In the following figure force F is gradually increased from zero. Draw the graph between applied force F and tension T in the string. The coefficient of static friction between the block and the ground is $μ_{s}$ .

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Solution

The correct option is B

As the external force F is gradually increased from zero it is compensated by the friction and the string bears no tension. When limiting friction is achieved by increasing force F to a value till $μ_{s}$ mg, the further increase in F is transferred to the string.

$When [\begin{matrix} F < μ_{s} m g; The friction is static and T = 0 F \geq μ_{s} m g; T = F - μ_{s} m g \end{matrix}]$

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