Question

please help with number 6!

YouTube Apps Maps G Gmail Cakc Help Tec Com research intership app Turntable 7 A horizontal turntable is made from a uniform sold disk and is initially rotating with angular velocity of 8.7 rad/s about a fixed vertical axis through its center. The turntable has a radkus of 0.2 m and a moment of inertia of 0.034 kg m about the rotation axis. A plece of clay, Initially at rest, is dropped onto the turntable and sticks to it at a distance de 0.13 m from its center as shown in the figure. The final angular velocity of the turntable and the clay after the colliskon is 3 rad/s. Treat the plece of clay as a point particle and assume that there are no external torques acting on the system around the rotation axs 1) Which of these quantities are conserved during the collision The total linear momentum of the clay and the turntable. The total angular momentum of the clay and the turntable about the rotation axis. The angular momentum of the turntable about the rotation axs The angular moentum of the clay about the rotation axis. The mechanical energy of the clay and the turntable Submit 2) What is the mass of the turntable? 1.7 kg Submit 3) What is the angular momentum of the turntable about the rotation axis before the clay is dropped kg m/s Submit 0.2958 4) What is the total angular momentum of the turntable and the clay about the rotation axis after the collision 0.2958 kg m/s Submt 5) What is the total moment of inertia of the turntable and the clay about the rotation axis after the collision ,0986 kg m Submt 6) what is the mass of the clay kg Submit

Answer 1

in isial ongulan momertum Lico.034 x3.7 o.2958 Final momen of Treia Final ongulan manentum also Li Ls 2 x 0.13 Jx3 0.2958-Lo.034+mloy 3.82 kg Clay