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A blocky of mass m rests on a horizotal ...

A blocky of mass m rests on a horizotal floor with which it has a coefficient of static friction `mu.` It is desired to make the body move by applying the minimum possible force F. Find the magnitude of F and the direction in which it has be applies.

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To solve the problem of finding the minimum force \( F \) required to move a block of mass \( m \) resting on a horizontal floor with a coefficient of static friction \( \mu \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify Forces Acting on the Block**: - The weight of the block \( W = mg \) acts downward. - The normal force \( N \) acts upward. - The static friction force \( f_s \) acts opposite to the direction of applied force \( F \). ...
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Knowledge Check

  • A body of mass m rests on a horizontal floor, with which it has a coefficient of static friction mu . It is desired to make the body move by applying the minimum possible force F. The magnitude of F is

    A
    `mu mg `
    B
    `( sqrt(1+ mu^2))/(mu) mg`
    C
    `mu sqrt(1 + mu^2) mg `
    D
    `(mu m g )/( sqrt(1+mu^2))`
  • A block of mass 2 kg is kept on a rough horizontal floor an pulled with a force F. If the coefficient of friction is 0.5. then the minimum force required to move the block is :-

    A
    10 N
    B
    `100/11 N`
    C
    `100/8 N`
    D
    20 N
  • A homogeneous block rests against a vertical wall for which the coefficient of friction is 1//2 . A force 'F' is applied to the block in the direction as shown in figure. Find the maximum magnitude of applied force 'F' such that block remains in rest.

    A
    mg
    B
    5mg
    C
    `mg //5`
    D
    `mg//2`
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