All that matters is the constant velocity!

Classical Mechanics Level 4

There is a thin string of linear mass density $\rho$ , which is going around a pulley of radius $R$ , with constant velocity $v$ .

Determine the internal tension in the string.

Details and Assumptions

There is no net force acting on the pulley-string system.
Neglect gravity.
Take $\rho = 0.25 \text{ kgm}^{-1}, R = 0.25 \text{ m}, v = \sqrt{13} \text{ ms}^{-1}$ .