Need help to find the mathematical model of the mechanic system(modeling dynamic sys)

[Out Of Reality]

I need to find a mathematical model of the mechanical movement of the lower
picture. The system consists of a disk with moment of inertia I, which rotates in the direction
opposite the direction of movement of arrows (counterclockwise). Through the spring
stiffness coefficient K, the disk is attached with a weight mass m, whose linear motion
in the direction of the positive y  axis. The movement of the weight is determined in terms of
equilibrium condition.

After
The pattern of the observed mechanical system to compile
in the state space.

(Click on the picture)
1505495_10202196108735792_169689619_n.jpg

Or help where can I find this task, or some similar? I think is a MIT assignment homework for modeling dynamic systems.

Thanks

[Kelly_Bramble]

Check out the following videos:

Engineering Pulley Calculations

Dynamic Pulley Systems

Static Pulley System Calculations

Belt and Pulley Calculations

[Kelly_Bramble]

Also, see the following:

http://www.engineersedge.com/mechani...hines_menu.htm