Elements of Natural Philosophy, Volume 1 |
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Page 4
Hence , LA when P moves through any space in the direction of the cord , the
pulley B B moves in the same direction , through half the space . B ( 2 ) If there be
two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...
Hence , LA when P moves through any space in the direction of the cord , the
pulley B B moves in the same direction , through half the space . B ( 2 ) If there be
two cords and two pulleys , the ends AA ' being fixed , and the other end of AB ...
Page 8
Hence if a point have , at the same time , velocities represented by OA , AC , and
Co , the sides of a triangle taken in the same order , it is at rest . Hence the
resultant of velocities represented by the sides of any closed polygon whatever ...
Hence if a point have , at the same time , velocities represented by OA , AC , and
Co , the sides of a triangle taken in the same order , it is at rest . Hence the
resultant of velocities represented by the sides of any closed polygon whatever ...
Page 9
Hence if v be the change in the velocity during the interval t , v = at , or a = t 33.
Acceleration is variable when the point's velocity does not receive equal
increments in successive equal periods of time . It is then measured by the
increment of ...
Hence if v be the change in the velocity during the interval t , v = at , or a = t 33.
Acceleration is variable when the point's velocity does not receive equal
increments in successive equal periods of time . It is then measured by the
increment of ...
Page 10
Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore
equal to V 12 R R ' and this ( $ 35 ) is the amount of the acceleration in the
circular path ABD . 37. The whole acceleration in any direction is the sum of the ...
Hence the velocity of P is to that of A as OP to CA , i.e. as V to R ; and is therefore
equal to V 12 R R ' and this ( $ 35 ) is the amount of the acceleration in the
circular path ABD . 37. The whole acceleration in any direction is the sum of the ...
Page 11
For , since the velocity increases uniformly , its value at any time before the
middle of the interval is as much less than this mean as its value at the same time
after the middle of the interval is greater than the mean : and hence its value at
the ...
For , since the velocity increases uniformly , its value at any time before the
middle of the interval is as much less than this mean as its value at the same time
after the middle of the interval is greater than the mean : and hence its value at
the ...
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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