A uniform rope of mass $0.40\ \text{kg}$ and length $1.0\ \text{m}$ lies on a smooth horizontal table. One end is tied to a vertical axle, and a small bead of mass $0.20\ \text{kg}$ is fixed to the other end. The axle turns, and the rope and bead go round in a straight line at a steady $5.0\ \text{rad/s}$, as shown in the figure. What is the tension in the rope at its midpoint?

Fig. 1: Top view of a uniform rope of 0.40 kg and length L of 1.0 m on a smooth table, stretched in a straight line from an axle at O to a small bead of 0.20 kg at its far end, with its midpoint marked. The rope turns about O with angular speed omega.