Friction on two blocks simple help

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SUMMARY

The discussion centers on a physics problem involving two blocks with masses of 4.0 kg and 5.0 kg, where a horizontal force of at least 17 N is required to make the top block slip on the bottom block. The maximum horizontal force F that can be applied to the lower block, allowing both blocks to move together, is calculated to be 38.2 N. The importance of static friction in maintaining the connection between the blocks is emphasized, and a free body diagram is recommended for clarity in setting up the equations.

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  • Understanding of Newton's laws of motion
  • Knowledge of static friction and its role in motion
  • Ability to draw and interpret free body diagrams
  • Basic algebra for solving equations
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  • Learn how to draw and analyze free body diagrams in physics
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vsage
OK I was helping a friend with his physics HW but I can't remember for the life of me how to do this.

A block of mass 4.0 kg is put on top of a block of mass M = 5.0 kg. To cause the top block to slip on the bottom one, while the bottom one is held fixed, a horizontal force of at least 17 N must be applied to the top block. The assembly of blocks is now placed on a horizontal, frictionless table

Find the magnitude of the maximum horizontal force F that can be applied to the lower block so that the blocks will move together.

Any hints?
 
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Draw a free body diagram of the situation. You need to remember that static friction is the one keeping the top block and the bottom block together, so keep this in mind when setting up the equations.
 
Thanks. Nevermind we had a right answer previously but the computer wasn't accepting 38.24 as an answer but listed the answer as 38.2. Stupid huh?
 

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