## Elements of Natural Philosophy, Part 1 |

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Page 21

... to B'A produced . We have obviously P'R = CP ( being projections of the equal

and parallel lines OS , CQ , on CR ) . Hence CŘ = CP + CP ; and therefore the

point R executes the V C

.

... to B'A produced . We have obviously P'R = CP ( being projections of the equal

and parallel lines OS , CQ , on CR ) . Hence CŘ = CP + CP ; and therefore the

point R executes the V C

**resultant**of the motions P and P. But CS , KINEMATICS.

Page 22

constant ( since the angular velocities of CQ and CQ are equal , and therefore the

angle QCQ is constant ) , and revolves with the same angular velocity as CQ or ...

**resultant**of the motions P and P. But CS , the diagonal of the parallelogram , isconstant ( since the angular velocities of CQ and CQ are equal , and therefore the

angle QCQ is constant ) , and revolves with the same angular velocity as CQ or ...

Page 23

If their periods are equal , their

phase is at every instant the mean of their phases , and whose amplitude is equal

to twice the amplitude of either multiplied by the cosine of half the difference of ...

If their periods are equal , their

**resultant**is a simple harmonic motion , whosephase is at every instant the mean of their phases , and whose amplitude is equal

to twice the amplitude of either multiplied by the cosine of half the difference of ...

Page 24

Hence the

and will be in a constant direction . But if , while their periods are the same , the

phases of the several component motions do not agree , the

...

Hence the

**resultant**displacement will vary in simple proportion to each of them ,and will be in a constant direction . But if , while their periods are the same , the

phases of the several component motions do not agree , the

**resultant**motion will...

Page 25

... differing from one another in phase by a quarter period . Now the

two simple harmonic motions , one a quarter of a period in advance of the other ,

in different lines , has been proved ( § 82 ) to be motion in an KINEMATICS . 25.

... differing from one another in phase by a quarter period . Now the

**resultant**oftwo simple harmonic motions , one a quarter of a period in advance of the other ,

in different lines , has been proved ( § 82 ) to be motion in an KINEMATICS . 25.

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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