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A small box of mass is sitting on a board of mass and length. The board rests on

ID: 2233235 • Letter: A

Question

A small box of mass is sitting on a board of mass and length. The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is . The coefficient of kinetic friction between the board and the box is, as usual, less than . Throughout the problem, use for the magnitude of the acceleration due to gravity. In the hints, use for the magnitude of the friction force between the board and the box. Find , 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 will then fall off of the opposite end of the board). Express your answer in terms of some or all of the variables

Explanation / Answer

As the system accelerates from the applied force, the box experiences a force against friction equal to m1*a. When that force exceeds the frictional force, the box will slide. Fr =