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

Chapter 3, Problem 38

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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 with the plane, then the magnitude of the force is F W sin 1 cos where is a constant called the coefficient of friction. (a) Find the rate of change of F with respect to . (b) When is this rate of change equal to 0? (c) If W 50 lb and 0.6, draw the graph of F as a function of and use it to locate the value of for which dFyd 0. Is the value consistent with your answer to part (b)?

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