$A$ block of mass $3 \,kg$ is pressed against a vertical wall by applying a force $F$ at an angle $30^{\circ}$ to the horizontal as shown in the figure. As a result, the block is prevented from falling down. If the coefficient of static friction between the block and wall is $\mu = \sqrt{3}$, then the value of $F$ is (use $g=10 \,m/s^2$):

  • A
    $30 \,N$
  • B
    $15 \sqrt{3} \,N$
  • C
    $60 \sqrt{3} \,N$
  • D
    $60 \,N$

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