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A block of weight 100N is lying on a rou...

A block of weight `100N` is lying on a rough horizontal surface.If coefficient of friction `1/sqrt3`.The least possible force that can move the block is

A

`(100)/(sqrt3)N`

B

`100sqrt3N`

C

`50sqrt3N`

D

50N

Text Solution

Verified by Experts

The correct Answer is:
D
`F=(mu_(s)mg)/(sqrt(mu_(s)^(2)+1))`
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Knowledge Check

  • A block of mass m is placed on another block of mass M which itself is lying on a horizontal surface .The coefficient of friction between two blocks is mu_(1) and that between the block of mass M and horizontal surfece is mu_(2) What maximum horizontal force can be applied to the lower block move without separation?

    A
    `(M +m) (mu_(2) - mu_(1))g`
    B
    `(M - m) (mu_(2) - mu_(1))g`
    C
    `(M - m) (mu_(2) + mu_(1))g`
    D
    `(M +m) (mu_(2) + mu_(1))g`

  • A cubical block of side L rests on a rough horizontal surface with coefficient of friction mu . A horizontal force F is applied on the block as shown. If the coefficient of frictions sufficienty high so that the block does not slide before toppling, the minimum force required to topple the block is : .

    A
    infinitesimal
    B
    `mg//4`
    C
    `mg//2`
    D
    `mg (1- mu)`

  • A cubical block of side L rests on a rough horizontal surface with coefficient of friction mu . A horizontal force F is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

    A
    Infinitesimal
    B
    `mg//4`
    C
    `mg//2`
    D
    `mg(1-mu)`