The Elements of Mechanics, Comprehending Statics And Dynamics
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Geom.ip.l7S-4:,)x=— r-— +X; which leads to the equa- W2 P2 C2 lion, Y2 — X^= r-— — - (2); and this equation characterizes an hyperbola related to its principal axes. For the distance c between the centre and focus of this hyperbola, Ave have WC (Anal. Geom., p. 171,) c^^^rp^ ^^; but this is the distance of the new origin from the primitive origin, and the primitive origin IS on the pulley ; hence the pulley is at the focus of the hyperbola.
By putting first Y=0 and then X=0 in the equation (2),... we have for the semi-axes of the hyperbola, 'A-— ^^— B— — ?— • W^— P^' (W^_p3)i ' in which equations C is arbitrary.
PARALLEL FORCES. 53 SECTION II.
ON THE EQUILIBRIUM OF A SOLID BODY.
(35.) Having considered pretty much at large the equilibrium of forces, acting upon a free point, it is time now to examine the more general case in which forces act upon different points, all connected together in an invariable manner, as we shall here suppose the parts of a solid body to be.
What to read after The Elements of Mechanics, Comprehending Statics And Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by J R John Radford Young to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Geom.ip.l7S-4:,)x=— r-— +X; which leads to the equa- W2 P2 C2 lion, Y2 — X^= r-— — - (2); and this equation characterizes an hyperbola related to its principal axes. For the distance c between the centre and focus of this hyperbola, Ave have WC (Anal. Geom., p. 171,) c^^^rp^ ^^; but this is the distance of the new origin from the primitive origin, and the primitive origin IS on the pulley ; hence the pulley is at the focus of the hyperbola.
By putting first Y=0 and then X=0 in the equation (2),... we have for the semi-axes of the hyperbola, 'A-— ^^— B— — ?— • W^— P^' (W^_p3)i ' in which equations C is arbitrary.
PARALLEL FORCES. 53 SECTION II.
ON THE EQUILIBRIUM OF A SOLID BODY.
(35.) Having considered pretty much at large the equilibrium of forces, acting upon a free point, it is time now to examine the more general case in which forces act upon different points, all connected together in an invariable manner, as we shall here suppose the parts of a solid body to be.
What to read after The Elements of Mechanics, Comprehending Statics And Dynamics?
You can find similar books in the "Read Also" column, or choose other free books by J R John Radford Young to read onlineMoreLess
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