An elementary treatise on MechanicsMacmillan, 1863 - 374 páginas |
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Página 15
... regard the proof as equally valid though the demonstration is indirect . The general principle involving all such proofs as this : If under assigned circumstances , one issue or conclusion and one only can result , and the arguments in ...
... regard the proof as equally valid though the demonstration is indirect . The general principle involving all such proofs as this : If under assigned circumstances , one issue or conclusion and one only can result , and the arguments in ...
Página 47
... regard A and B as forming one rigid body , Art . ( 44 ) ; let G be the centre of gravity of the two spheres . Hence , since the forces which keep the united mass of A and B at rest are T , T ' and W + W ' , of which the two former pass ...
... regard A and B as forming one rigid body , Art . ( 44 ) ; let G be the centre of gravity of the two spheres . Hence , since the forces which keep the united mass of A and B at rest are T , T ' and W + W ' , of which the two former pass ...
Página 64
... regard any one of the forces as equal and opposite to the resultant of all the rest . Hence , in any case in which we are discussing the conditions of equi- librium of a body or system of bodies acted on by such a system of forces , we ...
... regard any one of the forces as equal and opposite to the resultant of all the rest . Hence , in any case in which we are discussing the conditions of equi- librium of a body or system of bodies acted on by such a system of forces , we ...
Página 65
... regard the resultant pressure of the curve on the element pq of the string as equal to ( R + x ) . arc pq , acting in some direction rV intermediate to Op , Oq , and making angles a ,, B , say with p0 , q0 , -so that a , + B1 = 0 , and ...
... regard the resultant pressure of the curve on the element pq of the string as equal to ( R + x ) . arc pq , acting in some direction rV intermediate to Op , Oq , and making angles a ,, B , say with p0 , q0 , -so that a , + B1 = 0 , and ...
Página 68
... regard the resultant of the normal pressure of the curve on the element pq of the string as equal to ( R + K ) . arc pq acting in some direction rV intermediate to Op , Oq , and making an a say with Op , and the resultant friction on ...
... regard the resultant of the normal pressure of the curve on the element pq of the string as equal to ( R + K ) . arc pq acting in some direction rV intermediate to Op , Oq , and making an a say with Op , and the resultant friction on ...
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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...