Josie and Peter are standing on either end of a platform of a uniform mass mp = 31 kg and length L = 3.4 m. The platform is one of those special physics platforms, so there is no friction between the platform and the floor. Josie has a mass of 44.4 kg and stands at the very left end of the platform, while Peter has a mass of 62.4 kg and stands at the very right end. Because they are bored, they decide to play catch with a heavy 11 kg ball.
Part a: If Peter has the ball on the far right edge, what is the position of the center of mass of the entire system including the people, platform, and ball?