## Elements of Natural Philosophy |

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Page 4

pulley B moves in the same direction , through - half the space . ( 2 ) If there be

two cords and two pulleys , the ends AA being fixed , and the other end of AB

being ...

**Hence**, when P moves through any space in B the direction of the cord , thepulley B moves in the same direction , through - half the space . ( 2 ) If there be

two cords and two pulleys , the ends AA being fixed , and the other end of AB

being ...

Page 8

represented by the third side , OC , of the triangle DAC .

the såme time , velocities represented by OA , AC , and Co , the sides of a ...

**Hence**the resultant of any two velocities as QA , AC , in the bgure , is a velocityrepresented by the third side , OC , of the triangle DAC .

**Hence**if a point have , atthe såme time , velocities represented by OA , AC , and Co , the sides of a ...

Page 9

Acceleration is variable when the point ' s velocity does not receive equal

increments in successive equal periods of time . It is then measured by the

increment of ...

**Hence**if v be the change in the velocity during the interval t , v = at , or a = 33 .Acceleration is variable when the point ' s velocity does not receive equal

increments in successive equal periods of time . It is then measured by the

increment of ...

Page 10

therefore equal to and this ( $ 35 ) is the amount of the acceleration in the circulat

path ABD . 37 . The whole acceleration in any direction is the sum of the

components ...

**Hence**the velocity of P is to that of A as OP to CA , i . e . as V to R ; and istherefore equal to and this ( $ 35 ) is the amount of the acceleration in the circulat

path ABD . 37 . The whole acceleration in any direction is the sum of the

components ...

Page 12

mean : and

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

...

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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