Solving Statics Questions with Different Units

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Discussion Overview

The discussion revolves around solving statics questions involving different units for force and length. Participants are attempting to determine the height (h) in a statics problem, with a focus on the relationships between forces and their components.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant notes the challenge of differing units for force and length and seeks assistance in finding h.
  • Another participant requests the original poster to share their attempts to provide more targeted help.
  • A participant outlines their approach to finding forces and their components, indicating a potential mathematical error in their calculations.
  • Further advice is given to simplify the problem by drawing free body diagrams and using trigonometric relationships to express angles in terms of known quantities.

Areas of Agreement / Disagreement

There is no consensus on the solution to the problem, and multiple approaches are being discussed without resolution.

Contextual Notes

Participants have not fully resolved the mathematical steps involved in the problem, and there are indications of potential errors in calculations that remain unaddressed.

hjkklm
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The units are different.
One is the force unit, and one is the length unit.
Then how to find the h?

Question is attached in the file

thanks
 

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Please provide your best attempt so far - that way we can give you the help you personally need.
 
I intend to find the all forces and then find the length through the force quantity.
I will find the forces component firstly. x-component=150cosθ N (h cm), y-component=150sinθ N (40cm)
150cosθ N= 170N <----but it is math error or no solution

Then I can't find, help please.
 
... you tried to do too many steps at once.
Start by drawing free body diagrams for the collar and the weight - separately.
Don't forget the tension in the cable.

If the angle between the rod and the cable (off the collar) is A, then you can express the trig functions in terms of things you know: eg. tan(A)=40/h.
 

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