A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.887 rad/s. You, with a mass of 70.5 kilogram, walk clockwise around the platform along its edge at the speed of 1.07 meter per second with respect to the platform. Your 21.1 kilogram 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 kilogram 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 92.7 kilogram and radius 1.85 meter. Estimate the total angular momentum of the system.