Physics

Problem

4\,\text{kg}

sphere is attached to a vertical rotating shaft by a light string of length

2\,\text{m}

. The string can withstand a maximum tension of

80\,\text{N}

. Calculate the maximum angular velocity of the shaft for which the string remains intact and the sphere moves in a stable horizontal circle. (Take

g = 10\,\text{m/s}^{2}

)