Static friction between two surfaces

  • A

    Prevents the relative motion between them

  • B

    Opposite to the direction of motion of them

  • C

    Acts in opposite direction of applied force

  • D

    Both $(a)$ and $(b)$

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  • [NEET 2023]

Block $B$ of mass $100 kg$ rests on a rough surface of friction coefficient $\mu = 1/3$. $A$ rope is tied to block $B$ as shown in figure. The maximum acceleration with which boy $A$ of $25 kg$ can climbs on rope without making block move is: