Elements of Mechanics

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A.S. Barnes & Company, 1866

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Page 237 - ... and altitude equal to the depth of the centre of gravity of the surface below the surface of the fluid.
Page 182 - ... plus the product of the area and the square of the distance between the axes.
Page 221 - This electromotive force may be resolved into two components, one parallel and the other perpendicular to I, as shown, for example, in Fig.
Page 27 - That is, if two forces are represented in direction and intensity by the adjacent sides of a parallelogram, their resultant will be represented in direction and intensity by that diagonal which passes through their point of intersection.
Page 315 - ... is equal to the weight of a column of water whose base is the section of the piston, and whose height is the distance of the level of the water in the barrel AC, above the level in the reservoir.
Page 66 - ... the straight line drawn from the vertex to the middle point of the base.
Page 39 - Lami's Theorem. If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.
Page 42 - Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle, or upon one point of a body. If, how- Fia 33...
Page 60 - Properties of Areas If a body remains in equilibrium under a system of forces, the following conditions obtain: 1 The algebraic sum of the components of the forces in any given direction is zero. 2 The algebraic sum of the moments of the forces with respect to any given axis is zero. The above statements are verbal expressions of the equations of equilibrium. In the absence of any notes to the contrary, a clockwise moment is considered positive; a counterclockwise moment, negative GRAPHICAL ANALYSIS...
Page 159 - W oo /, and therefore r varies directly as the length and inversely as the square root of the tension.

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