First slide

Friction on horizontal surface

Question

A block of weight 100N is lying on a rough horizontal surface. If coefficient of friction 1/√3 . The least possible force that can move the block is

Moderate

A
$\frac{100}{\sqrt{3}} N$
B
$100 \sqrt{3} N$
C
$50 \sqrt{3} N$
D

50N

Solution

$W = m g = 100 N, μ = \frac{1}{\sqrt{3}}$
$μ = \tan ϕ = \frac{1}{\sqrt{3}} \Rightarrow ϕ = 30^{0}$ minimum force to pull the body is mg $\sin ϕ$

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