An object with weight W is dragged along a horizontal plane by a force acting along a
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
where μ is a positive constant called the coefficient of friction and where 0 ≤ θ ≤ π/2. Show that F is minimized when tan θ = μ.
Transcribed Image Text:
F = μW μ sin cos
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F So dF do W sin 0 cos 0 0 cos 0 dF de sin cos 0 0 W u co...View the full answer
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Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
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