This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1886 edition. Excerpt: ...by the varying inclination of p Q.! Let c P be the crank, p Q the connecting-rod, and let A p B be the circle described by p. As before, the point Q is constrained to move in the line D B, passing through c. Draw p N perpendicular to A B, and let D and E be the extreme positions of Q, then D E = A B. Also A N is the resolved part of the motion of p in A p. „ R N „ „ „ P in K p. /. DQ = AN + RN = AR. Hence Q has the motion of R instead of that of N. If p Q remained parallel to B D throughout the motion, the point Q would have precisely the same movement as N. But such a thing could only happen if p Q were infin1te in length; hence the motion of N is often spoken of as being that of a crank with an infinite link, the word ' link' being used to express the connecting-rod. It is of course inconvenient to have a connecting-rod of any great length, but there are contrivances in practice for obtaining the so-called motion of a crank with an infinite link, and one of them has already been put before the reader in Art. 67. In order to show the effect produced by the angular position of P Q. With centre Q and radius Q P describe a circular arc, p R cutting A B in R. Draw c H at right angles to A c B, and let E be the position of Q when p arrives at the point B. Then D E is the whole space described by Q, and is called the stroke of the point Q. It follows that when c P comes to the position c H, or the crank has made one-fourth of a revolution, the point Q is a little in advance of the middle of its stroke. This fact exercises an important influence on the working of a steam-engine. In the steam-engine, Q is connected directly with the piston of the steam cylinder, and it is evident that, when Q is at either of the points D and E,...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1886 edition. Excerpt: ...by the varying inclination of p Q.! Let c P be the crank, p Q the connecting-rod, and let A p B be the circle described by p. As before, the point Q is constrained to move in the line D B, passing through c. Draw p N perpendicular to A B, and let D and E be the extreme positions of Q, then D E = A B. Also A N is the resolved part of the motion of p in A p. „ R N „ „ „ P in K p. /. DQ = AN + RN = AR. Hence Q has the motion of R instead of that of N. If p Q remained parallel to B D throughout the motion, the point Q would have precisely the same movement as N. But such a thing could only happen if p Q were infin1te in length; hence the motion of N is often spoken of as being that of a crank with an infinite link, the word ' link' being used to express the connecting-rod. It is of course inconvenient to have a connecting-rod of any great length, but there are contrivances in practice for obtaining the so-called motion of a crank with an infinite link, and one of them has already been put before the reader in Art. 67. In order to show the effect produced by the angular position of P Q. With centre Q and radius Q P describe a circular arc, p R cutting A B in R. Draw c H at right angles to A c B, and let E be the position of Q when p arrives at the point B. Then D E is the whole space described by Q, and is called the stroke of the point Q. It follows that when c P comes to the position c H, or the crank has made one-fourth of a revolution, the point Q is a little in advance of the middle of its stroke. This fact exercises an important influence on the working of a steam-engine. In the steam-engine, Q is connected directly with the piston of the steam cylinder, and it is evident that, when Q is at either of the points D and E,...
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