Calculus Homework Check (vectors/forces)

AI Thread Summary
The discussion focuses on a calculus homework problem involving vectors and forces, specifically the calculation of weight using the formula 50kg/m² multiplied by 9.8m/s² to derive a force in Newtons. Participants clarify the correct units for gravitational acceleration (g) and the implications of multiplying these units by kg/m². The use of trigonometric functions to distribute load between supports is debated, with a specific inquiry about the outcome if the angle were zero. There is also a request for clearer algebraic notation instead of images for better understanding. The conversation emphasizes the importance of dimensional analysis in physics calculations.
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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