Using Angles to Solve Force Component Problems

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SUMMARY

The discussion focuses on solving force component problems using angles, specifically the angle β in relation to the force mg. Participants highlight the need to apply geometric principles, particularly the corresponding angles postulate and the theorem regarding mutually perpendicular angles. The user expresses confusion about how to effectively utilize the angle β to calculate vertical and horizontal components of the force. Ultimately, the clarification provided helps the user understand the relationship between the angles and the force components.

PREREQUISITES
  • Understanding of basic trigonometry, including sine and cosine functions.
  • Familiarity with force components in physics, specifically vertical and horizontal components.
  • Knowledge of geometry theorems related to angles and perpendicular lines.
  • Ability to interpret and apply the corresponding angles postulate.
NEXT STEPS
  • Study the application of trigonometric functions in resolving forces, specifically using sine and cosine.
  • Learn about vector decomposition in physics to better understand force components.
  • Explore geometric theorems related to angles and their applications in physics problems.
  • Practice solving problems involving angles and force components to reinforce understanding.
USEFUL FOR

Students and educators in physics, particularly those tackling force component problems, as well as anyone seeking to strengthen their understanding of trigonometry and geometry in practical applications.

Muffin
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Hi! I reallyreallyreally need ur help with this.

ex.1
XBdOE.jpg

To find the vertical and horizontal components of the force mg, I need to use the given angle [itex]\beta[/itex]. The problem is I don't know how to use it. I have tried to use the corresponding angles postulate. But I can't make it to work. How should I think to find the components?

ex2.
UDqa8l.jpg

Its the same thing here. I don't know how to think so I can use the given angle [itex]\beta[/itex] to calculate the components of mg.

Im sorry for my bad english but I hope you will understand what I want to ask.

Thanks!
 
Last edited:
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Hi Muffin and welcome to PF.

There is a geometry theorem that says that two angles that have their sides mutually perpendicular are equal. Do you see two lines that are mutually perpendicular to the sides that form the given angle β?
 
I think I understand now. Thank you so much!:smile:
 

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