I wanted to ask about the situation of a pearl that moves in a smooth vertical hoop in circular motion as described in the following sketch.
According to a simulation found in the internet , a moment after this situation , when the pearl reached the point C , the pearl keeps moving in circular motion. What causes the pearl to keep moving the in circular motion after reaching point C? (The reference frame is Inertial frame)
We already know that a(r) = V ^ 2 / Radius , at point C , v = 0 , therefore a(r) = 0. We also know that a(r) is the only acceleration of the pearl at point C.
So what makes the pearl keep moving in circular motion ? From the equations we can conclude that the pearl should stop moving at that point but according to the simulation , that's not true.