Friction between two bodies (theoretical situation)

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SUMMARY

The discussion centers on the dynamics of two bodies, A and B, under the influence of external forces and friction. When a force applied to body B exceeds the static friction between B and the floor, B will begin to move. Once in motion, the scenario transitions to kinetic friction, which is generally lower than static friction. If the net force on B, after accounting for kinetic friction, surpasses the static friction between A and B, body A will also begin to move backwards.

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  • Understanding of static and kinetic friction
  • Basic principles of Newtonian mechanics
  • Familiarity with force diagrams
  • Knowledge of friction coefficients for different materials
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Students of physics, mechanical engineers, and anyone interested in understanding the principles of friction and motion between interacting bodies.

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What happens if we apply on B a force bigger than the static friction with the floor and also bigger than the static friction with the upper body A, but smaller than their sum? Will B move? what about A?
 

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You are applying the force to B? Then, since the force is greater than the static friction between B and the floor, B will start to move. Once it has started to move, the problem reverts to "kinetic friction". The net force on B will be the total force minus the kinetic friction force. If that is larger than the static friction between A and B, then A will slip backwards. Static friction is not, in general the same as kinetic friction so just knowing that the force is greater than the sum of the two static frictions is not enough. It is true that, for most materials, the kinetic friction is less than the static friction. In that case, if force> static friction + static friction> kinetic friction + static friction, yes, A will move.
 

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