An elementary treatise on MechanicsMacmillan, 1863 - 374 σελίδες |
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Αποτελέσματα 1 - 5 από τα 52.
Σελίδα 21
... obtain the equivalent formulæ P2 = Q2 + R2 + 2QR cos ( Q , R ) Q2 = R2 + P2 + 2RP cos ( R , P ) R2 = P2 + Q2 + 2PQ cos ( P , Q ) , by which any one of the three forces P , Q , R is expressed in terms of the other two and the angle ...
... obtain the equivalent formulæ P2 = Q2 + R2 + 2QR cos ( Q , R ) Q2 = R2 + P2 + 2RP cos ( R , P ) R2 = P2 + Q2 + 2PQ cos ( P , Q ) , by which any one of the three forces P , Q , R is expressed in terms of the other two and the angle ...
Σελίδα 22
... proportion . Hence the converse of the proposition of this Article is not necessarily true . 26. COR . From the proposition of the previous Article we can obtain at once a theorem given by Leibnitz 22 OF FORCES ACTING IN ONE PLANE .
... proportion . Hence the converse of the proposition of this Article is not necessarily true . 26. COR . From the proposition of the previous Article we can obtain at once a theorem given by Leibnitz 22 OF FORCES ACTING IN ONE PLANE .
Σελίδα 23
Stephen Parkinson. we can obtain at once a theorem given by Leibnitz for deter- mining geometrically the resultant of any number of forces acting at a point . From any point A draw a straight line AB to represent one of the forces in ...
Stephen Parkinson. we can obtain at once a theorem given by Leibnitz for deter- mining geometrically the resultant of any number of forces acting at a point . From any point A draw a straight line AB to represent one of the forces in ...
Σελίδα 24
... obtain sin CAD AB = AD sin BAC ' sin BAD AC = BD = AD sin BAC or if AD represents a force R , we conclude that a force R acting in a direction AD is equivalent to the two forces sin CAD R sin BAC in direction AB , P ( suppose ) , sin ...
... obtain sin CAD AB = AD sin BAC ' sin BAD AC = BD = AD sin BAC or if AD represents a force R , we conclude that a force R acting in a direction AD is equivalent to the two forces sin CAD R sin BAC in direction AB , P ( suppose ) , sin ...
Σελίδα 25
... obtained . Or we may proceed thus by the aid of trigonometry . Through the point draw two lines Ax , Ay at right angles to each other in the plane of the forces , and let the directions of P , P ' , ... make an- gles a , a , ... with Ax ...
... obtained . Or we may proceed thus by the aid of trigonometry . Through the point draw two lines Ax , Ay at right angles to each other in the plane of the forces , and let the directions of P , P ' , ... make an- gles a , a , ... with Ax ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 15 - If two forces acting at a point be represented in magnitude and direction by the...