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At 22:38 2001/10/05, Bernard Cleyet wrote:[answer snipped]
Last week brian w. suggested that a disk of the same mass and radius as
a sphere would have a greater attractive force at the center of its face
(toward the sphere on the pendulum). Rather than stick my neck out, I
pose the Sat. morn. question. (Since most of you won't read this 'till
then.)
What are the respective g fields at the surface of a sphere of radius R
and the center of a face of a disk also radius R and length 4/3 R.
(These better have the same volume, or I'm dead!)
Express in terms of rho (volume density), R, and G
P.s. If you don't want to do the triple integration for the cylinder,
the formula is in the solutions book for the latest ed. of Marian.
Sorry, I don't have the latest ed. of Marian, only a very old one, but I
couldn't resist the challenge, so I did the triple integration by hand. At
least I think I did.
My answers for g turn out to be ... (don't scroll down if you don't want to
see them yet)