Normal forces and free-body diagrams

Free-body diagram of a hanging ball A free-body diagram is a geometric sketch of an object isolated from everything else except for the forces that act on it. A key idea in a free-body diagram is that every interaction the object has with the environment is replaced by the force that interaction makes on the object. That means every supporting surface, rope, spring, weight, and even friction appear on the diagram only as forces, not as sketches of the actual objects. In the example, the rope is replaced by the tension force T exerted by the rope on the ball. Read the text aloud Show Drawing force arrows
Free-body diagram of a ball on a table The “all” in “all the forces” means that, if you remove the object completely from its environment, the object behaves the same. If a ball is resting on a table, then the free-body diagram replaces the table with a force that allows the ball to remain at rest. The force from the table is called a normal force. Normal forces, also called support forces, are created at every point where two objects touch each other, such as between the ball and the table. In the example, the normal force is FN. Read the text aloud
Normal forces point perpendicular to the surface of contact between objects and always provide a push. If the surfaces are curved, then the normal force is along the line of contact between the surfaces. The diagram below shows some examples. Read the text aloud
Free-body diagram of each ball
A free-body diagram needs to be neither exact nor artistic! A good free-body diagram is just an outline of the object that shows the approximate locations and assumed directions and names of the forces acting on each single object. The above-right diagram contains two balls, and each one gets its own free-body diagram. Equally important is that each unique force must have a unique name. In the example we use subscripts to name the four different forces F1, F2, F3, and F4. Read the text aloud Show Two terms of <i>F</i><sub>3</sub>
A tricky aspect of drawing free-body diagrams is to identify all the forces that act and to include only those forces that act on the object. The phrase “on the object” is important because there may be forces that come from the object but act on something else. Read the text aloud
Which forces are drawn on a free-body diagram of an object?
  1. only those forces that are exerted by the object
  2. only those forces that are exerted on the object
  3. all forces exerted on or by the object
Show

134 Previous Page Next Page