1. The problem statement, all variables and given/known data A turntable has a mass of 1 kg and a radius of 0.17 m and is initially rotating freely at 78 rpm (ωi,t = 8.168 rad/s). There are no external torques acting on the system. The moment of inertia of the turntable can be approximated by that of a disk (Idisk = MR^2/2). http://online.physics.uiuc.edu/cgi/courses/shell/common/showme.pl?courses/phys211/oldexams/exam3/sp09/fig23.gif [Broken] A small object, initially at rest, is dropped vertically onto the turntable and sticks to the turntable at a distance d of 0.10 m from its center as shown in the figure. When the small object is rotating with the turntable, the angular velocity of the turntable ωf,t is 72.7 rpm (7.613 rad/s). What is the mass of the small object that was dropped onto the turntable? 2. Relevant equations 3. The attempt at a solution Here i have got everything but the angular velocity of the object when combined with the disk.... I only know the smaller radius, the higher angular velocity, but i am not sure how to get the exact value with numerical calculation... Please Could someone help me out here to get the angular velocity of the object?