a horizontal circular platform rotates counterclockwise about its axis at the rate of 0.805 rad/s. You, with a mass of 67.3 kg, walk clockwise around the platform along its edge at the speed of 1.07 m/s with respect to the platform. Your 20.1-kg poodle also walks clockwise around 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 a mass of 91.9 kg and radius 1.87 m. Calculate the total angular momentum of the system.