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Homework Statement
A small box of mass m1 is sitting on a board of mass m2 and length L. The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is, as usual, less than μs. The board is pulled with a force F, as shown. We wish to know the minimum force necessary to pull the board out from under the box. Express your answers in terms of any of the variables F, L, μs,g, m1 and m2.
Find the acceleration of the board when the force of static friction reaches its maximum possible value.
What is the requirement for the board starting to slide under the box?
Homework Equations
F=ma
The Attempt at a Solution
I already solved the largest possible acceleration of the box, which is
F=(m1+m2)a up until m1 falls. I do not actually understand how I can find the maximum possible value. This is probably when the acceleration is the largest I guess?.. Can anybody help me out with these two questions please! Thank you in advance