## Elements of Natural Philosophy, Volume 1 |

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Results 1-5 of 47

Page 1

Dynamics , therefore , is

STATICS and KINETICS . 3. In Statics the action of force in maintaining rest , or

preventing change of motion , the balancing of forces , ' or Equilibrium , is ...

Dynamics , therefore , is

**divided**into two parts , which are conveniently calledSTATICS and KINETICS . 3. In Statics the action of force in maintaining rest , or

preventing change of motion , the balancing of forces , ' or Equilibrium , is ...

Page 3

The Integral Curvature , or whole change of direction , of an arc of a plane curve ,

is the angle through which the tangent has turned as we pass from one extremity

to the other . The average curvature of any portion is its whole curvature

The Integral Curvature , or whole change of direction , of an arc of a plane curve ,

is the angle through which the tangent has turned as we pass from one extremity

to the other . The average curvature of any portion is its whole curvature

**divided**... Page 6

When the point does not move uniformly , the velocity is variable , or different at

different successive instants : but we define the average velocity during any time

as the space described in that time ,

When the point does not move uniformly , the velocity is variable , or different at

different successive instants : but we define the average velocity during any time

as the space described in that time ,

**divided**by the time ; and , the less the ... Page 9

The average acceleration during any time is the whole velocity gained during that

time ,

acceleration in the direction of motion ; and , if v = s as in § 28 , we have a = v = j .

34.

The average acceleration during any time is the whole velocity gained during that

time ,

**divided**by the time . In Newton's notation v is used to express theacceleration in the direction of motion ; and , if v = s as in § 28 , we have a = v = j .

34.

Page 10

... equal in amount to the square of the velocity

The whole acceleration will , in every case , be the resultant of the acceleration

thus measuring change of direction and the acceleration of actual velocity along

...

... equal in amount to the square of the velocity

**divided**by the radius of curvature .The whole acceleration will , in every case , be the resultant of the acceleration

thus measuring change of direction and the acceleration of actual velocity along

...

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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 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