Calculus Homework Check (vectors/forces)

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SUMMARY

The discussion centers on the calculation of forces in a physics problem involving vectors and loads. A participant correctly identifies that multiplying 50 kg/m² by 9.8 m/s² yields 490 N, but questions the units involved. The conversation emphasizes the importance of using trigonometric functions to resolve forces and highlights the necessity of clear algebraic representation in problem-solving. The correct interpretation of units and the application of horizontal components in force calculations are critical for accurate results.

PREREQUISITES
  • Understanding of Newton's second law and force calculations
  • Familiarity with unit conversions, specifically involving mass and acceleration
  • Knowledge of trigonometric functions and their application in physics
  • Ability to represent algebraic expressions clearly in text format
NEXT STEPS
  • Review the principles of Newton's second law and force vectors
  • Study unit conversions involving mass (kg), area (m²), and force (N)
  • Learn how to apply trigonometric functions in resolving forces at angles
  • Practice writing algebraic expressions in text format for clarity
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and force calculations, as well as educators looking to enhance their teaching methods in algebraic representation.

samstim
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Homework Statement
Hey guys Im not sure if did my homework question corectly can someone please help me verify my answers.
Relevant Equations
Cosine Law
Sine Law
Forces
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In your first line you multiply 50kg/m2 by 9.8N to get 490N.
What are the correct units for g? What do you get if you multiply those units by kg/m2?

In the second line you use trig functions to apportion the load between the two supports. What is your reasoning for that? What answer would you have got if the angle were zero?

In future, please post algebra as typed in text. Images are for diagrams and textbook extracts.
 
Thank you
So for the first line would I do 50kg/m2 × 9.8 m/s2 = 490 N
For the second line I used horizontal components because my teacher said something about using them to solve the problem. If the angle was zero then the answer would be 490 N for each of the forces but I don't think that correct. Can you please explain the correct way to do question A
 
Last edited:
samstim said:
So for the first line would I do 50kg/m2 × 9.8 m/s2 = 490 N
No, ##kg/m^2\times m/s^2=N/m^2##.
What have you left out that has dimension m2?
 

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