2200bbcmzbzdzzdzzbzdzzdzρπ==∫∫∫∫23cm=(e) The center of mass is on the z-axis. αis the half-angle of the apex of the cone. is the radius of the base at z= 0 and is radius of a circle at some arbitrary zin a plane parallel to the base. rDrtanrrbbz−D, a constant ()222tandvr dzbzdzππα−2311tan332mrρππρD22303032tan321tan3bbcmzbzdzbbπρ−−∫∫zbzzdz+4cmbz=8.2200bcmbcx dxxdxxdxcxdx∫∫∫∫23cmbx=8.3The center of mass is on the z-axis. Consider the sphere with the cavity to be made of a (i) solid sphere of radius and mass asM, with its center of mass at , and (ii) a solid sphere the size of the cavity, with mass
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.