Elements of Natural Philosophy, Part 1 |
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Page 3
... as we pass from one extremity to the other . The average curvature of any
portion is its whole curvature divided by its length . Suppose a line , drawn
through any fixed point , to turn so as always to be parallel to the direction of
motion of ...
... as we pass from one extremity to the other . The average curvature of any
portion is its whole curvature divided by its length . Suppose a line , drawn
through any fixed point , to turn so as always to be parallel to the direction of
motion of ...
Page 4
( 1 ) Suppose we have a single pulley B , about which the flexible and
inextensible cord ABP . is wrapped , and IP suppose its free portions to be
parallel . If ( A being fixed ) a point P of the cord P be moved to P , it is evident that
each of the ...
( 1 ) Suppose we have a single pulley B , about which the flexible and
inextensible cord ABP . is wrapped , and IP suppose its free portions to be
parallel . If ( A being fixed ) a point P of the cord P be moved to P , it is evident that
each of the ...
Page 5
If the strings be not parallel , the relations of a single pulley or of a system of
pulleys are a little complex , but present no difficulty . 19. In the mechanical
tracing of curves , a flexible and inextensible cord is often supposed . Thus , in
drawing an ...
If the strings be not parallel , the relations of a single pulley or of a system of
pulleys are a little complex , but present no difficulty . 19. In the mechanical
tracing of curves , a flexible and inextensible cord is often supposed . Thus , in
drawing an ...
Page 7
... with velocities , or ( as we shall do farther on ) with accelerations and forces ,
consists in studying , not the velocity , acceleration , or force , directly , but its
resolved parts parallel to any three assumed directions at right angles to each
other .
... with velocities , or ( as we shall do farther on ) with accelerations and forces ,
consists in studying , not the velocity , acceleration , or force , directly , but its
resolved parts parallel to any three assumed directions at right angles to each
other .
Page 8
... for instance , represents in magniB tude and direction the space which would
be described in one second by a point moving with the first of the given velocities
— and similarly OB for the second ; from A draw AC parallel and equal to OB .
... for instance , represents in magniB tude and direction the space which would
be described in one second by a point moving with the first of the given velocities
— and similarly OB for the second ; from A draw AC parallel and equal to OB .
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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