If you are already familiar with basics of circular motion, skip straight to the question. The theoretical background brought below contains clues for the answer.
In physics, circular motion is a movement of an object along the circumference of a circle or rotation along a circular path. Examples of circular motion include: an artificial satellite orbiting the Earth at constant height, a stone which is tied to a rope and is being swung in circles, a car turning through a curve in a race track, an electron moving perpendicular to a uniform magnetic field and many more.
Since the object's velocity vector is constantly changing direction, the moving object is undergoing acceleration by a centripetal force in the direction of the center of rotation. Without this acceleration, the object would move in a straight line, according to Newton's laws of motion. If we take, for example, a marble rotating inside a cone, the forces acting on the marble are shown below:
N- the normal force- is applied by the surface perpendicularly. The horizontal component of the Normal force is the centripetal force, which keeps the marble rotating around the glass circumference.
Mg- the gravitational force- applied by the earth towards the center of the earth.
If both the marble and the cone are smooth, friction can be neglected.
Question: Would the marble rise to the same height as in the wine glass, when using the coffee cup shown in the video?