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Calculate the moment of inertia of a hollow sphere of mass M and radius R about
Calculate the moment of inertia of a hollow sphere of mass M and radius R about an axis through its center.
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Practice Questions
1 question
Q1
Calculate the moment of inertia of a hollow sphere of mass M and radius R about an axis through its center.
2/5 MR^2
3/5 MR^2
2/3 MR^2
MR^2
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The moment of inertia of a hollow sphere about an axis through its center is I = 2/5 MR^2.
Questions & Step-by-step Solutions
1 item
Q
Q: Calculate the moment of inertia of a hollow sphere of mass M and radius R about an axis through its center.
Solution:
The moment of inertia of a hollow sphere about an axis through its center is I = 2/5 MR^2.
Steps: 6
Show Steps
Step 1: Understand what moment of inertia is. It measures 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 hollow sphere.
Step 3: Recall the formula for the moment of inertia of a hollow sphere. It is I = 2/5 MR^2.
Step 4: Identify the variables in the formula: M is the mass of the sphere, and R is the radius of the sphere.
Step 5: Plug in the values of M and R into the formula if they are given, or keep it in terms of M and R.
Step 6: Conclude that the moment of inertia of the hollow sphere about an axis through its center is I = 2/5 MR^2.
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