?An object with weight W is dragged along a horizontal plane by a force acting along a

Chapter 4, Problem 50

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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 \(\theta\) with a plane, then the magnitude of the force is

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

where \(\mu\) is a constant called the coefficient of friction. For what value of \(\theta\) is F smallest?

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