A wheel of radius `R=10 cm` and moment of inertia `I=0.05kg m^(2)` is rotating about a fixed horizontal axis `O` with angular velocity `omega_(0)=10rads^(-1)`. A uniform riigid rod of mass `m=3 kg` and length `l=50 cm` is hinged at one end `A` such that it can rotate at end `A` in a vertical plane. End `B` of the rod is tied with a thread as shown in figure such that the rod is horizontal and is just in contact with the surface of rotating wheel. Horizontal distance between axis of rotation `O` of cylinder and `A` is equal to `a = 30 cm`.
If the wheel stops rotating after one second after the thread has burnt, calculate coefficient of friction ,`mu` between the rod and the surface of the wheel. `(g = 10 ms^(-2))`