Consider the solid S made of a material of constant density in the shape of a hemisphere of unit radius:
S = {(x, y, z) | x2 + y2 + z2 ≤ 1 z ≥ 0}.
Which of the following statements is true?
1
The centre of mass of S is at the origin
2
The x-axis is a principal axis for S
3
The moment of inertia tensor of S is not a diagonal matrix
4
The z-axis is a principal axis for S
5
Question Not Attempted