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What is the moment of inertia of a thin rod of length L about an axis perpendicu
What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through its center?
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Practice Questions
1 question
Q1
What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through its center?
(1/3)ML^2
(1/12)ML^2
(1/2)ML^2
ML^2
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The moment of inertia of a thin rod about an axis through its center is given by I = (1/12)ML^2.
Questions & Step-by-step Solutions
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Q
Q: What is the moment of inertia of a thin rod of length L about an axis perpendicular to it and passing through its center?
Solution:
The moment of inertia of a thin rod about an axis through its center is given by I = (1/12)ML^2.
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: Identify the shape of the object. In this case, we have a thin rod.
Step 3: Know the length of the rod, which is given as L.
Step 4: Recognize that the axis of rotation is perpendicular to the rod and passes through its center.
Step 5: Use the formula for the moment of inertia of a thin rod about an axis through its center, which is I = (1/12)ML^2.
Step 6: In the formula, M represents the mass of the rod, and L is the length of the rod.
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