 | Woolwich roy. military acad - 1861 - 572 Seiten
...1. Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about any point in their plane is equal to the moment of their resultant about the same point. If the algebraic sum of the moments of a system of forces in one plane be separately zero about two... | |
 | John Francis Twisden - 1863 - 390 Seiten
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fra. 52 towards the... | |
 | John Francis Twisden - 1863 - 412 Seiten
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fo M towards the same... | |
 | Samuel Newth - 1864 - 392 Seiten
...the pressure on the circle is equal to JW. 31. The moment of the resultant of two converging forces about any point in their plane is equal to the moment of their resultant. Let P and Q be forces acting on the point O, and let R be the resultant, making the angles a and /3... | |
 | John Kerr - 1866 - 358 Seiten
...Theorem. If any number of forces act upon a point in one plane, 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 A be the point of application; P, Q, S, . . the forces, and R their resultant; OQ the centre of... | |
 | 1867 - 224 Seiten
...geometrical construction. Prove that the algebraic sum of the moments of two forces which are not parallel, about any point in their plane, is equal to the moment of their resultant. 3. Find the centre of gravity of a triangular lamina (or triangle) of uniform thickness and density.... | |
 | James McDowell - 1867 - 120 Seiten
...the point A lies on the line of action of the resultant, since the sum of the moments of the forces about any point in their plane is equal to the moment of the resultant about the same point. Similarly, the points B and C lie on the line of action of the... | |
 | James Hamblin Smith - 1868 - 102 Seiten
...hands of a watch revolve, or the contrary. 6. The algebraic sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant about that point. CASE I. When the forces act in the same direction. Let A, B be two points in the lines... | |
 | John Francis Twisden - 1868 - 364 Seiten
...E, D. Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant ivith reference to that point. Let p and Q be the two pressures, and let them act towards the same... | |
 | Dublin city, univ - 1868 - 360 Seiten
...Mil. TOWNSEND. 1. Prove that, when two forces intersect, the sum or difference of their moments round any point in their plane is equal to the moment of their resultant round the same point in the plane. 2. Prove that, when two forces are parallel, the sum or difference... | |
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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. 
