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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. "
Questions and Exercises on Stewart's Lessons in Elementary Physics - Página 92
de George Anthony Hill - 1880 - 188 páginas
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Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...respect to a point. Shew that the algebraical sum of the moments of two forces, acting at a point, about any point in their plane is equal to the moment of their resultant about that point. 6. Find the centre of gravity of a uniform triangular lamina. A parallelogram is divided...
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Elementary Treatise on Natural Philosophy ..

Augustin Privat-Deschanel - 1885 - 1156 páginas
...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...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...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....
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - 1887 - 512 páginas
...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...
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An Elementary Treatise on Kinematics and Dynamics

James Gordon MacGregor - 1887 - 512 páginas
...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...
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Elements of Dynamics (kinetics and Statics): With Numerous Exercises. A Text ...

John Lovell Robinson - 1888 - 348 páginas
...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...
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A Treatise on Elementary Statics

John Greaves - 1888 - 274 páginas
...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...
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Elementary Statics

John Bascombe Lock - 1888 - 248 páginas
...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...
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An Introduction to Dynamics: Including Kinematics, Kinetics, and Statics ...

Charles V. Burton - 1890 - 302 páginas
...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...
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A Text Book of Elementary Mechanics, for the Use of Colleges and Schools

Edward Salisbury Dana - 1881 - 291 páginas
...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...
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