Elements of Natural Philosophy, Part 1 |
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Page 5
Similar considerations enable us to determine the relative motions of all parts of
other systems of pulleys and cords as long as all the free parts of the cords are
parallel . Of course , if a pulley be fixed , the motion of a point of one end of the
cord ...
Similar considerations enable us to determine the relative motions of all parts of
other systems of pulleys and cords as long as all the free parts of the cords are
parallel . Of course , if a pulley be fixed , the motion of a point of one end of the
cord ...
Page 9
Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to
determine the direction of acceleration , we must draw , as below , from a fixed
point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,
KINEMATICS .
Let a point describe a circle , ABD , radius R , with uniform velocity V. Then , to
determine the direction of acceleration , we must draw , as below , from a fixed
point 0 , lines OP , OQ , etc. , a D V or representing the velocity at A ,
KINEMATICS .
Page 10
... point we have given the whole velocity and its direction , or simply the
components of the velocity in three rectangular directions , at any time , or , as is
most commonly the case , for any position ; the determination of IO
PRELIMINARY .
... point we have given the whole velocity and its direction , or simply the
components of the velocity in three rectangular directions , at any time , or , as is
most commonly the case , for any position ; the determination of IO
PRELIMINARY .
Page 11
the case , for any position ; the determination of the form of the path described ,
and of other circumstances of the motion , is a question of pure mathematics , and
in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...
the case , for any position ; the determination of the form of the path described ,
and of other circumstances of the motion , is a question of pure mathematics , and
in all cases is capable ( if not of an exact solution , at all events ) of a solution to ...
Page 25
All of each set may ( 75 ) be compounded into one simple harmonic motion of the
same phase , of determinate amplitude , in a determinate line ; and thus the
whole system is reduced to two simple fully - determined harmonic motions
differing ...
All of each set may ( 75 ) be compounded into one simple harmonic motion of the
same phase , of determinate amplitude , in a determinate line ; and thus the
whole system is reduced to two simple fully - determined harmonic motions
differing ...
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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