Simple Forces: Add/Subtract for Net Force?

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SUMMARY

The discussion focuses on determining when to add or subtract forces such as normal, kinetic friction, and tension when calculating the net force (\Sigma F) in both horizontal and vertical directions. Key principles include recognizing that gravity always points downward, friction opposes motion, and normal force acts perpendicular to surfaces. The use of standard angle notation is emphasized, where all forces are added, and a negative magnitude indicates a need to adjust the angle by adding 180 degrees. Understanding the sign convention is crucial, with upward forces considered positive and downward forces negative in vertical calculations.

PREREQUISITES
  • Understanding of basic physics concepts, including forces and motion.
  • Familiarity with vector components and their calculations.
  • Knowledge of standard angle notation in physics.
  • Ability to apply sign conventions in force analysis.
NEXT STEPS
  • Research the principles of vector addition in physics.
  • Study the effects of friction on motion in various scenarios.
  • Learn about the role of tension in pulley systems.
  • Explore advanced topics in force analysis, such as equilibrium and dynamics.
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone involved in mechanics or engineering who seeks to understand the application of forces in various contexts.

p4cifico
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I am confused as to when I should be able to tell "by observing" whether the forces of normal, kinetic friction, and tension need to be added or subtracted from the net force for both sideways and vertical directions. Ropes pulling at degrees, pulleys moving up and down, cars traveling uphill, how do I know when to subtract or add these forces from [tex]\Sigma[/tex] F (x or y) ?
 
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Almost always, you can tell which way gravity points. And, ropes/strings/wires always pull in the axial direction. Friction always opposes motion (or a tendency toward motion). Normal means perpendicular to a surface.

Then, if you use standard angle notation, you always add all forces; if a force magnitude comes out negative, add 180 degrees to the "guessed" angle. BTW, if by chance you don't know standard angle, ignore this posting.
 
p4cifico said:
...how do I know when to subtract or add these forces from [tex]\Sigma[/tex] F (x or y) ?
I will assume that you know how to determine (by inspection) the actual direction of a force and how to find its components. (TVP45 gave some advice in that regard.) As far as whether you add or subtract a given force when finding the net force, that depends on your sign convention. For example, consider vertical forces. If you take the usual convention where up is positive and down is negative, then any downward force will be negative when adding vertical forces. For horizontal forces, to the right is often positive and to the left is negative.
 

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