A particle is placed inside a hemispherical bowl which rotates about its vertical axis with constant angular speed `omega`. It is just prevented from sliding down when the line joining it to the centre of the hemisphere is `45^(@)` with the vertical. The radius of the bowl is `10 sqrt(2)`m. The coefficient of friction between the particle and the bowl is 0.5 and `g = 10 ms^(-2)`. Find the magnitude of `omega`.
