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A uniform rod of length L and mass M is rotated about its center. What is its mo
A uniform rod of length L and mass M is rotated about its center. What is its moment of inertia?
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Practice Questions
1 question
Q1
A uniform rod of length L and mass M is rotated about its center. What is its moment of inertia?
1/3 ML^2
1/12 ML^2
1/2 ML^2
ML^2
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The moment of inertia of a uniform rod about its center is I = 1/12 ML^2.
Questions & Step-by-step Solutions
1 item
Q
Q: A uniform rod of length L and mass M is rotated about its center. What is its moment of inertia?
Solution:
The moment of inertia of a uniform rod about its center is 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, it is a uniform rod.
Step 3: Know the length of the rod, which is given as L, and its mass, which is given as M.
Step 4: Recognize that we are calculating the moment of inertia about the center of the rod.
Step 5: Use the formula for the moment of inertia of a uniform rod about its center, which is I = 1/12 ML^2.
Step 6: Substitute the values of M and L into the formula if needed, but the formula itself gives the answer directly.
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