 | Woolwich roy. military acad - 1861 - 572 σελίδες
...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 - 412 σελίδες
...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... | |
 | John Francis Twisden - 1863 - 390 σελίδες
...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... | |
 | Samuel Newth - 1864 - 392 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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... | |
 | Dublin city, univ - 1868 - 360 σελίδες
...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... | |
 | John Francis Twisden - 1868 - 364 σελίδες
...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... | |
| |
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. 
