Elements of Natural Philosophy, Part 1 |
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Page 15
SZ is perpendicular to the direction of motion PY , and thus the circular locus of Z
is the hodograph turned through a right angle about S in the plane of the orbit . If
APB be a parabola , ÀY is a straight line . But if another point U be taken in YS ...
SZ is perpendicular to the direction of motion PY , and thus the circular locus of Z
is the hodograph turned through a right angle about S in the plane of the orbit . If
APB be a parabola , ÀY is a straight line . But if another point U be taken in YS ...
Page 16
The angular velocity of a point in a plane is evidently to be found by dividing the
velocity perpendicular to the radius - vector by the length of the radius - vector .
57. When the angular velocity is variable its rate of increase or diminution is
called ...
The angular velocity of a point in a plane is evidently to be found by dividing the
velocity perpendicular to the radius - vector by the length of the radius - vector .
57. When the angular velocity is variable its rate of increase or diminution is
called ...
Page 19
When a point ( moves uniformly in a circle , the perpendicular QP drawn from its
position at any A instant to a fixed diameter AA of the circle , intersects the
diameter in a point P , whose position changes by a simple harmonic motion . Q
Thus , if ...
When a point ( moves uniformly in a circle , the perpendicular QP drawn from its
position at any A instant to a fixed diameter AA of the circle , intersects the
diameter in a point P , whose position changes by a simple harmonic motion . Q
Thus , if ...
Page 20
... which the A ' given function is defined . For , in the fig . , if V be the velocity in
the circle , it may be represented by . OQ in a direction perpendicular to its own ,
and 0 V or therefore by OP and PQ in directions perpendicular 20 PRELIMINARY
.
... which the A ' given function is defined . For , in the fig . , if V be the velocity in
the circle , it may be represented by . OQ in a direction perpendicular to its own ,
and 0 V or therefore by OP and PQ in directions perpendicular 20 PRELIMINARY
.
Page 21
V or therefore by OP and PQ in directions perpendicular to those lines . That is ,
the velocity of P in the simple harmonic motion is PO V PQ ; which , when P
passes through O , becomes V. ol 00 74. The acceleration of a point executing a
...
V or therefore by OP and PQ in directions perpendicular to those lines . That is ,
the velocity of P in the simple harmonic motion is PO V PQ ; which , when P
passes through O , becomes V. ol 00 74. The acceleration of a point executing a
...
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