  A configuration p in r-dimensional Euclidean space is a finite collection of
points (p^1,...,p^n) that affinely span R^r. A bar framework, denoted by G(p),
in R^r is a simple graph G on n vertices together with a configuration p in
R^r. A given bar framework G(p) is said to be universally rigid if there does
not exist another configuration q in any Euclidean space, not obtained from p
by a rigid motion, such that ||q^i-q^j||=||p^i-p^j|| for each edge (i,j) of G.
It is known that if configuration p is generic and bar framework G(p) in R^r
admits a positive semidefinite stress matrix S of rank n-r-1, then G(p) is
universally rigid. Connelly asked whether the same result holds true if the
genericity assumption of p is replaced by the weather assumption of general
position. We answer this question in the affirmative in this paper.
