## Elements of Natural Philosophy |

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Page 1

Observation and experiment have afforded us the

were , from Kinematics into Dynamics , and vice versa . This is merely mentioned

now in order to show the necessity for , and the value of , the preliminary matter

we ...

Observation and experiment have afforded us the

**means**of translating , as itwere , from Kinematics into Dynamics , and vice versa . This is merely mentioned

now in order to show the necessity for , and the value of , the preliminary matter

we ...

Page 11

In other words , the average velocity ( when the acceleration is uniform ) is ,

during any interval , the arithmetical

since the velocity increases uniformly , its value at any time before the middle of

the ...

In other words , the average velocity ( when the acceleration is uniform ) is ,

during any interval , the arithmetical

**mean**of the initial and final velocities . For ,since the velocity increases uniformly , its value at any time before the middle of

the ...

Page 12

first and last values . In symbols ; if at time t = o the velocity was V , then at time t '

it is 0 = V + at . Also the space ( x ) described is equal to the product of the time by

...

**mean**: and hence its value at the middle of the interval must be the**mean**of itsfirst and last values . In symbols ; if at time t = o the velocity was V , then at time t '

it is 0 = V + at . Also the space ( x ) described is equal to the product of the time by

...

Page 16

... angular velocity is * . Even when the angular velocity is not uniform , as in ' a -

planet ' s motion , it is useful to introduce the quantity , which is then called the

PRELIMINARY .

... angular velocity is * . Even when the angular velocity is not uniform , as in ' a -

planet ' s motion , it is useful to introduce the quantity , which is then called the

**mean**angular velocity . 69 . When a point moves . uniformly , in 16PRELIMINARY .

Page 20

The Epoch in a simple harmonic motion is the interval of time which elapses from

the era of reckoning till the moving point first comes to its greatest elongation in

the direction reckoned as positive , from its

The Epoch in a simple harmonic motion is the interval of time which elapses from

the era of reckoning till the moving point first comes to its greatest elongation in

the direction reckoned as positive , from its

**mean**position or the middle of its ...### 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 important 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