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What is the minimum force required to pull a mass m over a horizontal surface where coefficient of friction between the mass and the surface is `mu`?

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Calculate the minimum force required to drag a body of mass m, resting on a horizontal surface. The coefficient of friction between the body and the surface is mu .

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Knowledge Check

  • 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 mu and that between the box and the floor is mu '. In which of the following case it is certainly not possible to slide the box?

    A
    `mu lt mu',MltM'`
    B
    `mugtmu',MltM'`
    C
    `multmu',MgtM'`
    D
    `mugtmu',MgtM'`

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    A horizontal force F is applied on a uniform sphere of radius r and weight W and as a result, the sphere slides over the horizontal table. If the coefficient of friction between the sphere and the table is mu , then show that h =r (1- (muW)/(F)) .

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