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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