A top-down view of a circular stage is shown below. The stage is free to spin around a frictionless axle located at its center. The mass of the stage is NOT uniformly distributed, but the moment of inertia of the stage is known to be Istage = 0.736 kg m2. w Gra rotation axis The stage is initially not moving. A small piece of clay with an unknown mass m travels along the path shown with a speed of Vo = 1.8 m/s. The clay sticks to the stage at a radial distance r = 45.0 cm from the rotation axis. Stuck together, the clay and the stage spin around the central axis with an angular velocity w = 2.304 rad/s. a) (7 pts) Find the mass of the clay, m. Assume the clay is small enough to be considered a point-like mass.An answer to port a) is NOT needed to answer this question! With the rotation, the two remain stuck together, but the clay slides outward from the center. Now consider the angular speed of the system relative to the central axis. Does it become larger, become smaller, or remain the same