A Treatise On Statics, With Applications to Physics
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In our eReader you can find the full English version of the book. Read A Treatise On Statics, With Applications to Physics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book A Treatise On Statics, With Applications to Physics
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But PQ = — F'Q, therefore the element of potential = •^•■^t-t > which bears the constant ratio, -=• > to the potential of the element i> « at P'. Hence the potential of the whole shell at P is -j: times the potential at F', or ^ « _ iTTypra' ^= D ' which is the same as if the shell were condensed into a particle at its centre. • j p The resultant attraction-intensity at P = ~jn (measured towards O), which gives the same result as before.
These results can also be easily deduced analytically by ...breaking up the shell into zones, as has been done (p. 246) in calculating the force-intensity at P and P'. Thus, the mass of a zone being, as in p. 246, 2irpT~rdr where r=P'Q or PQ, the potential produced " a by the zone is 2i[ypT—dr; and for the internal point the limits of c r are a+ c, while for the external point they are c+ a.
The value of V can also be deduced from the differential equation (y), Art. 329. For V depends solely on the distance, r, of the in- ternal point from the centre, and not on 6 or.
What to read after A Treatise On Statics, With Applications to Physics?
You can find similar books in the "Read Also" column, or choose other free books by George Minchin Minchin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
But PQ = — F'Q, therefore the element of potential = •^•■^t-t > which bears the constant ratio, -=• > to the potential of the element i> « at P'. Hence the potential of the whole shell at P is -j: times the potential at F', or ^ « _ iTTypra' ^= D ' which is the same as if the shell were condensed into a particle at its centre. • j p The resultant attraction-intensity at P = ~jn (measured towards O), which gives the same result as before.
These results can also be easily deduced analytically by ...breaking up the shell into zones, as has been done (p. 246) in calculating the force-intensity at P and P'. Thus, the mass of a zone being, as in p. 246, 2irpT~rdr where r=P'Q or PQ, the potential produced " a by the zone is 2i[ypT—dr; and for the internal point the limits of c r are a+ c, while for the external point they are c+ a.
The value of V can also be deduced from the differential equation (y), Art. 329. For V depends solely on the distance, r, of the in- ternal point from the centre, and not on 6 or
What to read after A Treatise On Statics, With Applications to Physics?
You can find similar books in the "Read Also" column, or choose other free books by George Minchin Minchin to read onlineMoreLess
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