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Vectors

Equilibrium of three forces
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The red body is subjected to forces( shown by the black arrows ) due to springs( or rubber bands ) attached to the three blue bodies. Understand that each of these forces is proportional to the distance between the red body and the corresponding blue body--this is a property of spring forces.

You can drag the blue bodies about and thus change any of the three forces.

You can see from the parallelograms, drawn in gray, that each force is equal and opposite to the resultant of the other two.

The magnitudes of the three forces and the angles between them are shown. Try to verify these numbers using the principles of vector addition( parallelogram law of vectors ).

This applet was inspired by an example in a book by Keith Peters.

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