An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle θ with the plane, then the magnitude of the force is F = µW / μ sin(θ) + cos(θ) where μ is a constant called the coefficient of friction.
(a) Find the rate of change of F with respect to(θ).
dF / dθ=
(b) When is this rate of change equal to 0?
θ =