The rocket is used for atmospheric research. Its weight and its moment of inertia about th...

The rocket is used for atmospheric research. Its weight and its moment of inertia about the z axis through its center of mass (including its fuel) are 10,000 lb and 10,200 slug-ft2, respectively. The rocket’s fuel weighs 6000 lb, its center of mass is located at .x = –3 ft, y = 0, z = 0, and the moment of inertia of the fuel about the axis through the fuel’s center of mass parallel to the z axis is 2200 slug-ft2. When the fuel is exhausted, what is the rocket’s moment of inertia about the axis through its new center of mass parallel to the z axis?