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

## 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? :/

rock.freak667
Homework Helper
From here:

mgsinθ - umgcosθ = ma

your mass 'm' cancels out, so the acceleration does not depend on the mass.

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.

rock.freak667
Homework Helper
All of the 'm's in the equation are the same, so they all cancel out.

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.