Study of Steam And the Marine Engine for Young Sea Officers in H.M. Navy ...

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Study of Steam And the Marine Engine for Young Sea Officers in H.M. Navy ...
S. M. Saxby
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C by the law of forces. — Given A cAb and jLdAb, and the weight twenty tons.
Draw the parallelogram Abdc A, making A 6 = 20 from any scale of equal parts, make b d parallel to A c, and d c parallel to A 6. Then A d divides the parallelogram into two triangles, in which, in AAcd, the side c d = A 6 = 20, and we wish to find A c, which will represent the tension of the chain A G.
Let L cAd = 38°3' Z. d A 6 = 22^ 24' Then, because the right line A d falls on the two parallel 112 THE MARINE ENGINE.
...
right lines Ac,dby the alternate angles are equal (Euclid I.
29) ; therefore Z. A d c = 22^ 24' (24> Then, by rule of sines (45), Aa mxi L cAdSff" y . arco 0-210173 Is to side cd 20"* ... 1-301030 So is sin Z. cd A 22° 24' . . . 9-581005 ^^^ .
To side A c . . . = 1-092208 = 12-37 N.B. — If the angles had not otherwise been given, A B, A C, B C being known would have given them (62).
2nd. To find the tension of AG by the rules for the lever. — In this case it will be obvious, that whether 20 tons be suspended from A towards D, or from D itself, its effect would be the same, and because two forces are act- ing, one on each side of A B, so, to preserve equilibrium, the axis of moment must be the point B.


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