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which are rules used when adding forces together?
subtract forces in opposite directions.
forces not in the same direction or in opposite directions cannot be directly added together.
the smallest forces are never counted.
add forces in the same direction.
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- Forces are vectors. When forces act in the same direction, their magnitudes add up. For example, if two forces \(F_1\) and \(F_2\) act in the same direction, the resultant force \(F = F_1+F_2\).
- When forces act in opposite directions, the resultant force is the difference of their magnitudes. If \(F_1>F_2\) and they are in opposite directions, \(F = F_1 - F_2\) (direction of \(F_1\)).
- Forces that are not in the same or opposite directions (e.g., at an angle \(\theta
eq0^{\circ}\) or \(180^{\circ}\)) cannot be directly added as scalars. We need to use vector addition methods like the parallelogram law or component - method.
- The statement “The smallest forces are never counted” is incorrect. All forces contribute to the resultant force depending on their magnitude and direction.
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Subtract forces in opposite directions, Forces not in the same direction or in opposite directions cannot be directly added together, Add forces in the same direction.