A student sits on a rotating stool holding two $2\mathrm{.}0-$kg objects. When his arms are extended horizontally, the objects are $1\mathrm{.}0$ m from the axis of rotation and he rotates with an angular speed of $0\mathrm{.}75$ rad$/$s$.$ The moment of inertia of the student plus stool is $3\mathrm{.}0$ kg $$ m$2$ and is assumed to be constant. The student then pulls in the objects horizontally to $0\mathrm{.}45$ m from the rotation axis.