A small box of mass \( m_{1} \) is sitting on a board of mass \( m_{2} \) and length \( L \) (Figure 1). The board rests on a trictionless horizontal surface. The coefficient of static friction between the board and the box is \( \mu_{3} \). The coefficient of kinetic friction between the board and the boxis, as usual, less than \( \mu_{4} \).
Throughout the problem, use \( g \) for the magnitude of the free-fall acceleration. In the hints, use \( f \) for the magnitude of the friction force between the board and the box.
igure
1 of 1
Part A
Find \( F_{\text {min }} \), the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which wall then fall off of the opposite end of the board).
Express your answer in terms of some or all of the variables \( \mu_{0}, m_{1}, m_{2}, g \), and \( L \). Do not include \( f \) in your answer.
View Available Hint(s)
\[
F_{\mathrm{min}}=\square
\]
Submit
< Return to Assignment
Provide Feedback
