A rod has length $0\mathrm{.}50$ m and moment of inertia of $7\mathrm{.}0{10}^{-3}kg*m^2.$ It rotates in a circle on a frictionless horizontal tabletop, with the rotation axis perpendicular to the length of the rod at one of its ends. When a tiny bug stands on the rod at the axis $($at the center of the circle$),$ the rod has an angular speed of $0\mathrm{.}40ra\frac{d}{s}.$ After the bug crawls out to the other end of the rod $($at the edge of the circle$),$ they rotate at $0\mathrm{.}30ra\frac{d}{s}.$ Determine the mass of the bug. Use clear, standard symbolic notation. the answer is $9\mathrm{.}3$ x $10^-3$kg