An elementary treatise on MechanicsMacmillan, 1863 - 374 páginas |
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Página 9
... equivalent to a single force represented by the algebraic sum of the several forces ; and if this sum be affected with a positive sign , the equivalent force will act in the direction which has been considered positive ; and if it be ...
... equivalent to a single force represented by the algebraic sum of the several forces ; and if this sum be affected with a positive sign , the equivalent force will act in the direction which has been considered positive ; and if it be ...
Página 12
... equivalent to the components . When a system of forces acting on a particle or body is in equilibrium , the particle has no tendency to motion , and the resultant is consequently nil . Hence when a system of forces ( as P , Q , R ...
... equivalent to the components . When a system of forces acting on a particle or body is in equilibrium , the particle has no tendency to motion , and the resultant is consequently nil . Hence when a system of forces ( as P , Q , R ...
Página 17
... the parallelogram CF , then the resultant of AC , AF will be in direction AE , and we may suppose this resultant to be substituted for them . P. M. 2 The resultant then of AC and AB is equivalent to PARALLELOGRAM OF FORCES . 17.
... the parallelogram CF , then the resultant of AC , AF will be in direction AE , and we may suppose this resultant to be substituted for them . P. M. 2 The resultant then of AC and AB is equivalent to PARALLELOGRAM OF FORCES . 17.
Página 18
Stephen Parkinson. The resultant then of AC and AB is equivalent to the resultant of some force in direction AE , together with FB which acts along AB : and this resultant must lie within the angle BAE . But by hypothesis it acts in ...
Stephen Parkinson. The resultant then of AC and AB is equivalent to the resultant of some force in direction AE , together with FB which acts along AB : and this resultant must lie within the angle BAE . But by hypothesis it acts in ...
Página 19
... equivalent to AC , CA , which will clearly balance one another . Therefore the three forces represented by AB , BC , CA , applied at any point A , will be in equilibrium . The converse of this is also true , viz . If three forces acting ...
... equivalent to AC , CA , which will clearly balance one another . Therefore the three forces represented by AB , BC , CA , applied at any point A , will be in equilibrium . The converse of this is also true , viz . If three forces acting ...
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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...