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For a given mass, which of the following configurations will have the smallest m
For a given mass, which of the following configurations will have the smallest moment of inertia?
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Practice Questions
1 question
Q1
For a given mass, which of the following configurations will have the smallest moment of inertia?
All mass at the center
Mass distributed evenly
Mass at the edge
Mass concentrated at one end
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The moment of inertia is smallest when all mass is concentrated at the center, as it minimizes the distance from the axis of rotation.
Questions & Step-by-step Solutions
1 item
Q
Q: For a given mass, which of the following configurations will have the smallest moment of inertia?
Solution:
The moment of inertia is smallest when all mass is concentrated at the center, as it minimizes the distance from the axis of rotation.
Steps: 5
Show Steps
Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to rotate an object around an axis.
Step 2: Recognize that the moment of inertia depends on how mass is distributed relative to the axis of rotation.
Step 3: Know that the farther the mass is from the axis, the larger the moment of inertia will be.
Step 4: Realize that if all the mass is concentrated at the center, it is closest to the axis of rotation.
Step 5: Conclude that having all mass at the center minimizes the distance from the axis, resulting in the smallest moment of inertia.
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