Originally Posted by

**Shaz** So I have been given a problem to do that involves an incline with an angle $\displaystyle \theta$. I have been staring this thing down all day and am thinking I have to take the derivative of W. But don't know how to start it.

Any help to get this problem started would be great. Maybe an outline of what I am going to need to do.

Problem:

The largest weight *W *that can be pulled up a plane inclined at an angle $\displaystyle \theta$ with the horizontal slope by a force *F* is

$\displaystyle W = \frac{F * (cos\theta + \mu*sin\theta)}{\mu}$

where $\displaystyle \mu$ is the coefficient of friction. Find $\displaystyle \theta$ so that *W* is a maximum.