Tension in rope wrapped around pole

[Jzhang27143]

A rope is wrapped around a pole with one end attached to a large object and the other end pulled with a tension T. The rope does not slip. I am confused why the tension varies within the rope. How would I know that the static friction force is non-zero?

 

[ModusPwnd]

What would the rope do without that static friction force? Is your situation is equilibrium? Is the rope doing what it would do without friction? If not, then there must be friction.

 

[billy_joule]

Have you been taught about Eytelwein's formula?

 

[Delta2]

Check http://en.wikipedia.org/wiki/Eytelwein's_formula