Using Angles to Solve Force Component Problems

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To solve force component problems using angles, it's essential to understand how to apply the given angle, such as β, to find vertical and horizontal components. The discussion highlights the confusion around using the corresponding angles postulate and the need for clarity in visualizing the angles involved. A geometry theorem is referenced, indicating that two angles with mutually perpendicular sides are equal, which aids in understanding the relationship between the forces and the angle. The user expresses gratitude after gaining insight into the problem. Mastering these concepts is crucial for accurately calculating force components in physics.
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 \beta. 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 \beta to calculate the components of mg.

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

Thanks!
 
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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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