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الكتب الكتب 1 - 10 من 30 فيbeing a constant. Let x\, y¡, z, be the co-ordinates of the centre of gravity of....
" being a constant. Let x\, y¡, z, be the co-ordinates of the centre of gravity of a flat plate having its middle plane coincident with the given cross-section. Then, by reasoning similar to that of Articles 74 and 78, we find the following results for... "
A Manual of Applied Mechanics - الصفحة 56
بواسطة William John Macquorn Rankine - 1872 - عدد الصفحات: 648
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The Mathematical Principles of Mechanical Philosophy: And Their Application ...

John Henry Pratt - 1836 - عدد الصفحات: 616
...not be so chosen, as to simplify these expressions. Paop. The first three may be simplified. 413. Let x, y, z be the co-ordinates of the centre of gravity of the system : and let M be the mass of the system. Then by p. 67, we have 2 .mx = MX, '%.my=My, 2 .mz...
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A Treatise of Mechanics, المجلد 1

Siméon-Denis Poisson - 1842
...&c., be the weights of the different parts of the body, and P the total weight, so that Likewise, let x, y, z, be the coordinates of the centre of gravity of the part of which p is the weight, x', y", r*, those of the centre of gravity of the part of which...
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A treatise of mechanics, tr., and elucidated with notes, by H.H. Harte, المجلد 1

1842
...the different parts of the body, and p the total weight, so that P = p +/>' + /»"+ & c Likewise, let x, y, z, be the coordinates of the centre of gravity of the part of which p is the weight, x', y', z', those of the centre of gravity of the part of which...
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The Mathematical Principles of Mechanical Philosophy: And Their ..., الجزء 1

John Henry Pratt - 1845 - عدد الصفحات: 620
...not be so chosen, as to simplify these expressions. PBOP. The firtt three may be simplified. *13. Let x, y, z, be the co-ordinates of the centre of gravity of the system: and let M be the mass of the system. Then by Art. 87, Ex. 25, we have 2.mai = j|fi > 2.Biy.Jfy,...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1852
...element of the mass of a body at any point x, y, z, referred to any three coordinate axes, and let x, y, z be the coordinates of the centre of gravity of the body : then X =Jd^' y= ~Jd^.' Z= fd^' - fxdm — fydm - fzdm the limits of integrations being determined...
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Solutions of the problems and riders proposed in the Senate-house ...

Cambridge univ, exam. papers - 1854
...respective inclinations of p, q, to the normal at any point of the curve f(Pi ?) = 0; prove that, c being a constant, Let X, y, z, be the coordinates of the variable point of the surface. Then, if f(p, q, r, s, ...) = </>(a;, y, z) = M, = the sum of the components...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1857
...element of the mass of a body at any point x, y, z, referred to any three coordinate axes, and let x, y, z be the coordinates of the centre of gravity of the body : then — fxdm - fydm — fzdm x ~ fdm' y ~fdm z ~fdm' the limits of integrations being determined...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1859
...element of the mass of a body at any point x, y, z, referred to any three coordinate axes, and let x, y, z be the coordinates of the centre of gravity of the body : then — fxdm — fydm — fzdm. ~ fdm " fdm ~ fdm the limits of integrations being determined...
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A collection of examples in pure and mixed mathematics, with hints and ...

Alfred Wrigley - 1862
...element of the mass of a body at any point x, y, z, referred to any three coordinate axes, and let x, y, z be the coordinates of the centre of gravity of the body : then — fxdm X= fdm' - fydm y== fdm ' — fzdm the limits of integrations being determined...
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A Treatise on Analytical Statics, with ... Examples

Isaac Todhunter - 1866 - عدد الصفحات: 364
...be the co-ordinates of one angular point; X 2i y»i z 2 the co-ordinates of another; and so on; let x, y, ~z be the co-ordinates of the centre of gravity of the pyramid: then *=•£(*,+*8+*,+*«). (5) To find the centre of gravity of any pyramid having a...
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