# Relation between LaTeX Code: \\theta and LaTeX Code: \\mu ?

1. Sep 8, 2009

### BoNyKiD07

I copied the Latex codes from a different problem thinking they'd change into the symbols, didn't really work out that way so I used Mu and X instead of the symbols for mu and theta. Sorry :D
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1. The problem statement, all variables and given/known data

A block of mass m, acted on by a force of magnitude F directed horizontally to the right as shown above, slides up an inclined plane that makes an angle theta with the horizontal. The coefficient of sliding friction between the block and the plane is Mu

The picture is that of an incline, LaTeX Code: \\theta on the left of the incline, mass m on the incline, and a horizontal force is applied to m directed right.

Develop an expression for the magnitude of the force F that will allow the block to slide up the plane with constant velocity. What relation must theta and Mu satisfy in order for this solution to be physically meaningful.

3. The attempt at a solution

I solved for F already. I did
Fnetx = ma
0 = Fx - Fgx - Ffr
FcosX = mgsinX + (mgcosX + FsinX)Mu
and I ended up with
F = (mg(sinX + MucosX))/(cosX - sinX)

I was wondering about the last part, how would I figure out the relation between theta (X) and Mu to make the solution physically meaningful? Thanks for any replies!