Question

A block of mass M is placed on a rough inclined plane having angle of inclination ${45}^o$. The friction is 0.5. What s the acceleration of the block down the inclined plane ?Acceleration due to gravity is g.

• A. 0.20 g
• B. 0.25 g
• C. 0.30 g
• D. 0.35 g

Answer 1

The correct option is D 0.35 g

Consider the accelerations for as shown in the diagram above:

Component of gravitation force - Friction force= Net Force

$Mg\sin \theta -\mu Mg\cos \theta =Ma$

$a=g\sin {45}^o-\mu g\cos {45}^o$

$a=g\frac{1}{\sqrt{2}}-0.5g\frac{1}{\sqrt{2}}$

$a=0.35g$