 | Augustin Privat-Deschanel - Heat - 1885 - 1306 pages
...algebraic sum of the moments of P and Q. When Q is equal to P, they compose what is called a couple, and the algebraic sum of their moments about any point in their plane Ls constant, being always equal to P . AB, which is therefore called the moment of the couple. A couple... | |
 | Dalhousie University - 1887 - 206 pages
...uniform, thin triangular plate. 9. Shew that 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 the same point. 10. Describe the common Balance ; and show that the mass of a body may be determined by means of it.... | |
 | James Gordon MacGregor - Dynamics - 1887 - 540 pages
...velocities of a moving point can be represented by the sides of a plane polygon, taken the same way round, the algebraic sum of their moments about any point in their plane is zero. (4) Show that, if the algebraic sums of the moments of the component velocities of a moving point... | |
 | James Gordon MacGregor - Dynamics - 1887 - 540 pages
...velocities of a moving point can be represented by the sides of a plane polygon, taken the same way round, the algebraic sum of their moments about any point in their plane is zero. (4) Show that, if the algebraic sums of the moments of the component velocities of a moving point... | |
 | John Lovell Robinson - Dynamics - 1888 - 378 pages
...in the line of action of the force. 186. THEOREM. — If two forces act on a body, the Algebraical Sum of their Moments about any point in their plane is equal to the Moment of their Resultant about that point. Case i. — When the Forces act at a point. Let AP and AQ be the directions of two forces... | |
 | John Greaves - Statics - 1888 - 302 pages
...36. Prop. The algebraical sum of the moments of a number of coplanar forces, acting on a particle, about any point in their plane is equal to the moment of their resultant about the same point. Let A be the position of the particle, 0 the given point. The algebraical sum of the moments of the... | |
 | John Bascombe Lock - Forces and couples - 1888 - 278 pages
...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... | |
 | Charles Vandeleur Burton - Dynamics - 1890 - 330 pages
...may now establish the following theorem : 128. If any number of coplanar forces act on a rigid body, the (algebraic) sum of their moments about any point...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 - Mechanics - 1881 - 320 pages
...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... | |
 | Thomas Wallace Wright - Mechanics - 1890 - 276 pages
...we have 0 = RX O1 + F, X Oa + F, X Ob + . . .; or, when forces acting at a point are in equilibrium, the algebraic sum of their moments about any point in their plane is zero. (b) When forces acting at a point A are in equilibrium, their moment about any point O gives... | |
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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. 
