Explain why a body placed on a rough plane will slide when the angle of inclination is increased.

Explain why a body placed on a rough plane will slide when the angle of inclination is increased.

A body of mass, m placed on a plane inclined at an angle θ above the horizontal has its component mgsinθ downwards along the plane. Since the plane is rough, mgsinθ causes the frictional force Fr which prevents the body from sliding.

As θ increases, mgsinθ exceeds maximum Fr and the body slides.

 

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