First slide

Static friction

Question

A block of weight W is held in equilibrium against a vertical wall by applying a horizontal force of 75 N. The surface of the wall is rough. Now, (consider $μ$ < l)

Moderate

A

$W < 75 N$
B

W = 75 N
C

W > 75 N
D

None of these

Solution

If W is in equilibrium f = W
But we know $f \leq μR$
Here R = 75 N
Hence W $\leq$ $μR$ or
( $W \leq μ (75)$ )
or $75 \geq \frac{W}{μ}$
$\Rightarrow 75 = \frac{W}{μ}$
or $75 > \frac{W}{μ}$
But $μ$ is generally less than 1
$∴ W < 75 N$

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