Which of the following shapes has the largest moment of inertia for the same mas

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Question: Which of the following shapes has the largest moment of inertia for the same mass and radius?

Options:

Correct Answer: Hollow sphere

Solution:

The hollow sphere has the largest moment of inertia compared to the other shapes for the same mass and radius.

Which of the following shapes has the largest moment of inertia for the same mass and radius?

Which of the following shapes has the largest moment of inertia for the same mass and radius?

Correct Answer: Hollow Sphere

Step 1: Understand what moment of inertia means. It is a measure of how difficult it is to rotate an object around an axis.
Step 2: Know that different shapes have different moments of inertia even if they have the same mass and radius.
Step 3: Identify the shapes being compared (e.g., solid sphere, hollow sphere, cylinder, etc.).
Step 4: Look up or recall the formulas for the moment of inertia for each shape.
Step 5: Compare the calculated moments of inertia for each shape using the same mass and radius.
Step 6: Determine which shape has the highest value for the moment of inertia.
Step 7: Conclude that the hollow sphere has the largest moment of inertia among the shapes compared.

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