## Elements of Natural Philosophy, Part 1 |

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Results 1-5 of 25

Page 62

A

The Moment of a

their plane , and is therefore equal to the product of either force into the shortest ...

A

**Couple**is a pair of equal forces acting in dissimilar directions in parallel lines .The Moment of a

**couple**is the sum of the moments of its forces about any point intheir plane , and is therefore equal to the product of either force into the shortest ...

Page 63

The work done by a force , or by a

the product of the moment of either into the angle ( in circular measure ) through

which the body acted on turns , if the moment remains the same in all positions ...

The work done by a force , or by a

**couple**, upon a body turning about an axis , isthe product of the moment of either into the angle ( in circular measure ) through

which the body acted on turns , if the moment remains the same in all positions ...

Page 64

If the moment be variable , the above assertion is only true for indefinitely small

displacements , but may be made accurate by employing the proper average

moment of the force or of the

...

If the moment be variable , the above assertion is only true for indefinitely small

displacements , but may be made accurate by employing the proper average

moment of the force or of the

**couple**. The proof is obvious . 207. Work done on a...

Page 72

Hence a constant

or w = MK By § 178 we see that the corresponding Force formula for linear

acceleration is ö = = M 237. For every rigid body there may be described about

any ...

Hence a constant

**couple**gives uniform acceleration of angular**Couple**velocity ;or w = MK By § 178 we see that the corresponding Force formula for linear

acceleration is ö = = M 237. For every rigid body there may be described about

any ...

Page 128

Then if Q be the

have Q = 1 4a ? sina 12 2 which gives the

the torsion of the fibres be taken into account , it will be sensibly equal to 0 ( since

...

Then if Q be the

**couple**tending to turn the bar , and W its weight , Wa ? sin o wehave Q = 1 4a ? sina 12 2 which gives the

**couple**in terms of the deflection 0 . Ifthe torsion of the fibres be taken into account , it will be sensibly equal to 0 ( since

...

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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 experience 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 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