Solve the given problem:
Problem: A person holds a 3-kg weight in each hand with arms outstretched while standing at rest on a lightweight platform that is free to turn about a vertical axis. Other people then set the person turning at a rate of one turn per 7.4 s. The person then lowers the weights until they are alongside the person's legs. At this point, the person is spinning once every 1.3 s.
Part A: Estimate the person's moment of inertia, given that the combined moment of inertia is that of the person plus the mass of the weights times the square of radius from the axis of rotation.
I am confused with how to determine the initial moment of inertia of person. And hint: You will need to estimate the radii where the masses are placed. Ignore the change in your moment of inertia that will come from moving your arms.