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Which of the following has the smallest moment of inertia about an axis through
Which of the following has the smallest moment of inertia about an axis through its center?
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Practice Questions
1 question
Q1
Which of the following has the smallest moment of inertia about an axis through its center?
Solid cylinder
Hollow cylinder
Solid sphere
Hollow sphere
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The solid sphere has the smallest moment of inertia compared to the other shapes for the same mass and radius.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following has the smallest moment of inertia about an axis through its center?
Solution:
The solid sphere has the smallest moment of inertia compared to the other shapes for the same mass and radius.
Steps: 6
Show Steps
Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to change the rotation of an object.
Step 2: Know that different shapes have different moments of inertia even if they have the same mass and size.
Step 3: Compare the moment of inertia of a solid sphere with other shapes like a solid cylinder or a hollow sphere.
Step 4: Find the formulas for the moment of inertia for each shape. For a solid sphere, it is (2/5) * mass * radius^2.
Step 5: Calculate or look up the moment of inertia for the other shapes to see which one is smaller.
Step 6: Conclude that the solid sphere has the smallest moment of inertia compared to the other shapes.
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