A boy of mass M is applying a horizontal force to slide a box of mass M' on a rough horizontal surface. The coefficient of friction between the shoes of the boy and the floor is μ and that between the box and the floor is μ'. In which of the following cases it is certainly not possible to slide the box?

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KollegeApply · Accepted Answer

μ < μ', M < M' Let T be the force applied by the boy on the block. Free body diagram for the box: The condition for preventing the slide is fmax > T μ'M'g > T (i) Now see the free body diagram of a boy of mass M: fmax = μmg The condition for preventing the slide is fmax > T μmg > T The condition for sliding the entire system (block and boy) is f' > f (block is not slide) μ'M'g > μmg μ'M' > μm μ < μ' m < M' [Solution diagram: 66595_solution_1.png] [Solution diagram: 66595_solution_2.png] [Solution diagram: 66595_solution_3.png]

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