The angular momentum of a moving rigid body is measured about several different stationary points in the laboratory frame. It is found that the angular momentum vector is exactly the same about every point. Which of the following statements must be true regarding the motion of the body?

Step-by-step solution

The angular momentum of a rigid body about any arbitrary stationary point P is given by the relation: L _P = L _ cm + r _ cm/P M v _ cm where L _ cm is the angular momentum about the center of mass, r _ cm/P is the position vector of the center of mass with respect to point P , M is the mass, and v _ cm is the velocity of the center of mass. For the angular momentum L _P to be exactly the same about every stationary point P , the term r _ cm/P M v _ cm must be zero for all possible position vectors r _ cm/P . This