Standard wedge - block problem.

Consider a wedge of mass \(m\) whose upper surface is a quarter circle and is smooth. The lower part is rough. A small block of same mass is kept at the topmost position and the initial position is shown in figure. The block slides down the wedge.

Find the minimum value of coefficient of friction between floor and lower surface of wedge so that the wedge remains stationery during the block's motion on it.

Details and assumptions
- Assume that block and wedge don't topple.
- The given information is complete. Nothing else is needed.


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