Elements of Natural Philosophy, Part 1 |
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Page 4
... however the line be bent . 17. The use of a cord in mechanism presents us with
many practical applications of this theory , which are in general extremely simple
; although curious , and not always very easy , geometrical problems occur in ...
... however the line be bent . 17. The use of a cord in mechanism presents us with
many practical applications of this theory , which are in general extremely simple
; although curious , and not always very easy , geometrical problems occur in ...
Page 16
A further instance of this use of the idea of angular velocity may now be given , to
solve the problem of finding the hodograph ( § 35 ) for any case of motion in
which the acceleration is directed to a fixed point , and varies inversely as the ...
A further instance of this use of the idea of angular velocity may now be given , to
solve the problem of finding the hodograph ( § 35 ) for any case of motion in
which the acceleration is directed to a fixed point , and varies inversely as the ...
Page 28
Such an investigation is sufficient as a solution of the problem , —to find a
complex harmonic function expressing a given arbitrary periodic function , —
when once we are assured that the problem is possible ; and when we have this
assurance ...
Such an investigation is sufficient as a solution of the problem , —to find a
complex harmonic function expressing a given arbitrary periodic function , —
when once we are assured that the problem is possible ; and when we have this
assurance ...
Page 30
... velocity of AB AB OD be w , that of CD is A similar process is of course OB CD
applicable to any combination of machinery , and we shall find it very convenient
when we come to apply the principle of work in various problems of Mechanics .
... velocity of AB AB OD be w , that of CD is A similar process is of course OB CD
applicable to any combination of machinery , and we shall find it very convenient
when we come to apply the principle of work in various problems of Mechanics .
Page 36
But the general solution of this problem demands higher analysis than can be
admitted into the present treatise . 112. We shall next consider the most general
possible motion of a rigid body of which no point is fixed - and first we must prove
...
But the general solution of this problem demands higher analysis than can be
admitted into the present treatise . 112. We shall next consider the most general
possible motion of a rigid body of which no point is fixed - and first we must prove
...
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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