Finding time in a pulley system

[Axel7]

Homework Statement

A horizontal bar with a mass of 3.2 kg and a length L of 64 cm is rigidly mounted to a vertical spindle of negligible mass such that the two objects spin together. The spindle has a diameter of 2.0 cm, and it is attached to the bar a distance of L /4 from its centre of mass. A string is wrapped around the spindle, and is pulled with a steady force of 15.0 N. The string is wrapped four times around the spindle.
If the system rotates at an angular speed of 5.5 rad/s when the string unwinds fully and drops from from the spindle, after the string has fully unwound, how long does it take for the system to come to a stop?

Homework Equations

The Attempt at a Solution

I've tried using Δω=α Δt but I don't know what α is? I'm pretty lost on what to do.

 

[haruspex]

The question implies it will come to a stop. Why would that be, do you think?

 

[Axel7]

I'm assuming there is a frictional torque that would cause it to stop, but I don't know how to use that to determine the time.

 

[haruspex]

I'm assuming there is a frictional torque that would cause it to stop, but I don't know how to use that to determine the time.

There is enough information to deduce the frictional torque.