How Do I Split This Vector into Components?

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The discussion centers on a physics problem involving inclined planes and centripetal acceleration, specifically focusing on splitting a force vector into its x and y components. The user struggles with understanding how to apply a 60-degree angle to find these components. Clarification is provided that the force makes a 90-degree angle with the slope, and through vector addition, the blue angle is identified as 30 degrees. The conversation highlights the importance of visualizing angles and components in vector problems. Overall, the exchange emphasizes the need for a clear understanding of geometry in solving physics questions.
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Homework Statement


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The Attempt at a Solution



I'm doing a question on inclined planes and centripetal acceleration. I understand the question and what it's asking for, I'm just having trouble splitting F into it's x and y components and how 60 degrees related to it. Any help would be appreciated.
I've drawn multiple diagrams I just can't figure out how to use the 60 degrees to find the x and y components, which would help me finished this question.
Thanks.
 
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The force makes 90 degree angle with the slope. F is the sum of a horizontal and vertical component, drawn according to vector addition. The purple angle is 60° (why?) So what is the blue angle?

splitforce.JPG
 
ehild said:
The force makes 90 degree angle with the slope. F is the sum of a horizontal and vertical component, drawn according to vector addition. The purple angle is 60° (why?) So what is the blue angle?

View attachment 75290
Ohh the Z pattern.
Blue would be 30.

OMG thank you. Not very good at geometry. :P
 

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