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Posted by mdetaos at Nov 17, 2006 3:02:07 PM
Resultants and force
Have worked the following problem but am uncomfortable with the answer and not at all confident with working in this area. Could I please ask if this is the right answer and way to approach it? Thanks!

Find the force required to keep a 17,900 pound truck parked on a hill that makes an angle of 4 degrees 20 seconds with the horizontal. (my answer: 236903.2449) Seems too large...

First I converted the angle to 4.3333. I know one angle is 90 degrees so the remaining angle must be 85.667. I then set up the equation sin4.3333=17900/x and solved for x. I have a feeling I've missed a step or something...

Thanks for your help!

Posted by pskinner at Nov 18, 2006 11:54:52 PM
biggrin   Re: Resultants and force
I like your metacognitive approach.

Any answer that requires more force than the weight of the truck, 17,900 pounds, seems incorrect.

The reverse of your ratio has more credibility:

x/17900=sin(4.33)

In fact, this ratio has the virtue of yielding 0 if instead of 4.33 degrees it were 0 degrees, where no force would be required.
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Principal Skinner

Posted by mdetaos at Nov 19, 2006 7:58:33 AM
Re: Resultants and force
Thank you. I discovered that I haad made a error in imput which gave me that huge answer. Help much appreciated!