There is a hollow cylinder of radius R and it is rotating with constant angular speed $\mathrm{\omega }$(about its own axis which is horizontal). There is a point mass (inside the cylinder) which rotates along with the cylinder and gets carried upward. Friction is enough such that the point mass does not slip with respect to the cylinder as long as the normal force becomes zero. If the path of the particle after it lost contact with the cylinder is as shown in the figure then,