Suppose you have a ball attached at the end of a string going in a vertical circular motion. We know that the force generated by the centripetal acceleration in a Free body diagram points toward the center of the circle as the ball is going around in a circle
In this problem the point at the top which the string becomes "slack" intuitively makes sense that tension has to be less than the m*g in order for the ball to be slack(loose) at the top. But from the free body diagram the tension should not be pointing opposite of the balls gravity at the top but should point towards the center as well. So my main confusion is that the direction of tension does not match the direction of the centripetal force generated by the tension.
Which direction does the tension act is it just a matter of perspectives?