3. A smooth horizontal rod of length ( ell=1 mathrm{~m} ) and mass ( M=3 mathrm{~kg} ) with a sleeve of mass ( m=1 mathrm{~kg} ) initially getting at end ( A ) is rotated with an initial angular velocity ( omega_{0}=10 mathrm{rad} / mathrm{s} ). When the sleeve reaches the other end ( B ), which of the following options is/are correct. (Take ( g=10 mathrm{~m} / mathrm{s}^{2} ) )(A) The velocity of sleeve relative to the rod is ( 5 sqrt{2} mathrm{~m} / mathrm{s} ).(B) The velocity of sleeve relative to the ground is ( 5 sqrt{3} mathrm{~m} / mathrm{s} )(C) The normal force acting on the sleeve is ( 25 sqrt{2} ) newton(D) The normal force acting on the sleeve is ( 15 sqrt{6} ) newton.