Re: Sunday Morning Puzzle.

[Bernard Cleyet <anngeorg@PACBELL.NET>]

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

bc



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.

brian whatcott wrote:

> Sunday Morning Puzzler.
>
> You decide to demonstrate an attraction of masses
> using the Michell/Cavendish arrangement.
>
> You wish to maximize the deflection produced by the
> masses on each end of the balance arm, which are 15 cm lead spheres.
>
> How could you reconfigure the movable external mass for this purpose?
>
> How could you reconfigure both masses for the purpose?
>
> brian whatcott <inet@intellisys.net>  Altus OK
>                 Eureka!