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A particle of mass m is located at a distance r from the axis of rotation. What

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Question: A particle of mass m is located at a distance r from the axis of rotation. What is the moment of inertia of this particle about the axis?

Options:

  1. mr
  2. mr^2
  3. m/r
  4. m/r^2

Correct Answer: mr^2

Solution: 

The moment of inertia of a point mass about an axis is given by I = mr^2.

A particle of mass m is located at a distance r from the axis of rotation. What

Practice Questions

Q1
A particle of mass m is located at a distance r from the axis of rotation. What is the moment of inertia of this particle about the axis?
  1. mr
  2. mr^2
  3. m/r
  4. m/r^2

Questions & Step-by-Step Solutions

A particle of mass m is located at a distance r from the axis of rotation. What is the moment of inertia of this particle about the axis?
Correct Answer: I = mr^2
  • Step 1: Understand that the moment of inertia measures how difficult it is to change the rotation of an object.
  • Step 2: Identify that the particle has a mass 'm' and is located at a distance 'r' from the axis of rotation.
  • Step 3: Recognize that for a point mass, the moment of inertia is calculated using the formula I = mr^2.
  • Step 4: Substitute the values of mass 'm' and distance 'r' into the formula to find the moment of inertia.
  • Moment of Inertia – The moment of inertia is a measure of an object's resistance to changes in its rotation about an axis, calculated as the product of mass and the square of the distance from the axis.
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