If you’re working with a rigid body in a plane, the body’s moment of inertia is equal to the sum of all its point masses multiplied by the square of their distances from the body’s center of mass. So, if you have a body with a mass of 10 kg and a radius of 2 m, the body’s moment of inertia would be:

I = mr^2

I = 10 kg * (2 m)^2

I = 40 kg * m^2

The moment of inertia of a rigid body is a measure of the body’s resistance to changes in its rotation. The larger the moment of inertia, the more the body resists changes in its rotation.

The moment of inertia of a point mass is just the mass of the point mass multiplied by the square of its distance from the center of mass. So, a point mass with a mass of 2 kg and a radius of 1 m would have a moment of inertia of:

I = mr^2

I = 2 kg * (1 m)^2

I = 2 kg * m^2

The moment of inertia of a rigid body can be found by adding up the moments of inertia of all the point masses that make up the body.

## Other related questions:

### Q: How do we calculate moment of inertia?

A: The moment of inertia of an object is the measure of its resistance to changes in its rotation. It is the sum of the products of the mass of each particle in the object and the square of its distance from the axis of rotation.

### Q: What is moment of inertia in construction?

A: The moment of inertia of a construction is a measure of the stiffness of the construction. It is a measure of how much the construction resists changes in its shape.

### Q: How is moment of inertia calculated in civil engineering?

A: There is no definitive answer to this question as the calculation of moment of inertia can vary depending on the specific application. However, some common methods for calculating moment of inertia include using the parallel axis theorem or the perpendicular axis theorem.

### Q: What is moment of inertia in mechanics of materials?

A: In mechanics of materials, the moment of inertia is a measure of an object’s resistance to changes in its rotation. It is the second moment of an object’s mass distribution and is a measure of an object’s resistance to changes in its rotation.