. With uniform acceleration in the direction of motion , a point describes ...
Page 12
Of course the preceding formulae apply to a constant retardation , as in the case
of a projectile moving vertically upwards , by simply giving a a negative sign . 44.
When there is uniform acceleration in a constant direction , the path described is
...
Of course the preceding formulae apply to a constant retardation , as in the case
of a projectile moving vertically upwards , by simply giving a a negative sign . 44.
When there is uniform acceleration in a constant direction , the path described 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 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