🎯

Learning Goal

Part of: Motion in Two Dimensions4 of 5 chapter items

Inclined Planes

5.4

"When there is no motion between the objects, the magnitude of static friction f_s is f_s ≤ μ_s N ... this equation says that static friction can have a maximum value of μ_s N. ... Once an object is moving, the magnitude of kinetic friction f_k is given by f_k = μ_k N." "When an object rests on an incline that makes an angle θ with the horizontal, the force of gravity acting on the object is divided into two components: A force acting perpendicular to the plane, w_⊥, and a force acting parallel to the plane, w_∥. ... w_∥ = w sin(θ) = mg sin(θ) and w_⊥ = w cos(θ) = mg cos(θ)." "μ_k = (mg sin θ)/(mg cos θ) = tan θ."

Show more

"When there is no motion between the objects, the magnitude of static friction f_s is f_s ≤ μ_s N ... this equation says that static friction can have a maximum value of μ_s N. ... Once an object is moving, the magnitude of kinetic friction f_k is given by f_k = μ_k N."
"When an object rests on an incline that makes an angle θ with the horizontal, the force of gravity acting on the object is divided into two components: A force acting perpendicular to the plane, w_⊥, and a force acting parallel to the plane, w_∥. ... w_∥ = w sin(θ) = mg sin(θ) and w_⊥ = w cos(θ) = mg cos(θ)."
"μ_k = (mg sin θ)/(mg cos θ) = tan θ."

What you'll learn

  1. Distinguish static friction from kinetic friction and state when each acts
  2. Apply f_s ≤ μ_s N, f_s(max) = μ_s N, and f_k = μ_k N to compute friction forces
  3. Resolve an object's weight into components parallel and perpendicular to an inclined plane
  4. Find the normal force and the acceleration of an object on an incline, with and without friction
  5. Use the constant-velocity slide condition μ_k = tan θ to determine a coefficient of kinetic friction

Slides

Interactive presentations perfect for visual learners • In development

Slides

In development

Not yet available • Check back soon!