What Is the Maximum Angle Before Slipping on an Inclined Plane?

AI Thread Summary
To determine the maximum angle before slipping occurs on an inclined plane with a coefficient of friction (mu) of 0.2, the frictional force must balance the gravitational component acting along the ramp. The equations used include F(friction) = mu * Normal Force and F(net) = 0. By setting the frictional force equal to the gravitational force component, the relationship can be established as 0.2 * F(gravity) = F(gravity) * tan(theta). Solving this equation will yield the maximum angle of inclination before slipping happens. The discussion emphasizes the importance of understanding the balance of forces on an inclined plane.
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Homework Statement


If mu = 0.2 find the maximum angle before slipping occurs
Diagram: A ramp in the shape of a right triangle that is 30 degrees above the horizontal. A mass is on the ramp and tied to it is a string that runs around the ramp to the vertical side of the ramp where another mass is held in the air.

Homework Equations


F(net)=ma
F(friction)=(mu)*(Normal Force)

The Attempt at a Solution


F(friction) = 0.2*(Normal Force)
F(net) = 0
F(friction)-(Fgravitytan(theta))=0
0.2F(gravity) - (Fgravitytan(theta)) = 0
 
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