Halliday, Resnick & Walker — Rotation: Problem Problem_42

The masses and coordinates of four particles are as follows: 50 g, \(x = 2.0\) cm, \(y = 2.0\) cm; 25 g, \(x = 0\), \(y = 4.0\) cm; 25 g, \(x = -3.0\) cm, \(y = -3.0\) cm; 30 g, \(x = -2.0\) cm, \(y = 4.0\) cm. What are the rotational inertias of this collection about the (a) \(x\), (b) \(y\), and (c) \(z\) axes? (d) Suppose that we symbolize the answers to (a) and (b) as \(A\) and \(B\), respectively. Then what is the answer to (c) in terms of \(A\) and \(B\)?