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

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SUMMARY

The maximum angle before slipping on an inclined plane with a coefficient of friction (mu) of 0.2 is determined using the equation F(friction) = mu * Normal Force. In this scenario, the net force is zero, leading to the equation 0.2 * F(gravity) - (Fgravity * tan(theta)) = 0. Solving this equation provides the critical angle at which slipping occurs, which is essential for understanding the dynamics of objects on inclined surfaces.

PREREQUISITES
  • Understanding of basic physics concepts such as forces and friction.
  • Familiarity with trigonometric functions, particularly tangent.
  • Knowledge of Newton's second law (F(net) = ma).
  • Ability to manipulate algebraic equations to solve for unknowns.
NEXT STEPS
  • Study the relationship between friction and inclined planes in more detail.
  • Learn how to derive the critical angle for different coefficients of friction.
  • Explore real-world applications of inclined planes in engineering and physics.
  • Investigate the effects of varying mass on the maximum angle before slipping occurs.
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in the principles of motion on inclined surfaces.

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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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