 Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.  Bulletin - Σελίδα 2371917Πλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | James Gordon MacGregor - 1887 - 540 σελίδες
...convention of signs is employed as in 103. 105. The algebraic sum of the moments of two component velocities about any point in their plane is equal to the moment of their resultant about the same point. — Let OA, OB be two component velocities whose resultant is OC, and P any point in their plane, either... | |
 | John Greaves - 1888 - 302 σελίδες
...but not in a straight line with the particle, be zero. For the algebraical sum of the moments of the forces about any point in their plane is equal to the moment of their resultant about the same point : therefore the moment of their resultant about each of the two points is zero, so that either the... | |
 | John Bascombe Lock - 1888 - 278 σελίδες
...71. PROP. The sum of the moments of any number of forces acting at a point in a plane about a given point in their plane is equal to the moment of their resultant about the same point. For the sum of the moments of any two of the forces about the point is equal to the moment of their... | |
 | John Lovell Robinson - 1888 - 378 σελίδες
...of two unlike parallel forces acting on a body ; and prove that the algebraical sum of their moments about any point in their plane is equal to the moment of their resultant about that point. 12. Forces in equilibrium act in the lines joining the centre of the inscribed circle with... | |
 | Charles Vandeleur Burton - 1890 - 330 σελίδες
...theorem : 128. If any number of coplanar forces act on a rigid body, the (algebraic) sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. Let CA, CB represent two given forces, P and Q (fig. 45), ' in line of action and magnitude, and let... | |
 | Edward Salisbury Dana - 1881 - 320 σελίδες
...area of the triangle ABC. 155. The algebraic sum of the moments of two or more forces with respect to any point in their plane is equal to the moment of their resultant. Let AB, AD (Figs. 88, 89, 90) represent two forces, P and Q ; AC, the diagonal of the parallelogram... | |
 | Sidney Luxton Loney - 1891 - 318 σελίδες
...of forces in one plane acting on a rigid body have a resultant, the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant. For let the forces be P, Q, R, S,... and let 0 be the point about which the moments are taken. Let... | |
 | Leander Miller Hoskins - 1892 - 236 σελίδες
...(not shown) its magnitude. By the principle of moments (Art. 50) the sum of the moments of AB and BC about any point in their plane is equal to the moment of AC about the same point. If the origin of moments is on ac, the moment of AC is zero ; and therefore... | |
 | Alexander Ziwet - 1893 - 216 σελίδες
...can now be stated in the following form : the algebraic sum of the moments of any tivo intersecting forces about any point in their plane is equal to...the moment of their resultant about the same point. 92. The product Rr represents twice the area of the triangle having R for its base and 5 for its vertex... | |
 | A. L. Selby - 1893 - 328 σελίδες
...done by P (Chap. Ill, § 2). Hence the sum of the moments of two or more forces about a point in this plane is equal to the moment of their resultant about the same point. Let to0 and <o be the initial and final angular velocities of the body, Hk2 its moment of inertia about... | |
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