Engineering Statics (Vector Questions)

[xtrubambinoxpr]

Homework Statement

Attached below

Homework Equations

I am having a problem because the solutions manual does the parallelogram method and stupid me I cannot draw the parallelogram correctly. Specifically my drawings are off a bit. and it throws me off every time. the last one I had vector (FR) completely wrong because the damn figure.

The Attempt at a Solution

I attempted to draw a parallelogram but i suck at it and want some advice / help. If anyone has any suggestions. I am better on doing it into components but how would you do this in components being the axis is slanted.

 

[LeFerret]

They defined the axis for you in this problem, and want you to find the components of the force relative to those axis. So what you can do is find the angle the force makes with respect to the u-v axis and use trig to find the components.

 

[xtrubambinoxpr]

They defined the axis for you in this problem, and want you to find the components of the force relative to those axis. So what you can do is find the angle the force makes with respect to the u-v axis and use trig to find the components.

so would i be right to say the right side has a triangle with degree measures 45, 30(alt interior angles, and 105?

 

[LeFerret]

so would i be right to say the right side has a triangle with degree measures 45, 30(alt interior angles, and 105?

If I understand you correctly, you're saying that the angle F₁ makes to the v-axis is 45degrees?

 

[xtrubambinoxpr]

well 180 in a line.. so 180 - 105 = 75.. for the "quadrant III" let's say.. opposite is 75 total.. but you have 30 given. so that makes the extra angle left 45. so the alt interior angle tells me that there will be a 45, 30, 105 triangle

 

[LeFerret]

well 180 in a line.. so 180 - 105 = 75.. for the "quadrant III" let's say.. opposite is 75 total.. but you have 30 given. so that makes the extra angle left 45. so the alt interior angle tells me that there will be a 45, 30, 105 triangle

Correct. From that you can find the angle F₂ makes relative to the v-axis as well and from that you can determine the components of the force with respect to the u-v axis.

 

[xtrubambinoxpr]

Correct. From that you can find the angle F₂ makes relative to the v-axis as well and from that you can determine the components of the force with respect to the u-v axis.

Ok cool thanks! One last question

The new image I attached is so blank. Would I use the same method?

 

[LeFerret]

Ok cool thanks! One last question
View attachment 66145

The new image I attached is so blank. Would I use the same method?

Hmm, I'm not quite sure on this one, I would say no but don't take my word for it. What I would consider though is using the parallelogram law to create a force triangle. I can't really offer any tips on it, just draw A+B, then translate them accordingly to make the parallelogram.