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A solid sphere of mass M and radius R is rotating about an axis through its cent
A solid sphere of mass M and radius R is rotating about an axis through its center. What is its moment of inertia?
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Practice Questions
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Q1
A solid sphere of mass M and radius R is rotating about an axis through its center. What is its moment of inertia?
2/5 MR^2
3/5 MR^2
1/2 MR^2
1/3 MR^2
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The moment of inertia of a solid sphere about an axis through its center is I = 2/5 MR^2.
Questions & Step-by-step Solutions
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Q: A solid sphere of mass M and radius R is rotating about an axis through its center. What is its moment of inertia?
Solution:
The moment of inertia of a solid sphere about an axis through its center is I = 2/5 MR^2.
Steps: 5
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 solid sphere.
Step 3: Know the formula for the moment of inertia of a solid sphere. It is I = 2/5 MR^2.
Step 4: Recognize the variables in the formula: M is the mass of the sphere, and R is the radius of the sphere.
Step 5: Substitute the values of M and R into the formula if you have them, or use the formula as is to express the moment of inertia.
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