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If you choose coordinate axes that line up with some of your force vectors you will simplify later analysis. These axes do need to be perpendicular to one another, but they do not necessarily have to be horizontal or vertical. Next you will need to chose the x, y, and z axes. It is also useful to label all forces, key dimensions, and angles. This is done by removing everything but the body and drawing in all forces acting on the body.
Static equilibrium 3d problems free#
The first step in equilibrium analysis is drawing a free body diagram. In the free body diagram, provide values for any of the know magnitudes or directions for the force vectors and provide variable names for any unknowns (either magnitudes or directions). This diagram should show all the known and unknown force vectors acting on the body. The first step in finding the equilibrium equations is to draw a free body diagram of the body being analyzed. Source: Engineering Mechanics, Jacob Moore, et al. Since it is a particle, there are no moments involved like there is when it comes to rigid bodies. The equations used when dealing with particles in equilibrium are: Individual forces acting on the object, represented by force vectors, may not have zero magnitude but the sum of all the force vectors will always be equal to zero for objects in equilibrium. Therefore, if we know that the acceleration of an object is equal to zero, then we can assume that the sum of all forces acting on the object is zero. Newton’s Second Law states that the force exerted on an object is equal to the mass of the object times the acceleration it experiences. These objects may be stationary, or they may have a constant velocity. Objects in static equilibrium are objects that are not accelerating (either linear acceleration or angular acceleration).