A uniform rod, supported and pivoted at its midpoint, but initially at rest, has a mass of 83 g and a length 8 cm. A piece of clay with mass 35 g and velocity 2 m/s hits the very top of the rod, gets stuck and causes the clay-rod system to spin about the pivot point O at the center of the rod in a horizontal plane.
After the collisions the clay-rod system has an angular velocity ω about the pivot. With respect to the pivot point O, what is the magnitude of the initial angular momen-tum Li of the clay-rod system?