How to find acceleration given only angle of slope and coefficient of friction?

  • Thread starter ExtendedG
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  • #1
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Homework Statement


A crate is placed on an inclined board. The coefficient of friction between the crate and the board is 0.26 , and the angle of the slope is 16 degrees. Calculate the acceleration of the crate down the incline.


Homework Equations


F=ma
Ff=umgcos(theta)
Forge of gravity parallel = mgsin(theta)


The Attempt at a Solution


F=ma
Fg - Ff = ma
mgsin(theta) - umgcos(theta) = ma
so this is where it gets tricky for me.. i've tried factoring and removing a mass from each side.. but i'm still left with one mass.
What do i do? :/
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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From here:

mgsinθ - umgcosθ = ma

your mass 'm' cancels out, so the acceleration does not depend on the mass.
 
  • #3
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sorry I'm still confused, but which mass comes out? or all the masses cancel out? when i try that, I don't get the answer.
 
  • #4
rock.freak667
Homework Helper
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All of the 'm's in the equation are the same, so they all cancel out.
 
  • #5
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All of the 'm's in the equation are the same, so they all cancel out.
Ah true okay thank you sir, help very much appreciated, so then I would just do:

gsinθ - ugcosθ = a

Now does the equation above work? because I think I remember trying this cancelling out all of the m's, and I got a wrong answer, but I probably did my math wrong. I'll check once I finish with my chemistry and math homework.
 

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