Question

1. Consider a solid cone with uniform density p, height h, and circular base with radius R (hence mass M,sphR2). Let the vertex of the cone be the origin ofthe body frame. By symmetry, choose basis vectors e for the body frame such that the inertia tensor I, is diagonal. Will this rigid body with this body origin be an asymmetric top, a symmetric top, or a spherical top? Calculate the inertia tensor in this basis How will the inertia tensor change if we change the body origin to the center of mass while the basis vectors remain fixed? Hint:Steiner's parallel axis theorem might help with this part of the problenm.

Answer 1

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