$\backslash$#$5$ A $0\mathrm{.}15$ kg meter stick is balanced with the pivot point at the $18$ cm mark. A weight of $3\mathrm{.}2$ N is hung from the shorter end at the $2$ cm mark. Where should a $0\mathrm{.}2$ kg mass be positioned in order to balance the meter stick? $\backslash$#$6$ Energy is to be stored in a $70$ kg flywheel in the shape of a uniform solid disk with radius $1\mathrm{.}2$ m $.$ To prevent structural failure of the flywheel, the maximum allowed radial acceleration of a point on its rim is $\backslash (3500\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ).$ What is the maximum kinetic energy that can be stored in the flywheel?