Moment of Inertia of Systems Video Lessons

Example

# Problem: The masses and coordinates of four particles are indicated in the following table. 35 g x = 2.0 cm y = 3.0 cm 35 g x = 5.0 cm y = 5.0 cm 35 g x = -1.0 cm y = -4.0 cm 35 g x = 0.0 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·cm2c) 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?

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###### Problem Details

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

35 g x = 2.0 cm y = 3.0 cm

35 g x = 5.0 cm y = 5.0 cm

35 g x = -1.0 cm y = -4.0 cm

35 g x = 0.0 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?