 Prop. To find the conditions of equilibrium of any number of forces acting in one plane upon different points of a rigid body. Let A be any point in the body, P! P2 . . . the forces acting on it, a, a 2 . . . the angles their directions make with a fixed...  Principles of mechanics - Сторінка 90автори: Thomas Minchin Goodeve - 1883Повний перегляд - Докладніше про цю книгу
 | 1836 - 366 стор.
...at the other by a given force, mentioning the hypotheses on which the investigation proceeds. 133. Find the conditions of equilibrium of any number of forces acting in the same plane upon a rigid body, and apply them to determine the position of a beam resting upon a... | |
 | John Henry Pratt - 1842 - 674 стор.
...any two of equations (1), (2), (3) are the equations to the line in which the single resultant acts. PROP. To find the conditions of equilibrium of any number of forces acting upon a rigid body in any directions. 56. We have shewn that the forces are in the general case reducible... | |
 | London univ - 1852 - 358 стор.
...lowest point within which a heavy particle will be in equilibrium in a rough hemispherical bowl. 2. Find the conditions of equilibrium of any number of forces acting in space upon a rigid body. Explain why certain of the equations of equilibrium may be dispensed with... | |
 | Isaac Todhunter - 1853 - 362 стор.
...the coordinate axes; then, by Art. (50), G> = U + M* + N*, cosX = - , cos/* = - , cosv = - . LMN 73. PROP. To find the conditions of equilibrium of any number of forces acting upon a rigid body in any directions. A system of forces acting upon a rigid body can always be reduced... | |
 | George RAWLINSON (Professor of Applied Sciences, Elphinston College, Bombay.) - 1860 - 168 стор.
...Therefore tan 0 = - , and Two expressions which determine the direction and magnitude of R respectively. 8. PROP. To find the conditions of equilibrium of any number of forces acting on a particle. Suppose the forces to foe all reduced to one (K), as in the preceding proposition, then... | |
 | William Somerville Orr - 1860 - 540 стор.
...point, will be equal to the resolved parts of their resultant along the same axes. PROPOSITION IX. To find the conditions of equilibrium of any number of forces acting upon a material point, the directions of the forces being all in the same plane, but not in the same... | |
 | Isaac Todhunter - 1866 - 386 стор.
...coincide. The convention of the present Article is that which we shall hereafter always retain. 73. To find the conditions of equilibrium of any number of forces acting on a rigid body in any directions. not balance each other and cannot separately maintain equilibrium... | |
 | Adolphe Ganot - 1868 - 886 стор.
...from the equations which determine the resultant of any number of forces (34), equations which express the conditions of equilibrium of any number of forces acting in one plane on a point : in fact, if U = 0 we must have X = 0 and Y = 0 ; that is to say, the required conditions... | |
 | J W. Mulcaster - 1871 - 242 стор.
...above equations may be written thus : — G=2 (F^where X l = P1 cos a„ and Y l = P, sin a, . 79. PROP. To find the conditions of equilibrium of any number of forces actiny on a rigid body in the same plane. It has been shown (Art. 78) that And when the forces are... | |
 | Thomas Minchin Goodeve - 1874 - 340 стор.
...&c. = o . . . (i) P! sin aj + P2 sin a2 + &c. = o . . . (2) which are the required conditions. 22. Prop. To find the conditions of equilibrium of any...points of a rigid body. Let A be any point in the body, PJ P2 . . . the forces acting on it, a, «2 . . . the angles their directions make with a fixed line... | |
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