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

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

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

Steps: 7

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.