## Elements of Natural Philosophy |

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Page 20

А pendicular QP drawn from its position at any instant to a fixed diameter AA of

the circle , intersects the diameter in ' a point P , whose position changes by a

simple

of a ...

А pendicular QP drawn from its position at any instant to a fixed diameter AA of

the circle , intersects the diameter in ' a point P , whose position changes by a

simple

**harmonic**motion . Thus , if a planet or satellite , or one of the constituentsof a ...

Page 21

The Phase of a simple

designate the part of its whole period which it has reached . It is borrowed from

the popular expression phases of the moon . Thus for Simple

we ...

The Phase of a simple

**harmonic**motion at any instant is an expression used todesignate the part of its whole period which it has reached . It is borrowed from

the popular expression phases of the moon . Thus for Simple

**Harmonic**Motionwe ...

Page 22

That is , the velocity of in the simple

when P passes through O , becomes V. 74. The acceleration of a point executing

a simple

...

That is , the velocity of in the simple

**harmonic**motion is PQ oe Ő PQ ; which ,when P passes through O , becomes V. 74. The acceleration of a point executing

a simple

**harmonic**.motion is at any time simply proportional to the displacement...

Page 23

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

ece is constant ) , and revolves with the same angular velocity as CQ or cQ ' ; and

therefore the resultant motion is simple

...

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

ece is constant ) , and revolves with the same angular velocity as CQ or cQ ' ; and

therefore the resultant motion is simple

**harmonic**, of amplitude cs , and of epoch...

Page 24

A most interesting application of this case of the composition of

is to the lunar and solar tides ; which , except in tidal rivers , or long channels or

bays , follow each very nearly the simple

A most interesting application of this case of the composition of

**harmonic**motionsis to the lunar and solar tides ; which , except in tidal rivers , or long channels or

bays , follow each very nearly the simple

**harmonic**law , and produce , as the ...### What people are saying - Write a review

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### Common terms and phrases

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 expression figure fixed fluid force friction give given gravity harmonic Hence increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path period perpendicular plane portion position potential practical pressure principle produce projection proportional quantity radius reference relative remain remarkable resistance respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity vertical weight whole wire