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" To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane. "
Mathematical Problems and Examples, Arranged According to Subjects, from the ... - Σελίδα 157
1836 - 335 σελίδες
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New Series of The Mathematical Repository, Τόμος 5

Thomas Leybourn - 1830 - 630 σελίδες
...by a separate spring ; first, when the strings are parallel ; secondly, when they are not. 2. Find the resultant of any number of parallel forces acting on a rigid body, and shew that they cannot in all Cases be reduced to a single force which shall have the same effect....

First Principles of Mechanics: With Historical and Practical Illustrations

William Whewell - 1832 - 572 σελίδες
...above given is valid. CHAP. III. THE CONDITIONS OF EQUILIBRIUM OI'' A RIGID BODY. 23. PROP, To find the resultant of any number of parallel forces acting on a rigid body. Fig. 105. Let any number of parallel forces p,, p2, p3, &c. act upon a rigid body. Let a plane yAx...

A Treatise on Analytical Statics, with Numerous Examples

Isaac Todhunter - 1853 - 362 σελίδες
...CHAPTEE IV. RESULTANT OF FORCES IN ONE PLANE. CONDITIONS OF EQUILIBRIUM. MOMENTS. 52. PROP. To find the resultant of any number of parallel forces acting on a rigid body in one plane. Let P,, P 2 , P 3 ...... denote the forces. Take any point in the plane of the forces...

The Circle of the Sciences: Mechanical philosophy

William Somerville Orr - 1860 - 540 σελίδες
...for any number of forces acting on a rigid body. PROPOSITION XVII. Toßnd the magnitude and direction of the resultant of any number of parallel forces acting on a rigid body in the same plane. Let four parallel forces, Plt P2, P3, and P4, acting in the same plane on the points...

Fundamental Ideas of Mechanics and Experimental Data

Morin (M., Arthur Jules) - 1860 - 476 σελίδες
...forces is established in a similar manner for parallel forces. 131. Centre of parallel forces.— The point of application of the resultant of any number of parallel forces, acting upon a body, depends only upon the ratio between their intensities and not upon their direction. Consequently,...

A Treatise on Analytical Statics: With Numerous Examples

Isaac Todhunter - 1866 - 386 σελίδες
...couple whose moment is CHAPTER V. FORCES IN DIFFERENT PLANES. 66. To find the magnitude and direction of the resultant of any number of parallel forces acting on a rigid body, and to determine the centre of parallel forces. Let the points of application of the forces be referred...

An elementary treatise on statics

J W. Mulcaster - 1871 - 242 σελίδες
...the same laws as that of a force. CONDITIONS OF EQUILIBRIUM. PARALLEL FORCES. 73. PROP. I. To find the resultant of any number of parallel forces acting on a rigid body in one plane. Let P l, P 2) P v &c. be any number of parallel forces acting on a rigid body in one...

Elementary Dynamics...

W. G. Willson - 1874 - 294 σελίδες
...parallel forces can be determined analytically. 79. To determine analytically the position and magnitude of the resultant of any number of parallel forces acting on a rigid body. Let the forces be Pl; P2, P3 , and let A, B, C, be points on their lines of action. Take any plane...

Questions and Exercises on Stewart's Lessons in Elementary Physics

George Anthony Hill - 1880 - 204 σελίδες
...This is true whatever be the number of the forces, and this remarkable constancy in position of the point of application of the resultant of any number . of parallel forces has caused it to be called the centre of the system of parallel forces. 198. A couple is a system of...

An elementary text-book of mechanics (kinematics and dynamics).

Joshua Joseph J. Doherty - 1881 - 240 σελίδες
...which it acts ; and it cannot be balanced by any single force. 189. Tpjmd the magnitude, direction, and point of application of the resultant of any number of parallel forces 1vhich are cither in the same, or in different planes. Let the forces be P, Q, S, T, acting at the...




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