# Exploring the Mystery of Moment of Inertia

• Benjamin_harsh
In summary, the conversation discusses the concept of moment of inertia being the same at the radius of a ring and at its center. The speaker is confused about this and asks for clarification. They mention that the references they have seen only mention moment of inertia at the center of the ring. They request more specific information about this concept.
Benjamin_harsh
Homework Statement
How can moment of inertia is same at radius of ring and at the center of it?
Relevant Equations
How can moment of inertia is same at radius of ring and at the center of it?
radius of ring and at the center of it. How is that possible?

Last edited by a moderator:
Benjamin_harsh said:
Problem Statement: How can moment of inertia is same at radius of ring and at the center of it?
Relevant Equations: How can moment of inertia is same at radius of ring and at the center of it?

radius of ring and at the center of it. How is that possible?
Not sure what you mean by MoI "at radius".
The references on that page all seem to concern MoI about the centre of the ring.
Can you be more specific about what concerns you?

## What is moment of inertia?

Moment of inertia is a measure of an object's resistance to changes in its rotation. It is calculated by multiplying the mass of an object by the square of its distance from its axis of rotation.

## How is moment of inertia related to mass and shape?

The moment of inertia is directly proportional to the mass of an object and the square of its distance from its axis of rotation. It is also affected by the distribution of mass within an object, which is determined by its shape.

## Why is moment of inertia important in physics?

Moment of inertia is important in physics because it helps us understand the rotational behavior of objects. It is used in equations to calculate an object's angular acceleration, angular momentum, and angular kinetic energy.

## How do you calculate the moment of inertia for different shapes?

The moment of inertia for common shapes, such as spheres, cylinders, and rectangles, can be found using specific formulas. For irregular shapes, the moment of inertia can be calculated using integration. There are also tables and software programs available to help with these calculations.

## What are some real-life applications of moment of inertia?

Moment of inertia is used in many real-life applications, such as designing vehicles and machinery, predicting the behavior of rotating objects in space, and understanding the stability of structures like bridges and buildings. It is also used in sports, such as figure skating and gymnastics, to control and manipulate rotational movements.

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