An object with weight W is dragged along a horizontal plan 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 = (mu)W/((mu)sin(theta)-cos(theta)) where mu is the coefficient of friction.  For what theta, F is smallest?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter1: Introduction And Vectors
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An object with weight W is dragged along a horizontal plan 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 = (mu)W/((mu)sin(theta)-cos(theta))

where mu is the coefficient of friction. 

For what theta, F is smallest?

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