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The masses and coordinates of four particles are indicated in the following table. 50 g x...

The masses and coordinates of four particles are indicated in the following table.

50 g x = -1.0 cm y = -3.0 cm
40 g x = -5.0 cm y = 0.0 cm
35 g x = 3.0 cm y = 5.0 cm
30 g x = -3.0 cm y = 4.0 cm

(a) What is the rotational inertia of this collection about the x axis?
g·cm2

(b) What is the rotational inertia of this collection about the y axis?
g·cm2

(c) What is the rotational inertia of this collection about the z axis?
g·cm2
(d) Suppose the answers to (a) and (b) are A and B, respectively. Then what is the answer to (c) in terms of A and B?

A - B

(A + B)2    

A + B

AB

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