The moment of intertia about the z-axis of the solid shown on the right with density deltaδequals=1 is upper i subscript z baseline equals startfraction abc left parenthesis a squared plus b squared right parenthesis over 3 endfractioniz= abca2+b2 3.
a. use the parallel axis theorem to find the moment of inertia of the solid about the line parallel to the z-axis through the solid's center of mass.
b. use the parallel axis theorem and the result in part a to an x y z coordinate system has an x-axis, a y-axis, and a z-axis. a rectangular prism with one corner at (0, 0, 0) has length "a" along the positive x-axis, width "b" along the positive y-axis, and height "c" along the positive z-axis. a c b x y z find the moment of inertia of the solid about the line xequals=2 a2a, yequals=2 b2b. loading...click here to read the parallel axis theorem.