question_answer

A uniform disc of mass M and radius R is hanging from a rigid support and is free to rotate about a horizontal axis passing through its center in vertical plane as shown. A particle of mass m falls vertically and hits the disc (at a point at horizontal diameter) with a velocity \[{{v}_{0}}\](in m/s) and sticks to it. The disc just completes the vertical circular motion afterwards. Find \[{{v}_{0}}\] (in m/s) \[\left( M=7\text{ }kg,\text{ }m=1\text{ }kg,\text{ }R=10\text{ }cm \right).\]

Answer:

3.00