The disc shown in Fig. 6.59 has three equispaced slots in which are located small identical blocks each of mass m. The blocks are latched into position at a radius a and the disc rotates about a fixed...

The disc shown in Fig. 6.59 has three equispaced slots in which are located small identical blocks each of mass m. The blocks are latched into position at a radius a and the disc rotates about a fixed axis through its centre O with angular velocity Ω₀
. If the latches are released determine the angular velocity of the disc when the blocks reach the ends of their slots. The moment of inertia of the disc about an axis through O is I_o
.

Does this angular velocity depend upon friction between the blocks and their slots?