The flywheel is suspended from its center by a wire from a fixed support, and a period...

The flywheel is suspended from its center by a wire from a fixed support, and a period is measured for torsional oscillation of the flywheel about the vertical axis. Two small weights, each of mass m, are next attached to the flywheel in opposite positions at a distance r from the center. This additional mass results in a slightly longer period Write an expression for the moment of inertia I of the flywheel in terms of the measured quantities.