Physics 205 Quiz 11, Sp24 Name: Directions: Assume all numbers are good to 3 significant figures unless otherwise indicated. 1. A disk of mass M and radius R has a surface density = B(2R- r), where r 1s the radial distance from the disk's center. What is the moment of inertia of this disk (in terms of M and R) for an axis that is perpendicular to the disk through the center of mass? (Hint: use M =[6dA to eliminate B.) The disk described above is given an initial velocity vy i sliding on a horizontal frictionless surface. It collides with and sticks to the end of a uniform rod of length 2R and mass 4M (see sketch of the before and after conditions below and imagine the great super glue used). A. What 1s the final velocity of the system's center of mass after the collision? before B. What is the angular velocity of the system after the collision? Hint: The rotation after the collision 1s about the center of mass of the system. Your answer will be in terms of R and v only. after