An elementary treatise on MechanicsMacmillan, 1863 - 374 páginas |
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Página 19
... taken in order , they will be in equilibrium . Let ABC be the triangle whose sides taken in order re- present in direction and magnitude three forces applied at any point , ( A suppose ) . Complete the parallelogram BD . Then the forces ...
... taken in order , they will be in equilibrium . Let ABC be the triangle whose sides taken in order re- present in direction and magnitude three forces applied at any point , ( A suppose ) . Complete the parallelogram BD . Then the forces ...
Página 22
... taken in order , they will be in equilibrium . If the forces be represented in magnitude and direction by the sides of the polygon ABCDE , joining AC , AD we see that forces represented by AB , BC acting at A 4 are equivalent to a force ...
... taken in order , they will be in equilibrium . If the forces be represented in magnitude and direction by the sides of the polygon ABCDE , joining AC , AD we see that forces represented by AB , BC acting at A 4 are equivalent to a force ...
Página 32
... taken in such a position that the moment of the resultant is in each case positive . The proposition is readily proved for any other position of 0 . COR . 1. If the point O be taken anywhere in the line of action of the resultant R ...
... taken in such a position that the moment of the resultant is in each case positive . The proposition is readily proved for any other position of 0 . COR . 1. If the point O be taken anywhere in the line of action of the resultant R ...
Página 33
... taken with respect to any point in that plane , is equal to the algebraic sum of the moments of the several forces with respect to the same point . When the moment of the resultant vanishes , we conclude either that the resultant is nil ...
... taken with respect to any point in that plane , is equal to the algebraic sum of the moments of the several forces with respect to the same point . When the moment of the resultant vanishes , we conclude either that the resultant is nil ...
Página 36
... conditions of equi- librium then of a system of forces acting in one plane on a rigid body or system are these three : " The sums of the moments of the forces taken with respect to three points in 36 OF FORCES ACTING IN ONE PLANE .
... conditions of equi- librium then of a system of forces acting in one plane on a rigid body or system are these three : " The sums of the moments of the forces taken with respect to three points in 36 OF FORCES ACTING IN ONE PLANE .
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Términos y frases comunes
accelerating force angular points applied axis balance ball bisects body or system centre of gravity circle coefficient of friction conditions of equilibrium cos² curve cycloid cylinder determine diagonal distance elastic equal particles equation equi find the centre fixed point forces acting fulcrum funicular geometrical given heavy particles Hence horizontal plane impact inclined plane latus rectum length lever librium magnitude and direction mass middle point moving parabola parallel parallelogram parallelogram of forces parallelopiped Pcos perpendicular polygon position of equilibrium pressure pully pyramid radius represented resolved rest resultant right angles rough shew sides similar triangles sin² sliding smooth sphere straight line string passes student suppose surface system of forces system of particles tangent tension theorem three forces tion triangle uniform vertex vertical plane virtual velocity W's virtual weight
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Página 15 - If two forces acting at a point be represented in magnitude and direction by the...