Elements of the Theory of the Newtonian Potential Function |
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Page vii
... attraction due to a spherical shell whose density at any point depends upon the distance of the point from the centre · 14. The attraction at any point due to any given mass 15. The component in any direction of the attraction at a ...
... attraction due to a spherical shell whose density at any point depends upon the distance of the point from the centre · 14. The attraction at any point due to any given mass 15. The component in any direction of the attraction at a ...
Page viii
... attraction at the point ( x , y , z ) Extension of the statement of the last section The potential function due to a given attracting mass is everywhere finite , and the statements of the two pre- ceding sections hold good for points ...
... attraction at the point ( x , y , z ) Extension of the statement of the last section The potential function due to a given attracting mass is everywhere finite , and the statements of the two pre- ceding sections hold good for points ...
Page 1
... attracting masses , ' is meant the limit which would be approached by the value of the attraction on a sphere of unit mass centred at P if the radius of the sphere were made continually smaller and smaller while its mass remained ...
... attracting masses , ' is meant the limit which would be approached by the value of the attraction on a sphere of unit mass centred at P if the radius of the sphere were made continually smaller and smaller while its mass remained ...
Page 2
... masses concentrated at points at the unit distance apart . Using these units , k in the expression given above becomes 1 , and the attraction between two particles of mass m1 and m 。 concentrated at points r units apart is mim2 . 2.2 4 ...
... masses concentrated at points at the unit distance apart . Using these units , k in the expression given above becomes 1 , and the attraction between two particles of mass m1 and m 。 concentrated at points r units apart is mim2 . 2.2 4 ...
Page 3
... attraction at P are X : = mi cos ai M2 COS α2 + r2 2 in the direction ... mass of the unit of length of a uniform straight wire AB of length 1 , and ... ATTRACTION OF GRAVITATION . 3 SECTION PAGE The attraction between two straight wires 22.
... attraction at P are X : = mi cos ai M2 COS α2 + r2 2 in the direction ... mass of the unit of length of a uniform straight wire AB of length 1 , and ... ATTRACTION OF GRAVITATION . 3 SECTION PAGE The attraction between two straight wires 22.
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Common terms and phrases
angle attracting mass attracting matter attraction due average force Ax Ay axis centre charge closed surface component concentrated conductor conical surface constant coördinate axes cylinder direction distance distribution of matter divide dx dy dz electricity element empty space equal equipotential surfaces Gauss's Theorem Green's Theorem homœoid inner surface inside integral of normal integral signs interior normal Laplace's Equation line of action lines of force M₁ NEWTONIAN POTENTIAL normal attraction taken P₁ parallel particle perpendicular Poisson's Equation potential function due prisms prove quantity of matter r₁ radii region repelling matter resultant attraction resultant force Section shell whose density smaller and smaller solid angle space coördinates sphere of radius spherical shell spherical surface surface density surface integral tion triple integral tube of force unit mass V₁ V₂ vertex whence zero πλ πρ
Popular passages
Page 1 - Every particle in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the two particles and inversely proportional to the square of the distance between them.
Page 1 - Every body in the universe attracts every other body with a force which is directly proportional to the product of their masses and inversely proportional to the. square of the distance between them.