Physics · Classical Mechanics
Consider a solid S made of a material of constant density in the shape of a hemisphere of unit radius: S = {(x, y, z) | x 2 + y 2 + z 2 ≤ 1, z ≥ 0}. Which of the following statements is true?
- 1The moment of inertia tensor of S is not a diagonal matrix
- 2The x-axis is a principal axis for S
- 3The centre of mass of S is at the origin
- 4The z-axis is a principal axis for S✓
Correct answer
The z-axis is a principal axis for S
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