$(7)$ Chapter $9$ Problem $8.$ One end of a meter stick is pinned to a table, so the stick can rotate freely in a plane parallel to the tabletop. Two forces, both parallel to the tabletop, are applied to the stick in such a way that the net torque is zero. The first force has a magnitude of $3\mathrm{.}00$ N and is applied perpendicular to the length of the stick at the free end. The second force has a magnitude of $8\mathrm{.}00$ N and acts at a $30\mathrm{.}0$ angle with respect to the length of the stick. Where along the stick is the $8\mathrm{.}00-N$ force applied? Express this distance $($meters$)$ with respect to the end of the stick that is pinned.

$(7)$ Chapter $9$ Problem $54.$ A solid cylindrical disk has a radius of $0\mathrm{.}16$ m $.$ It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a $45-N$ force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of $90ra\frac{d}{s^2}.$ What is the moment of inertia of the disk $(kg*m^2)?$