Question
A block placed on a rough horizontal surface is pulled by a horizontal force F. Let f be the force applied by the rough surface on the block. Plot a graph of f versus F.

Answer

When a small force $F_1$ is applied on a heavier box, it does not move At this state force of friction $f_1$ is equal to $F_1$. On increasing force box does not move till $F=F_S$ the maximum static frictional or limiting force. Its corresponding frictional force $f_S$ on $Y$-axis.
 
After force $F_s$, the frictional force decrease i.e., less force $\text{F}_\text{k}<\text{F}_\text{s}$ is applied on body and it starts to move with less friction $\text{f}_\text{k}<\text{f}_\text{s}$A = limiting frictional force and at $B =$ kinetic frictional force.

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