Copy Rigid Body Mechanics Equations
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A.3 Work, Energy and Power Equations - LaTeX
\( \tau = Fr\sin(\theta) \)
\( \Delta \theta = \frac{\omega_i + \omega_f}{2}t \)
\( \omega_f = \omega_i + \alpha t \)
\( \Delta\theta = \omega_{i}t + \frac{1}{2}at^2 \)
\( \omega_{f}^2 = \omega_{i}^2 + 2a\Delta\theta \)
\( I = \Sigma mr^2 \)
\( \tau = I\alpha \)
\( L = I\omega \)
\( \Delta L = \tau \Delta t \)
\( \Delta L = \Delta (I\omega) \)
\( E_k = \frac{1}{2}I\omega^2 = \frac{L^2}{2I} \)
A.4 Rigid Body Mechanics - Basic
τ = Fr sin θ
Δθ = (ωᵢ + ωf) / 2 • t
ωf = ωᵢ + αt
Δθ = ωᵢ t + ½ at²
ωf² = ωi² + 2aΔθ
I = Σmr²
τ = Iα
L = Iω
ΔL = τΔt
ΔL = Δ(Iω)
Ek = ½Iω² = L²/2I