Introduction.
You’ve probably seen it. The entertainer walks up to a table setting and pulls the tablecloth out from underneath it without knocking anything over. Of course, it’s all physics. At the top level, this is a story about Newton’s First and Second Laws of Motion. Objects that are at rest will remain at rest unless acted on by an external force, and \(F = ma\text{.}\) It’s impossible to move the cloth away from the dishes without exerting any force, so there will always be some movement. This means that the challenge is to try to control that force as much as possible to minimize the acceleration of the dishes.
There will always be at least two forces acting on the dishes. There will always be gravity pulling the dishes downward, and there will be a friction force that opposes the cloth from sliding out from under the dishes. In some cases, there may be an additional force between the fabric and the dishes, depending on the angle that the fabric is making with the table.