Question About Beginner Static Problems

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SUMMARY

This discussion addresses the handling of units in static problems, specifically whether to convert millimeters to meters when calculating unit vectors. It concludes that while unit vectors are unitless, maintaining consistent units is crucial for clarity. The fundamental principles of static equilibrium are emphasized, particularly the equations ∑F = 0 and ∑τ = 0, which represent six equations necessary for solving statics problems. The importance of labeling calculations with the correct units is highlighted to avoid confusion and errors.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Familiarity with vector notation and operations
  • Knowledge of unit conversions, specifically between millimeters and meters
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study the application of the static equilibrium equations ∑F = 0 and ∑τ = 0 in various scenarios
  • Learn about vector cross products, particularly τ = r x F
  • Explore techniques for simplifying calculations in statics to avoid complex numbers
  • Review unit conversion practices and their importance in physics problems
USEFUL FOR

This discussion is beneficial for students studying physics, particularly those tackling statics problems, as well as educators seeking to clarify unit handling and equilibrium concepts in their teaching.

lc99
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Homework Statement


upload_2018-5-2_18-19-15.png


Homework Equations

The Attempt at a Solution


I noticed that the units are in mm and i usually would convert to meters for the convention. But, is it okay to leave the mm as is when i calculate the unit vectors since the unit vectors are unitless? I don't want to deal withd decimals in my calculations.

in general, do i ever need to convert my units?
 

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Also the calculations get realllly mess real quick. How can i simplify things so that i don't get messy numbers all over the place? I keep finding myself getting the wrong answer because of the mess in numbers.
 
Don't worry about the units, Just keep track of them by labeling all of your calculations with the correct units. Statics problems are all based on ∑F = 0 and ∑τ = 0. Since F and τ are both vectors the static equilibrium equations represent 6 equations, some of which may not be needed in a particular problem. So set ∑F(x) = 0, ∑F(y) = 0, ∑F(z) = 0, ∑τ(x) = 0, ∑τ(y) = 0, ∑τ(z) = 0. Noting that τ = r x F.
 
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