Solving Static Equilibrium Problems

The most common application involves the analysis of the forces acting upon a sign that is at rest.For example, consider the picture at the right that hangs on a wall.The leftward pull of cable A must balance the rightward pull of cable B and the sum of the upward pull of cable A and cable B must balance the weight of the sign.

The most common application involves the analysis of the forces acting upon a sign that is at rest.

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Consider the two objects pictured in the force diagram shown below.

Note that the two objects are at equilibrium because the forces that act upon them are balanced; however, the individual forces are not equal to each other. is the key word that is used to describe equilibrium situations.

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Describe this state using the language of physics — equations; in particular, component analysis equations. Whenever you're given a pile of vectors and you need to combine them, components is the way to go — especially if you have no expectation of any special relationships among the vectors.

The object is a on a string upon which three forces were acting. If the object is at equilibrium, then the net force acting upon the object should be 0 Newton.

Thus, if all the forces are added together as vectors, then the resultant force (the vector sum) should be 0 Newton.Thus, the net force is zero and the acceleration is 0 m/s/s.Objects at equilibrium must have an acceleration of 0 m/s/s.(Recall that the net force is "the vector sum of all the forces" or the resultant of adding all the individual forces head-to-tail.) Thus, an accurately drawn vector addition diagram can be constructed to determine the resultant. For most students, the resultant was 0 Newton (or at least very close to 0 N).This is what we expected - since the object was at equilibrium, the net force (vector sum of all the forces) should be 0 N.uses cookies to personalize content, tailor ads and improve the user experience. By using our site, you agree to our collection of information through the use of cookies. The graphical method for addition of vectors requires placing them head to tail.The sum would be the resultant vector connecting the tail of the first vector to the head of the last.The magnitude and direction of each component for the sample data are shown in the table below the diagram. The sample data used in this analysis are the result of measured data from an actual experimental setup.The difference between the actual results and the expected results is due to the error incurred when measuring force A and force B.