65. The force F (in Newtons) required to move a box of mass m kg in motion by pulling on an attached rope (Figure 32) is fmg cos 0 + f sin 0 where 0 is the angle between the rope and the horizontal, f is the coefficient of static friction, and g = 9.8 m/s?. Find the angle 0 that minimizes the required force F, assuming f = 0.4. Hint: Find the maximum value of cos 0 + f sin 0. F (0) = FIGURE 32

65. The force F (in Newtons) required to move a box of mass m kg in motion by pulling on an attached rope (Figure 32) is fmg cos 0 + f sin 0 where 0 is the angle between the rope and the horizontal, f is the coefficient of static friction, and g = 9.8 m/s?. Find the angle 0 that minimizes the required force F, assuming f = 0.4. Hint: Find the maximum value of cos 0 + f sin 0. F (0) = FIGURE 32

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 9EQ

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