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A boy of mass M is applying a horizontal...

A boy of mass M is applying a horizontal force to slide a box of mass `M_(1)` on rough horizontal surface. The coefficient of friction between the shoe of the boy and the floor is `mu` and that between the box and the floor is ‘`mu_(1)`’ In which of the following cases is it certainly not possible to slide the box ?

A

`multmu_(1), M ltM_(1)`

B

`mugt mu_(3), M gt M_(1)`

C

`mu lt mu_(1), M gt M_(1)`

D

`mu gt mu_(1), M lt M_(1)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A body of mass M is applying horizontal force to slide a box of mass M_(1) on a rough horizontal surface The coefficient of friction between the shoe of the boy and the floor is mu and that between the box and the floor is 'mu_(1)' In which of the following cases is it certainly not possible to slide the box ? .

    A
    `mu lt mu_(1),M lt M_(1)`
    B
    `mu gt mu_(1),Mgt M_(1)`
    C
    `mu lt mu_(1), Mgt M_(1)`
    D
    `mu_(1) gtmu_(1), M ltM_(1)`
  • 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 4 and that between the box and the floor is mu . In which of the following cases, it is certainly not possible to slide the box?

    A
    `mu lt mu ,M lt M'`
    B
    `mu gt mu' , M lt M'`
    C
    `mu lt mu', M gt M'`
    D
    `mu gt mu' M gt M'`
  • A mass m rests under the action of a force F as shown in the figure-2.158 on a horizontal surface. The coefficient of friction between the mass and the surface is mu . The force of friction between the mass and the surface is :

    A
    `mumg`
    B
    `mu[mg+(F)/(2)]`
    C
    `(Fsqrt(3))/(2)`
    D
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