#### srg

Gold Member

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- 1

Hi guys,

I have a problem in which I have to resolve [itex]\vec{R}[/itex] along two axes,

http://srg.sdf.org/images/PF/VectorHW.png [Broken]

I believe I'm doing this correctly, however my textbook has very limited examples and I'd like to verify my work.

My method for solving this is to create a triangle by "moving" the axes around and then solving for the two components of the vector.

http://srg.sdf.org/images/PF/VectorHW2.png [Broken]

In which case, using the law of sines, I get:

[tex]\frac{R_a}{\sin{110}} = \frac{800}{\sin{40}} \therefore R_a=1169.5[/tex]

[tex]\frac{R_b}{\sin{30}} = \frac{800}{\sin{40}} \therefore R_b=622.3[/tex]

Thinking about the results logically/graphically, it seems to make sense that [itex]R_a[/itex] has a higher magnitude than [itex]R_b[/itex] and that the two components make up the proper angle for [itex]\vec{R}[/itex].

Again, I believe this to be correct, however my textbook as limited examples and I'd like to confirm.

Thank you PF!

I have a problem in which I have to resolve [itex]\vec{R}[/itex] along two axes,

**a**and**b**. However, those axes don't have a right angle between them (hence, non-standard). See the image below.http://srg.sdf.org/images/PF/VectorHW.png [Broken]

I believe I'm doing this correctly, however my textbook has very limited examples and I'd like to verify my work.

My method for solving this is to create a triangle by "moving" the axes around and then solving for the two components of the vector.

http://srg.sdf.org/images/PF/VectorHW2.png [Broken]

In which case, using the law of sines, I get:

[tex]\frac{R_a}{\sin{110}} = \frac{800}{\sin{40}} \therefore R_a=1169.5[/tex]

[tex]\frac{R_b}{\sin{30}} = \frac{800}{\sin{40}} \therefore R_b=622.3[/tex]

Thinking about the results logically/graphically, it seems to make sense that [itex]R_a[/itex] has a higher magnitude than [itex]R_b[/itex] and that the two components make up the proper angle for [itex]\vec{R}[/itex].

Again, I believe this to be correct, however my textbook as limited examples and I'd like to confirm.

Thank you PF!

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