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A particle of mass m is located at a distance r from the axis of rotation. What
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?
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Practice Questions
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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?
mr
mr^2
m/r
m/r^2
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The moment of inertia of a point mass is given by I = mr^2.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution:
The moment of inertia of a point mass is given by I = mr^2.
Steps: 6
Show Steps
Step 1: Understand that the moment of inertia measures how difficult it is to change the rotation of an object.
Step 2: Recognize that for a single particle (point mass), the moment of inertia depends on its mass and its distance from the axis of rotation.
Step 3: Identify the mass of the particle as 'm'.
Step 4: Identify the distance from the axis of rotation as 'r'.
Step 5: Use the formula for the moment of inertia of a point mass, which is I = m * r^2.
Step 6: Conclude that the moment of inertia of the particle is I = mr^2.
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