Fig. 17.If the particle be situated anywhere within the shell theattraction is zero. Hence it follows that the attraction of a sphere made upof shells, each of uniform density, on a particle outside is the 14 SYLLABUS OF same as if the mass of the sphere were concentrated at itscentre ; whilst its… … Fig. 18. 40. The efiect of setting a sphere rotating round a diameteris to introduce on a surface particle central forces tending towardstlie axis (Art. 13). Hence, at the equator if mg represent theweight of a body, R the reaction of the earth, v the velocity ofthe body and r the earths radius, 9…
Mechanics
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