Derive the relation H O = r ¯ × m v ¯ + H G between the angular momenta H O and H G 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.
Derive the relation H O = r ¯ × m v ¯ + H G between the angular momenta H O and H G 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.
Solution Summary: The author explains how to express the angular momentum of system of particles.
between the angular momenta 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.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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