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?
mr
mr^2
m/r
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.
