Solving for F1 Angle Components using Spherical Coordinates

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The discussion focuses on determining the coordinate direction angles α, β, and γ for the force F1 using spherical coordinates. The angle γ is calculated as 60 degrees, while α is proposed to be 320 degrees based on rotation in the XY-plane. The participant expresses uncertainty about finding β and suggests using the cosine equation involving all three angles. Additionally, hints emphasize the importance of understanding the relationship between the angles and spherical coordinates. The conversation highlights the need for clarity in defining the angles to solve the problem effectively.
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Homework Statement


Hibbler.ch2.p62.jpg


Specify the coordinate direction angle α,β,γ of F1.

Homework Equations





The Attempt at a Solution



γ= 90-30 = 60
The only obvious one.

I have no clue how I'm supposed to see what the other are. α seems to me like it's 320 degrees because if you rotate in the positive direction on the XY-plane then that's where you'll end up.

To find the final angle I suppose I'm just supposed to use the equation with the cosine of all three angles squared.
 
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You need to start by clearly stating the definitions of the angles.
 
Hint 1: The components of a unit vector in a direction give the direction cosines.

Hint 2: How are your given angles related to spherical coordinate angles?
 

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