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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, where μ 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, andμ = 0.6,draw the graph of F as a function of θ and use it to locate the value of θ for which Is the value consistent with your answer to part (b).

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Jamar Ferry
Jamar FerryLv2
14 May 2020

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