A small box of mass m1 is sitting on a board of mass m2 and length L. The coefficient of kinetic friction between the board and the horizontal floor is μk . The coefficient of static friction between the board and the box is μs. At this moment, the board slides to the right along the surface, while the box does not slide on the board. What is the maximum magnitude of the force F pulling the board so that the box does not slip on the board?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 46P: An aluminum block of mass m1 = 2.00 kg and a copper block of mass m2 = 6.00 kg are connected by a...
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A small box of mass m1 is sitting on a board of mass m2 and length L. The
coefficient of kinetic friction between the board and the horizontal floor is μk . The coefficient of
static friction between the board and the box is μs.
At this moment, the board slides to the right along the surface, while the box does not slide on
the board. What is the maximum magnitude of the force F pulling the board so that the box
does not slip on the board?

 
THE ANSWER IS =(?? + ??)(?1 + ?2)?
 
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Can you help with the ending of part 3 why do we add back in the mu of static friction I don't get why it is added in?

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