Question
A body of mass m is placed on a rough inclined plane of inclination θ and coefficient of friction μ, such that tan θ > μ. Find the acceleration of body down the inclined plane.
Solution
Let a body of mass 'm' be placed on the inclined plane of inclination θ as shown in the figure. Since tan θ > μ.
Therefore,
Body will accelerate in downward direction and is in equilibrium perpendicular to inclined plane.
Now,
Net force acting on the body in downward direction along the plane is,
Acceleration of body along inclined plane is,