Penny Blood: Serial Sensation and Working-Class Entertainment — page 251: what you’re looking at

Machine-transcribed from the original scan — historical spelling and the odd misread are preserved.

234 MR MALLET’S [cH. XVIII. B, B’ are not shifted upon the nucleus, it follows that the com- pression of BB’ 1s eBB’. Let yz be the pressure which a unit in length of the crust would just resist, so as under its action not to move over the nucleus. Then, before motion commenced, « would depend on the adhesion, but after motion had commenced, on friction ; and “#AB is the force which the length AB would just resist. Let k be the thickness of the crust. In general uz will not be the same for BA and BA; but we will suppose it so, in which . case BA and B’A will be equal. Hence, after compression has taken place, we shall have for equilibrium, at sections passing through B and B’, Pik=pAB+ Pk, and Pik =pAB + P,k. Adding 2Pk = pBB + 2P.k, whence BB =227 fay, Therefore the compression between B and B’, which is supposed to be localized at A, being eBB, we have, compression at A = 2 —*——-4 fx ‘7 mAs ek, Respecting the force which has acted at A to give rise to this compression, we observe that it was P,/4 when the com- pression began, and P,k when it ceased. We may therefore put at ae k. Hence the work at A, which is Pi—P;, the product of these two quantities, = — k’e. it at their mean, or We will now find a limit which must exceed the greatest value that the above can-reach. It is evident that this will be given by assigning to P, the utmost value of the compressing COMIC OOOKS.EO A. inn