A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |
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Page 11
... respectively parallel to the direc- tions in which P , Q , R act . Two , at least , ( AB , BE suppose ) represent the directions of the corresponding forces ; and we are at liberty to suppose that one of these ( AB suppose ) represents ...
... respectively parallel to the direc- tions in which P , Q , R act . Two , at least , ( AB , BE suppose ) represent the directions of the corresponding forces ; and we are at liberty to suppose that one of these ( AB suppose ) represents ...
Page 12
... respectively make with Or . Then the components of these forces are respectively F1 cos a 1 , F2 cos a2 , F3 cos a3 ...... F. Cos an 2 in the direction Or ; and F1 sin a , 12 FORCES ACTING IN A PLANE ON A POINT . 29-32 Any number of ...
... respectively make with Or . Then the components of these forces are respectively F1 cos a 1 , F2 cos a2 , F3 cos a3 ...... F. Cos an 2 in the direction Or ; and F1 sin a , 12 FORCES ACTING IN A PLANE ON A POINT . 29-32 Any number of ...
Page 13
... respectively equivalent to two forces acting in the lines Ox , Oy ( Art . 23 ) , and being equal to F1 cos a1 + F2 cos a2 + F3 cos a3 + 2 and F1 sin a1 + F2 sin a2 + F3 sin a3 + 1 ... ... + F cos an + F sin an . Let R be the resultant ...
... respectively equivalent to two forces acting in the lines Ox , Oy ( Art . 23 ) , and being equal to F1 cos a1 + F2 cos a2 + F3 cos a3 + 2 and F1 sin a1 + F2 sin a2 + F3 sin a3 + 1 ... ... + F cos an + F sin an . Let R be the resultant ...
Page 15
... respectively represented by the three edges of a parallelo- piped which meet , the diagonal of the parallelopiped drawn from that point to the opposite corner will represent their resultant . For let OA , OB , OC ( fig . 6 ) be the ...
... respectively represented by the three edges of a parallelo- piped which meet , the diagonal of the parallelopiped drawn from that point to the opposite corner will represent their resultant . For let OA , OB , OC ( fig . 6 ) be the ...
Page 18
... of the given forces parallel respectively to any three lines at right angles to each other must separately be equal to zero . CHAPTER III . ON FORCES WHICH ACT IN ONE PLANE 18 FORCES NOT IN A PLANE ACTING ON A POINT .
... of the given forces parallel respectively to any three lines at right angles to each other must separately be equal to zero . CHAPTER III . ON FORCES WHICH ACT IN ONE PLANE 18 FORCES NOT IN A PLANE ACTING ON A POINT .
Common terms and phrases
a₁ axle balance beam Cambridge catenary centre of gravity College components conditions of equilibrium consequently cos² curve cylinder density direction distance draw dx)² equal to zero equation equi exerts F₁ F₂ find the centre find the conditions find the position fixed axis fixed point forces acting forces F forces which act friction frustum fulcrum Hence horizontal plane inclined plane John Deighton length lever librium m₁ machine magnitude motion parallelogram particle passing perpendicular position of equilibrium pressure proportional pulley pyramid radius represent resolved respectively rest resultant couple right angles rigid body screw shew single force smooth string suppose surface suspended Taylor's theorem tension three forces transposed triangle Trinity College University of Cambridge virtual velocities wheel Wherefore ΣΖ ΣΥ ΣΧ
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