The movable bracket shown may be placed at any height on the $50$ $mm$-diameter pipe. If the coefficient of static friction between the pipe and bracket is $0.30$, determine the minimum distance $x$ at which the load $P$ can be supported. Assume that the bracket is weightless.

A. $0.025$ $m$
B. $0.1667$ $m$
C. $0.1920$ $m$
D. $0.200$ $m$
E. $0.217$ $m$