For each object, identify the form of the inertia tensor as one of the following: based on symmetry considerations: H 11 Id Is H II U L: H Ii 0 1:} A.I= I2 IE H.I= I2 [I C.I= I3 1'.) Is I3 13 H I1 [l U H II U U D. I = I1 [I E. I = I1 {1 I3 I1 Each In is nonzero and distinct from all of the other L\". In each case. explicitly identifyr the symmetries of the object which lead to your answer. All objects have uniform density unless noted otherwise. {a} [5 pts} A at trapezoid, rotating about one of the corners on the long side. {13] [5 pts} A solid cylinder: rotating about a point on the symmetry axis, but outside the cylinder