Angle of Repose

Angle of repose θr = tan⁻¹(μ): the steepest incline at which the object just stays at rest. If θ ≤ θr it stays (static friction f = mg·sinθ); if θ > θr it slides with a = g(sinθ − μ·cosθ). The mass cancels out, so it changes the forces but not whether the object slides. Arrows are drawn in units of mg.