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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
V (x) vs. a hill
A bead, under the influence of gravity, slides along a frictionless wire whose height is given by the function V (x) (see Fig. 4.41). Find an expression for the bead’s horizontal acceleration,
. (It can depend on whatever quantities you need it to depend on.) You should find that the result is not the same as the
 for a particle moving in one dimension in the potential mgV (x), in which case
 = −gV’. But if you grab hold of the wire, is there any way you can move it so that the bead’s
 is equal to the
 = −gV 0 result due to the one-dimensional potential mgV (x)?

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