The force F (in Newtons) required to move a box of mass m kg in motion by

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The force F (in Newtons) required to move a box of mass m kg in motion by pulling on an attached rope (Figure 33) is

F(0) = fmg cos 0 + f sin 0

where θ is the angle between the rope and the horizontal, ƒ is the coefficient of static friction, and g = 9.8 m/s2. Find the angle θ that minimizes the required force F, assuming ƒ = 0.4. Find the maximum value of cos θ + ƒ sin θ.

0 F

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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