. An elementary treatise of mechanical philosophy, wirtten for the use of the undergraduate students of the University of Dublin. ced to the direction of the tangent to thegenerating curve : or which is the same thing, by resolv-ing the force of gravity into two forces, of which, one isin the direction of the normal, and the other in that of theradius of the circle; and equating this last to the centri-fugal force. Putting fi for the normal, and n, as before, for the sub-normal, the force in the direction of the former is -.£«•. This n ® which is the pressure on the surface, is equilibrated by
. An elementary treatise of mechanical philosophy, wirtten for the use of the undergraduate students of the University of Dublin. ced to the direction of the tangent to thegenerating curve : or which is the same thing, by resolv-ing the force of gravity into two forces, of which, one isin the direction of the normal, and the other in that of theradius of the circle; and equating this last to the centri-fugal force. Putting fi for the normal, and n, as before, for the sub-normal, the force in the direction of the former is -.£«•. This n ® which is the pressure on the surface, is equilibrated by the J-reaction. The central force is And this is equal and opposite to the centrifugal force. The expression for this force, already given, is —. or —-. Wherefore, -^ OF MOTION CONSTRAINED BY A SURFACE. 395 or li-=.—, i. e. the height due to the velocity of projection is equal to half the subtangent; which is the conclusion beforeobtained, respecting the velocity of projection required forthe horizontal motion of a heavy body, on a surface of revo-lution about a vertical axis. END OF VOLUME THE yn 771 ^ \30 / -, w Y 1 ^ / \
Size: 1366px × 1830px
Photo credit: © Reading Room 2020 / Alamy / Afripics
License: Licensed
Model Released: No
Keywords: ., bookcentury1800, bookide00leme, booksubjectdynamics, bookyear1835
