Friction On Stacked Block

A slab (dark brown) of mass m1=40 kgm_1 = \SI{40}{\kilo\gram} rests on a frictionless floor (orange), and a block (light brown) of mass m2=10 kgm_2 = \SI{10}{\kilo\gram} rests on top of the slab. The block m2m_2 is pulled by a horizontal force FF.

What is the greatest force, FmaxF_\textrm{max} (in N\si{\newton}), such that m1m_1 and m2m_2 will move together?

Assumptions and Details

  • Use g=9.8 m/s2 g = \SI[per-mode=symbol]{9.8}{\meter\per\second\squared}
  • The coefficients of static friction and kinetic friction between the block and the slab are μs=0.6\mu_s = 0.6 and μk=0.4\mu _k = 0.4, respectively.

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