The masses and coordinates of four particles are indicated in thefollowing table

Question

The masses and coordinates of four particles are indicated in thefollowing table. 50 g x = 3.0cm y = 0.0cm 30 g x = 0.0cm y = 1.0cm 45 g x = 4.0cm y = -1.0cm 45 g x = 2.0cm y = -3.0cm (a) What is the rotational inertia of thiscollection about the x axis?
1 g·cm2

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

(c) What is the rotational inertia of this collection about thez axis?
3 g·cm2 50 g x = 3.0cm y = 0.0cm 30 g x = 0.0cm y = 1.0cm 45 g x = 4.0cm y = -1.0cm 45 g x = 2.0cm y = -3.0cm (a) What is the rotational inertia of thiscollection about the x axis?
1 g·cm2

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

(c) What is the rotational inertia of this collection about thez axis?
3 g·cm2 50 g x = 3.0cm y = 0.0cm 30 g x = 0.0cm y = 1.0cm 45 g x = 4.0cm y = -1.0cm 45 g x = 2.0cm y = -3.0cm

Explanation / Answer

a) k = 50 * 3*3 + 0 + 45 * 4 * 4 +45 * 2 * 2 = 1350 g - cm2 b) k =   0 + 30 * 1 *1 +45 * -1 * -1 + 45 * -3 * -3 = 480 g -cm2 c) k = 0 g - cm2

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