As shown in the figure, the mass of the inclined plane is m, the inclination angle is θ, and the dynamic friction coefficient between the inclined plane and the horizontal plane is μ. A small ball with mass of M is suspended vertically by a string and is still on a smooth inclined plane. When the rope is burned, at least how much horizontal force to the right is used to pull the inclined plane from the rest, so that the ball can freely fall to the ground?

As shown in the figure, the mass of the inclined plane is m, the inclination angle is θ, and the dynamic friction coefficient between the inclined plane and the horizontal plane is μ. A small ball with mass of M is suspended vertically by a string and is still on a smooth inclined plane. When the rope is burned, at least how much horizontal force to the right is used to pull the inclined plane from the rest, so that the ball can freely fall to the ground?

Let the ball freely fall to the ground, and the height of falling is h, then the displacement of the inclined plane moving at least horizontally to the right is: x = h · 1tan θ for the ball: H = 12gt2 for the inclined plane: x = 12at2