Four forces are shown acting on block A. Three forces are known but the fourth
force F is not known. If the net force on the body is zero, find the force F acting
towards the left direction.
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Forces Acting in Opposite Directions
In general, whenever forces act on an object in opposite directions—like the book on the table—the net force is equal to the difference between the two forces. In other words, one force is subtracted from the other to calculate the net force.
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Let the three known forces be F1, F2 and F3.
Unknown force=F.
The net force on the block is zero so,
F1 + F2 + F3 + F=0
F=-(F1 + F2 + F3).
The force F acting towards the left direction is -(F1 + F2 + F3).
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