2.23. Keeping a book up ** The task of Problem 2.4 is to find the minimum force required to keep a book up. What is the maximum allowable force, as a function of and u? Is there a special angle that arises? Given u, make a rough plot of (the allowed values of F for -л/2 <0

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(Question 2.4 is also there because 2.23 references that)

2.23. Keeping a book up **
The task of Problem 2.4 is to find the minimum force required to keep a
book up. What is the maximum allowable force, as a function of and
u? Is there a special angle that arises? Given u, make a rough plot of
the allowed values of F for -л/2 <0</2.
Transcribed Image Text:2.23. Keeping a book up ** The task of Problem 2.4 is to find the minimum force required to keep a book up. What is the maximum allowable force, as a function of and u? Is there a special angle that arises? Given u, make a rough plot of the allowed values of F for -л/2 <0</2.
2.4. Keeping a book up *
A book of mass M is positioned against a vertical wall. The coeffi-
cient of friction between the book and the wall is u. You wish to keep
the book from falling by pushing on it with a force F applied at an
angle with respect to the horizontal (-1/2 < 0 < π/2), as shown
in Fig. 2.10.
F
(a) For a given 0, what is the minimum F required?
(b) For what is this minimum F the smallest? What is the Fig. 2.10
corresponding minimum F?
(c) What is the limiting value of 0, below which there does not exist
an F that keeps the book up?
Ꮎ
M
Transcribed Image Text:2.4. Keeping a book up * A book of mass M is positioned against a vertical wall. The coeffi- cient of friction between the book and the wall is u. You wish to keep the book from falling by pushing on it with a force F applied at an angle with respect to the horizontal (-1/2 < 0 < π/2), as shown in Fig. 2.10. F (a) For a given 0, what is the minimum F required? (b) For what is this minimum F the smallest? What is the Fig. 2.10 corresponding minimum F? (c) What is the limiting value of 0, below which there does not exist an F that keeps the book up? Ꮎ M
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