An elementary treatise on MechanicsMacmillan, 1863 - 374 páginas |
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Página 36
... equation by AO , then P.AO sin PAO + Q. AO sin QAO = R. AO sin RAO , or P. Op + Q . Oq = R . Or ; a result which expresses that the sum of the moments of two forces about any point in the plane in which they act is equal to the moment ...
... equation by AO , then P.AO sin PAO + Q. AO sin QAO = R. AO sin RAO , or P. Op + Q . Oq = R . Or ; a result which expresses that the sum of the moments of two forces about any point in the plane in which they act is equal to the moment ...
Página 38
... Y- ( y — b ) X } - must = 0 for any and every value of a , b — which can only be satisfied by having each of the conditions of ( a ) satisfied . COR . 1. We may further interpret the equations of 38 OF FORCES ACTING IN ONE PLANE .
... Y- ( y — b ) X } - must = 0 for any and every value of a , b — which can only be satisfied by having each of the conditions of ( a ) satisfied . COR . 1. We may further interpret the equations of 38 OF FORCES ACTING IN ONE PLANE .
Página 39
Stephen Parkinson. COR . 1. We may further interpret the equations of con- dition ( a ) thus , -ΣX = 0 , ΣY = 0 , indicate ... equation ( i ) in the form of a , x ' ΣY - y ' ΣX = Σ ( x Y− yX ) . If be the angle which R makes with Ax , we ...
Stephen Parkinson. COR . 1. We may further interpret the equations of con- dition ( a ) thus , -ΣX = 0 , ΣY = 0 , indicate ... equation ( i ) in the form of a , x ' ΣY - y ' ΣX = Σ ( x Y− yX ) . If be the angle which R makes with Ax , we ...
Página 41
... equations for determining them by taking the conditions of equilibrium of each rod . It will not unfre- quently be the case , however , that the symmetry of the parts of the system will enable us to assign at once the direction or ...
... equations for determining them by taking the conditions of equilibrium of each rod . It will not unfre- quently be the case , however , that the symmetry of the parts of the system will enable us to assign at once the direction or ...
Página 45
... equations of condition must be sought for from geometrical considerations ; and whenever the weight of a body is one of the forces to be taken into account it must always be sup- posed to act in a vertical line passing through the ...
... equations of condition must be sought for from geometrical considerations ; and whenever the weight of a body is one of the forces to be taken into account it must always be sup- posed to act in a vertical line passing through the ...
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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...