Elements of Natural Philosophy, Part 1 |
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Page 8
Hence also the resultant of velocities represented by all the sides of a polygon
but one , taken in order , is represented by that one taken in the opposite
direction . When there are two velocities , or three velocities , in two or in three
rectangular ...
Hence also the resultant of velocities represented by all the sides of a polygon
but one , taken in order , is represented by that one taken in the opposite
direction . When there are two velocities , or three velocities , in two or in three
rectangular ...
Page 18
one . to one of their number , imagine , impressed upon each in composition with
its own motion , a motion equal and opposite to the motion of that one , which will
thus be reduced to rest , while the motions of the others will remain the same ...
one . to one of their number , imagine , impressed upon each in composition with
its own motion , a motion equal and opposite to the motion of that one , which will
thus be reduced to rest , while the motions of the others will remain the same ...
Page 21
The acceleration of a point executing a simple harmonic motion is at any time
simply proportional to the displacement from the middle point , but in opposite
direction , or always towards the middle point . Its maximum value is that with
which a ...
The acceleration of a point executing a simple harmonic motion is at any time
simply proportional to the displacement from the middle point , but in opposite
direction , or always towards the middle point . Its maximum value is that with
which a ...
Page 27
In the case of epochs equal , or differing by a multiple of T , the curve is a portion
of a parabola , and is gone over twice in opposite directions by the moving point
in each complete period . If the periods be not exactly as 1 : 2 the form of the path
...
In the case of epochs equal , or differing by a multiple of T , the curve is a portion
of a parabola , and is gone over twice in opposite directions by the moving point
in each complete period . If the periods be not exactly as 1 : 2 the form of the path
...
Page 31
C ' exception , viz . when the rotations about A and B are of equal amount and in
opposite directions . In B this case A'B ' is evidently parallel to AB , and therefore
the compound result is a ation only . Th is , a body revolve in succession through
...
C ' exception , viz . when the rotations about A and B are of equal amount and in
opposite directions . In B this case A'B ' is evidently parallel to AB , and therefore
the compound result is a ation only . Th is , a body revolve in succession through
...
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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