I am thoroughly confused about centripetal force. I was doing this problem myself and when looked at the solution i was fairly confused. The problem was like this. There is a thread which is hinged to a pole and the pole is rotating with an angular velocity of 'w'. The rope has got finite mass m. What is the tension of the rope as a function of 'r' which is the distance fro the pole aloong the rope. In the solution i had this problem. They considered a diffrential length dr which is situated at a distance r from the pole. Towards the right of dr the tension is pointing to to the right, and to the left of dr the tension is pointing to the left. I wanted to know that why is there a difference in the direction of tension. When the cause of both is the same, that is centripetal accelaration.