Answered: µW F = u sin 0 + cos 0

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

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 given below in image.

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 =50lb 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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