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## Question:

Four small spheres, each of which you can regard as a point of mass 0.200 kg, are arranged in a square 0.400 m on a side and connected by light rods. Find the moment of inertia of the system about an axis through the center of the square, perpendicular to its plane.

## Answer:

The **moment of inertia** of the system about an axis **through the center** of the square, **perpendicular to its plane** is .

**Given data:**

The **mass** of each sphere is, .

**Length of side** of square is, .

The expression for the** moment of inertia** of the system about an axis through the **center of the square**, perpendicular to its plane is,

Here,

**R **is the **distance** between center of the square and the sphere. And its value is,

Then, **moment of inertia** is,

Thus, the **moment of inertia** of the system about an axis through the center of the square,** perpendicular** to its plane is .

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