. Asiatic researches, or, Transactions of the Society instituted in Bengal for inquiring into the history and antiquities, the arts, sciences and literature of Asia. THE ETflCTS OF MACHINES WHEM IN MOTtOK. 14! AS*=:i;^+^^4-2fi^; and therefore 2V^'i'-\-id^'v-\-2ad v will be the fluxion of all the/id^ in the whole beam ABD- ,_ ^\'V''i; + 2d'-'v+2a^v ZZ >/ v* + 3'?^ + 6/ ^ 1 which, when a vaniihes, and the beam coincides with the line AB, becomes equal a/'^ ^ -;âand if J vanifli w=v v^T, for then D will coincide with S and A D B will become two beams revolving on their extremities. Prob. 4.
. Asiatic researches, or, Transactions of the Society instituted in Bengal for inquiring into the history and antiquities, the arts, sciences and literature of Asia. THE ETflCTS OF MACHINES WHEM IN MOTtOK. 14! AS*=:i;^+^^4-2fi^; and therefore 2V^'i'-\-id^'v-\-2ad v will be the fluxion of all the/id^ in the whole beam ABD- ,_ ^\'V''i; + 2d'-'v+2a^v ZZ >/ v* + 3'?^ + 6/ ^ 1 which, when a vaniihes, and the beam coincides with the line AB, becomes equal a/'^ ^ -;âand if J vanifli w=v v^T, for then D will coincide with S and A D B will become two beams revolving on their extremities. Prob. 4. Let ABC re- a prefent a circular fuperfices, or folid W'heel of uniform thicknefs, fo that its weight may be as its area; and Jet it revolve round its center S; it is required to determine the diftance zv of its center of gyration from S. Put Ar= the area of the -^ circle whofe diameter is unity, of ABC. Then 4 Ar* is the area of ABC, whofe fluxion is 8 A r' /â¢; and therefore 8 A r' r is the fluxion of all the pd^ in ABC. Hence w^: â ^zzrvh which exprefTion applies to every. and rzn radius flu. 8 ^flu. 8 A r r folid wheel of uniform thicknefs whofe radius is r. Prob. 5. Let ABC and ebcht two concentric circles whofe refpedive radii are R,r;âif the plane or folid wheel whofe area is a b c be taken away, and the re- maining plane or folid Aa B^C^, uniformly thick, be conceived to revolve round the center S; it is required to determine the of its center of gyration from S. Put aâ the area of the circle whofe radius is unity, then 4 A R= will be the area of the greater circle, and then. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Asiatic Society (Calcutta, India). London : [s. n. ]
Size: 1663px × 1502px
Photo credit: © Library Book Collection / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bo, bookauthorasiaticsocietycalcuttaindia, bookpublisherlondonsn
