Is the 45-Degree Angle Between the Y-Axis and F2?

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Homework Help Overview

The discussion revolves around the interpretation of angles related to two forces, F1 and F2, in a three-dimensional coordinate system. The original poster expresses confusion regarding the coordinate angle (gamma) and the significance of a 45-degree angle in relation to F2 and the y-axis.

Discussion Character

  • Conceptual clarification, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the components of F1 and questions the role of the 45-degree angle concerning F2. Some participants provide interpretations of the angles and their relationships, suggesting that F2 is positioned at specific angles relative to the coordinate axes.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the angles involved. Some guidance has been offered regarding the geometric relationships of the forces, but there is no explicit consensus on the correct interpretation or calculations.

Contextual Notes

There are indications of confusion regarding the angles and their definitions, as well as a reminder about posting in the appropriate forum. The original poster also notes a discrepancy between their calculated resultant force and an expected value.

Hr0427
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Hibbler.ch2.p69.jpg


Find the result force of the two forces.
This problem seemed easy at first, but I think I'm confused as to how to find the coordinate angle (gamma) . For the ( i,j,k) components of F1, I got (300cos(30)i, 0j, 300sin(30)k) I don't understand the function of the 45 degree angle, either. What am i doing wrong? Is the 45 degrees the angle between the y-axis and F2? and also would that make 135 degrees the angle between F2 and Z? then that would make 60 degrees the angle between the x-axis and F2. However, the answer for the resultant force is 733... and i got a number close to 900.
 
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Interpretation of the figure seems pretty straight-forward to me. F2 is 30 degrees down from the y-axis on the yz plane and if you create a plane that is perpendicular to the yz plane and contains the F2 vector, F2 is out 45 degrees put on that plane from the line it makes with the yz plane. F1 is obviously 30 degrees down from the x-axis on the xz plane.
 
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New to this site, Sorry.
 
phinds said:
Interpretation of the figure seems pretty straight-forward to me. F2 is 30 degrees down from the y-axis on the yz plane and if you create a plane that is perpendicular to the yz plane and contains the F2 vector, F2 is out 45 degrees put on that plane from the line it makes with the yz plane. F1 is obviously 30 degrees down from the x-axis on the xz plane.
I look at it from a different, but equivalent, perspective. The force F2 makes an angle of 45 degrees with the x-y plane. Its projection onto the x-y plane makes an angle of 30 degrees with the y-axis and 60 degrees with the x axis.

Chet
 
Chestermiller said:
I look at it from a different, but equivalent, perspective. The force F2 makes an angle of 45 degrees with the x-y plane. Its projection onto the x-y plane makes an angle of 30 degrees with the y-axis and 60 degrees with the x axis.

Chet

HA ... you are right of course. An optical illusion, sort of. Seems totally open to interpretation.
 

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