The large gear has a mass of 5 kg and a radius of gyration of k_z = 75 mm. Gears B and C each have a mass of 200 g and a radius of gyration about the axis of their connecting shaft of 15 mm. If the gears are in mesh and C has an angular velocity of ω_C = {15j} rad/s, determine the total angular momentum for the system of three gears about point A.

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B 100 mm- 40 mm X Z 45° 40 mm A @c= (15j) rad/s GES -y C