A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.875 rad/s. You, with a mass of 69.5 kg, walk clockwise around the platform along its edge at the speed of 1.03 m/s with respect to the platform. Your 20.9-kg poodle also walks clockwise around the platform, but along a circle at half the platform\'s radius and at half your linear speed with respect to the platform. Your 18.5-kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform\'s radius from the center. Model the platform as a uniform disk with mass 90.5 kg and radius 1.81 m. Calculate the total angular momentum of the system.