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

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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 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.

(b) When is this rate of change equal to 0 ?

(c) If W = 50 lb and µ = 0.6, draw the graph of F as a function of θ and use it to locate the value of θ for which dF/dθ = 0. Is the value consistent with your answer to part (b)?

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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