Board Pulled Out from under a Box Par A small box of mass m is siting on a board

Question

Board Pulled Out from under a Box Par A small box of mass m is siting on a board of mass m2 and length L Figure 1). 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 14. Throughout the problem, use g for the magnitude of the acceleration due to gravity, In the hints, use Fr for the magnitude of the friction force between the board and the box. Figure 1 of 1

Explanation / Answer

Let, the acceleration of block m1 due to applied force = a

F = m1*a ------(1)

Friction force b/w block and board,

Ff = us*m1*g --------(2)

Here,

F = Ff

From equation (1) and (2)

m1*a = us*m1*g

a = us*g

Minimum applied force to the board in order to pull the board ,

Fmin = (m1 + m2) * a

put the value of a,

Fmin = (m1 + m2) * us*g

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