# calculus

posted by
**nate**
.

The force F (in Newtons) required to move a box of mass m kg in motion by pulling on an attached rope is F(x) = f m g/(cos(x))+ f (sin(x))

where x is the angle between the rope and the horizontal, f is the coefficient of static friction and g = 9.8 m/s^2. Find the angle x that minimizes the required force F, assuming f = .4