Question: Derive the relation HO = r mv + HG between the angular moment a HO and HG defined in Eqs (14.7) and (14.24), respectively.

Derive the relation HO = r × mv + HG between the angular moment a HO and HG defined in Eqs (14.7) and (14.24), respectively. The vectors r and v define, respectively, the position and velocity of the mass center G of the system of particles relative to the Newtonian frame of reference Oxyz, and m represents the total mass of the system.

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