$1)$ Given a uniform one$-$meter long stick with a mass of $0\mathrm{.}100$ kg $($see the figure$).$ A mass of $0\mathrm{.}020$ kg is placed $5\mathrm{.}00$ cm away from the end on the stick on the table. How far can the center of mass of the stick be moved to the right of the edge of the table before the stick begins to rotate?

A$)5\mathrm{.}00$ cm

B$)7\mathrm{.}50$ cm

D$)37\mathrm{.}5$ cm

C$)8\mathrm{.}33$ cm

E$)41\mathrm{.}7$ cm