3. The force F required to move a box by pulling on an attached rope that forms an angle w with the horizontal is given by fmg F(w) = cOSw + f sin w where f, m, g > 0 are all constant. (a) Show that the angle wo that minimizes the required force to set the box in motion is given by arctan(f) (b) Show that this minimal force F(wo) is proportional to (a constant multiple of)
3. The force F required to move a box by pulling on an attached rope that forms an angle w with the horizontal is given by fmg F(w) = cOSw + f sin w where f, m, g > 0 are all constant. (a) Show that the angle wo that minimizes the required force to set the box in motion is given by arctan(f) (b) Show that this minimal force F(wo) is proportional to (a constant multiple of)
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 2.9CYU: Check Your Understanding Suppose that Balto in Example 2.10 leaves the game to attend to more...
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![3. The force F required to move a box by pulling on an attached rope that forms an angle w with the
horizontal is given by
fmg
F(w) =
cOSw + f sin w
where f, m, g > 0 are all constant.
(a) Show that the angle wo that minimizes the required force to set the box in motion is given by
arctan(f)
(b) Show that this minimal force F(wo) is proportional to (a constant multiple of)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9212719b-c897-4ebf-a029-2d9bbfbc2c8d%2Feeea648b-e5eb-4e1e-93c4-7e4b1e6372b6%2Fcefs3t.jpeg&w=3840&q=75)
Transcribed Image Text:3. The force F required to move a box by pulling on an attached rope that forms an angle w with the
horizontal is given by
fmg
F(w) =
cOSw + f sin w
where f, m, g > 0 are all constant.
(a) Show that the angle wo that minimizes the required force to set the box in motion is given by
arctan(f)
(b) Show that this minimal force F(wo) is proportional to (a constant multiple of)
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