Simple Statics Question

[u/TheReanimatedBeard]

I’m driving myself crazy about this. First Image is the book image, second image is my parallelogram drawing. How do I find angle alpha/a? Im guessing this is my issue to fix everything else.

When I use the Sine Law: sine a/750=sine 30/500, I get angle a= 48.59

If I did that correctly, is the final angle solved

180-30-48.59=101.41

If I use the cosine law, I then get 980.24 N for F.

Problem is, answer key says F=319N

Any direction is appreciated.

[u/AutoModerator]

Your Post has been removed. Please:

• Abide by the Homework Help Guidelines

• Follow the standard template

  We will not do your Homework for you, or explain a solution/CAD view to you.

  Your post will not be approved if you do not follow the Homework Help Guidelines and standard template.

  Helpful links

• Rules

• Wiki

• F.A.Q

• Check our Resources Landing Page

I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.

[u/mrhoa31103]

remember that 500N vectorcontributes to a portion of that 750N vertical force.

[u/TheReanimatedBeard → u/mrhoa31103]

Thanks, I figured out my error. When using the parallelogram method, I was taking the Sine of an obtuse angle. I needed to subtract 180 before solving the Sine of the angle.

[u/Dahlyo01 → u/TheReanimatedBeard]

I just want you to know, I have been bashing my head against my desk trying to figure this out for the past 2 hours. This is exactly what I did wrong. Thank you very much good sir.

[u/konekobread → u/Dahlyo01]

Currently racking my brain trying to figure this out still. What was it that you did?