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Standard XII

Physics

Kinetic Friction

The coefficie...

Question

The coefficient of friction between block & the mass is $0.5$ . Find the minimum value of $^{'} F^{'}$ needed to keep block at rest? $[g = 10 m / s^{2}]$

200 N

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100 N

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300 N

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500 N

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Solution

The correct option is C $200 N$

From the FBD, it is clear that $N = F$ .
For the block to remain at rest, $m g = f$
And since static friction is self-adjusting, $m g \leq f_{m a x}$
$f_{m a x} = μ N = μ F$
$∴ μ F \geq m g \Rightarrow F \geq \frac{m g}{μ}$
$∴ F \geq \frac{10 \times 10}{0.5} \Rightarrow F \geq 200 N$

$\to Q E D .$

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The coefficient of friction between block & the mass is 0.5. Find the minimum value of ′F′ needed to keep block at rest?[g=10 m/s2]

The correct option is C 200 NFrom the FBD, it is clear that N=F.For the block to remain at rest, mg=fAnd since static friction is self-adjusting, mg≤fmaxfmax=μN=μF∴μF≥mg⇒F≥mgμ∴F≥10×100.5⇒F≥200 N→QED.

The coefficient of friction between block & the mass is $0.5$ . Find the minimum value of $^{'} F^{'}$ needed to keep block at rest? $[g = 10 m / s^{2}]$