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**Help Please!!! Find angle given tension and friction?**

## Homework Statement

An initially stationary box of sand is to be pulled across a floor by means of a cable in which the tension should not exceed 1100 N. The coefficient of static friction between the box and the floor is 0.35. (a) What should be the angle between the cable and the horizontal in order to pull the greatest possible amount of sand, and (b) what is the weight of the sand and box in that situation?

## Homework Equations

Tcosθ = μF

_{n}

mg = F

_{n}+ Tsinθ

## The Attempt at a Solution

I know there's an easy way to do this using derivatives, but my professor didn't teach us that method and expects us to solve it some other way. I'm not sure what to do, I can't seem to eliminate the variables. Help please? I know the answer is just the arctan of .35, I just don't know how to get there...

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