A turntable has a mass of 4.0 kg and a radius of 0.20 m and is initially rotating at 10 rad/s. The moment of inertia of the turntable can be approximated by that of a disk (Idisk = MR2/2). A small block, initially at rest, is dropped onto the turntable and sticks to it at a distance of 0.10 m from its center. The final angular velocity of the system is 9.0 rad/s. What is the mass of the block?

An ideal otto cycle has a compression ratio of 8. at the beginning of the compression process, air is at 95 kpa and 27°c, and 750 kj/kg of heat is transferred to air during the constant-volume heat-addition process. assuming constant specific heats at room temperature, determine (a) the pressure and temperature at the end of the heat-addition process, (b) the net work output, (c) the thermal efficiency, and (d) the mean effective pressure for the cycle. (4390 kpa, 1730 k; 423 kj/kg; 56.4%; 534 kpa)