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

Solution

## The correct option is D 0.35 gConsider the accelerations for  as shown in the diagram above:Component of gravitation force - Friction force= Net Force$$Mg\sin \theta -\mu Mg\cos \theta =Ma$$  $$a=\ g\sin {{45}^{o}}- \mu g\cos {{45}^{o}}$$  $$a=g\dfrac{1}{\sqrt{2}}-0.5g\dfrac{1}{\sqrt{2}}$$  $$a=0.35\,g\$$Physics

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