## Elements of Natural Philosophy, Volume 1 |

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Page 7

The first

between the two directions ; the second by using as factor the sine of the same

angle . Thus a point moving with velocity V up an Inclined KINEMATICS . 7.

The first

**component**is found by multiplying the velocity by the cosine of the anglebetween the two directions ; the second by using as factor the sine of the same

angle . Thus a point moving with velocity V up an Inclined KINEMATICS . 7.

Page 8

Or it may be resolved into

angle between its direction and that of the

any ...

Or it may be resolved into

**components**in any three rectangular directions , each**component**being found by multiplying the whole velocity by the cosine of theangle between its direction and that of the

**component**. The velocity resolved inany ...

Page 9

And as acceleration is merely a change of the

direction , it is evident that its laws of composition and resolution are the same as

those of velocity . We therefore expand the definition just given , thus : -

Acceleration ...

And as acceleration is merely a change of the

**component**velocity in a stateddirection , it is evident that its laws of composition and resolution are the same as

those of velocity . We therefore expand the definition just given , thus : -

Acceleration ...

Page 10

The whole acceleration in any direction is the sum of the

direction ) of the accelerations parallel to any three rectangular axes- each

that is , by ...

The whole acceleration in any direction is the sum of the

**components**in thatdirection ) of the accelerations parallel to any three rectangular axes- each

**component**acceleration being found by the same rule as**component**velocities ,that is , by ...

Page 11

This is true also if the total acceleration and its direction at every instant , or

simply its rectangular

and its

proportional to its ...

This is true also if the total acceleration and its direction at every instant , or

simply its rectangular

**components**, be given ... ( 6 ) If a point moves in a plane ,and its

**component**velocity parallel to each of two rectangular axes isproportional to its ...

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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 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 remarkable 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