Applications of Vectors - Forces


When objects are at rest or move at a constant volocity in a straight line, then the forces that act upon the object cancel each other out. In other words, there is no NET force. The net, or resultant force, can be found by adding the forces which are vectors. The counteracting force is called the equilibrant force and is the opposite vector to the resultant force. Observe the resultant force and the corresponding equilibrant force for the following forces:

Collinear forces at equilibrium
Coplanar Forces at equilibrium
Describe the forces that act on the object to keep in a state of equilibrium.
A. an aircraft flying at constant velocity
B. an object hanging on two wires
C. a box standing on a ramp
Jake and Maria are towing their freinds on toboggan. Jake is exerting a force of 65N and Maria a force of 60N. Since they are walking side by side, the ropes pull to either side of the toboggan at 40° to each other. Determine the resultant and equilibrant forces.

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The end of the boom is subject to three concurrent and coplanar forces. Determine the magnitude and orientation of the resultant force.

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