A problem by Nida e falak

Level 2

A heavy disc with radius R is rolling down hanging on two non-stretched string wound around the disc very tightly. The free ends of the string are attached to a fixed horizontal support. The strings are always tensed during the motion. At some instant, the angular velocity of the disc is ω, and the angle between the strings is α. Find the velocity of the center of mass of the disc at this moment.

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