Concurrent And Parrallel Forces 3

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kgbwolf
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No. 22: The force of friction of a mower is 20 lb. What force must the man (in fig. 6-23 )exert along the handle to push it at constant speed ? Hint: look up example 6 in this section. You can get up to 10 points for answering correctky this discussion before monday's class.


Did i work this out correctly??

M = Cos45 ^x MSIn45^y
F= 20LB ^x 0LB ^y
Mcos45+20=0 28.8sin45=20.3LB ^y
-20/cos45= -28.8LB ^x

Free-body diagram of a lawn mower handle at 45 degrees to the horizontal, with a force of 20 lb along the x-axis and the working equations written below.
 
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  • Free-body diagram of a mower with a 45 degree handle, a horizontal force of 20 lb, and handwritten force component equations including Mcos45 + 20 = 0 and -20/cos45 = M = -28.8 lb.
    MOWER.JPG
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almost ... the man's Force IS 20 lb / cos(45) ,
but that is along the diagonal handle, not in the negative x-direction.

Either stick with components (-20, -20) lb , or fix your direction.
 
Ya, you have issues with your directions. The friction and the direction of motion are going to be opposite directions and signs. Other than that your setup looks good.