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Repeat Problem 7.1 for kinetic energy:
a. Find the total kinetic energy TO with respect to O.
b. Find the kinetic energy TG/O of the center of mass about O.
c. Find the kinetic energy TG about the center of mass.
d. Show that TO = TG/O + TG.
Problem 7.1
Consider the three-particle system shown in Figure 7.13. The mass, position, and velocity of each particle are

a. Find the total angular momentum
b. Find the angular momentum of the center of mass about O.
c. Find the angular momentum about the center of mass.
d. Show that

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