Chapter 11347P11.54For the cube to tip over, the center of mass (CM) must rise so that itis over the axis of rotation AB. To do this, the CM must be raised adistance of a21−ej.∴−=MgaI122cubeωFrom conservation of angular momentum,43832128343212222amvMamvMaMam vMaMgavMmga=FHGIKJ=FHGIKJ=−ADCMABCD4a/3FIG. P11.54P11.55Angular momentum is conserved during theinelastic collision.MvaIMvaIva===38The condition, that the box falls off the table, is thatthe center of mass must reach its maximum heightas the box rotates, hamax=2 . Using conservationof energy:122128338216343222212IMgaa
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