$A$ wooden block of mass $10\,kg$ is placed on a rough horizontal surface. $A$ force of $49\,N$ is required to pull it. Find the coefficient of friction and the angle of friction.

  • A
    $\mu = 0.5, \theta = 26^{\circ} 34^{\prime}$
  • B
    $\mu = 0.4, \theta = 20^{\circ} 34^{\prime}$
  • C
    $\mu = 0.6, \theta = 30^{\circ} 34^{\prime}$
  • D
    $\mu = 0.5, \theta = 45^{\circ}$

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$A$ block of mass $M$ is placed on a rough surface with a coefficient of friction $\mu = 3$. If the applied force $F$ is $(4/5)$ of the minimum force required to just move the block,find the total force exerted by the ground on the block.

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Given below are two statements:
$Statement$ $(I)$: The limiting force of static friction depends on the area of contact and is independent of materials.
$Statement$ $(II)$: The limiting force of kinetic friction is independent of the area of contact and depends on materials.
In the light of the above statements,choose the most appropriate answer from the options given below:

$A$ body of mass $1 \, kg$ rests on a horizontal floor with which it has a coefficient of static friction $\frac{1}{\sqrt{3}}$. It is desired to make the body move by applying the minimum possible force $F \, N$. The value of $F$ will be (Nearest Integer). [Take $g = 10 \, m s^{-2}$]

If the coefficient of friction is $\sqrt{3}$,what is the angle of friction between the two surfaces in contact (in $^{\circ}$)?

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