For each of the pairs of objects below, decide which object hasthe larger moment of inertia, selecting from the following answers:A) the first B) the second C) neither D) can't tell E.g., if theanswer for the first pair is B and for the rest, D, enter BDDDDD.The objects are of uniform density. Unless otherwise indicated, theflat objects rotate about an axis perpendicular to the plane inwhich they lie.
1.(A) A thin circular sheet of material of radius a/sqrt(2)rotating about its centre, or (B) a thin square sheet of the samematerial of side a, also rotating about its centre.
2.(A) A thin square sheet of material of side a rotating aboutits centre, or (B) a thin sheet of the same material in the form ofan equilateral triangle of side a, also rotating about itscentre.
3.(A) A thin circular sheet of material of radius a/2 rotatingabout a tangent, or (B) a thin square sheet of the same material ofside a, rotating about its lower edge.
4.(A) A rod of mass m and length â„“ rotating about its centre, or(B) a rod of mass m and length 2â„“, also rotating about itscentre.
5.(A) A sphere rotating about its axis, or (B) the same sphererotating about a parallel axis, tangent to the surface.
6.(A) A cylindrical shell rolling on a table, or (B) a solidcylinder of identical mass and size, also rolling.
