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Limiting Friction

Find the mini...

Question

Find the minimum value of ' $m$ ', for the sytem to be in equilibrium. Take $g = 10 m / s^{2}$ .

10 k g

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15 k g

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20 k g

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25 k g

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Solution

The correct option is D $25 k g$
From FBD of point,
$T_{2} sin 45^{\circ} = 100 N$
$T_{2} cos 45^{\circ} = T_{1}$
$\Rightarrow T_{1} = 100 N$
From FBD of block (limiting case)
$T_{1} \leq f = μ m g = 0.4 m g$
$\Rightarrow m \geq 25 k g$

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