AP Physics 1 Unit 2 Equations - Force Dynamics

all different types i js needea get my act together mainly

Horizonal Motion

∑Fₓ = ma; ∑Fᵧ = 0 = Fₙ

Vertical Motion

T - mg = ma

Inclined Planes

Fₙ = mgcosθ; a = gsinθ; a = g(sinθ - µₖcosθ)

Atwood Machine

a = g(m₂ - m₁)/(m₂ + m₁); T = 2m₁m₂g/(m₂ + m₁); T = m₁(g + a)

Elevators and Scales

Fₙ = m(g + a) — don’t forget to determine sign of a (accelerating up or down)

Sliding

θ > tan⁻¹(µₛ) if object slides, ∴ fₛ = µₛFₙ (maximum static friction), but if not fₛ = mgsinθ; when about to slip µₛ = tanθₘₐₓ; when constant speed down µₖ = tanθ

Acceleration from measured drop

a = 2d/t²

Half-Atwood Machine (assume frictionless table)

a = mₕg/(mₕ + m꜀ₐᵣₜ)