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Two stacked blocks: largest force for which they move together

This type of question, asked 2 times: 2021 Paper 19, 27 Jun 2022. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 19

    30
    The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is ______ N. (take  g=10 ms−2)\left. \ g = 10{\text{ }ms}^{- 2} \right)
  2. Question 2

    27 Jun 2022

    4
    A system of two blocks of masses m=2 kgm = 2\text{ }kg and M=8 kgM = 8\text{ }kg is placed on a smooth table as shown in figure. The coefficient of static friction between two blocks is 0.5. The maximum horizontal force FF that can be applied to the block of mass MM so that the blocks move together will be:

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