Question

A block of mass $10kg$ is kept on a rough inclined plane as shown in the figure. A force of $3N$ is applied on the block. The coefficient of static friction between the plane and the block is $0.6$. What should be the minimum value of force $P$, such that the block does not move downward? (take $g=10m{s}^{-2}$)

• A. $32N$
• B. $25N$
• C. $44N$
• D. $18N$

Answer 1

The correct option is A $32N$

$mg\sin {45}^o=\frac{100}{\sqrt{2}}=50\sqrt{2}$
$\mu mg\cos \theta =0.6\times mg\times \frac{1}{\sqrt{2}}=0.6\times 50\sqrt{2}$
$P=31.28\simeq 32N$