plane trigonometry

2 posts / 0 new
Last post
juliepearl
juliepearl's picture
plane trigonometry

a weight of 350 pounds is being pulled up an incline at at a uniform speed.the incline makes an angle of 18 degree 25 minutes with the horizontal.the force pulling thye weight makes an angle of 27 degree 20 minutes with the incline.if the coefficient of sliding friction is 0.42, find the magnitude of the force.

Jhun Vert
Jhun Vert's picture

This is more of engineering mechanics than trigo. Anyway here it is:
 

win_20150314_114841.jpg

 

θ = 18° 25'
Φ = arctan (0.42) = 22.78°

Draw the force polygon:
 

win_20150314_114744.jpg

 

α = 18° 25' + 27° 20'

Solve for β then use sine law to solve for P.

My answer is 231.26 lbs.

Add new comment

Deafult Input

  • Allowed HTML tags: <img> <em> <strong> <cite> <code> <ul> <ol> <li> <dl> <dt> <dd> <sub> <sup> <blockquote> <ins> <del> <div>
  • Web page addresses and e-mail addresses turn into links automatically.
  • Lines and paragraphs break automatically.
  • Mathematics inside the configured delimiters is rendered by MathJax. The default math delimiters are $$...$$ and \[...\] for displayed mathematics, and $...$ and \(...\) for in-line mathematics.

Plain text

  • No HTML tags allowed.
  • Lines and paragraphs break automatically.