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<!DOCTYPE html>
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<h2>Copy Rigid Body Mechanics Equations</h2>
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<h3>A.3 Work, Energy and Power Equations - LaTeX</h3>
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\( \tau = Fr\sin(\theta) \)
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\( \omega_f = \omega_i + \alpha t \)
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<!-- Angular Displacement (Alternative Form) Equation -->
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\( \Delta\theta = \omega_{i}t + \frac{1}{2}at^2 \)
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<!-- Final Angular Velocity Squared Equation -->
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\( \omega_{f}^2 = \omega_{i}^2 + 2a\Delta\theta \)
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<!-- Torque as Moment of Inertia times Angular Acceleration Equation -->
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\( \tau = I\alpha \)
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\( L = I\omega \)
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<!-- Change in Angular Momentum (Delta L) Equation -->
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\( \Delta L = \tau \Delta t \)
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\( \Delta L = \Delta (I\omega) \)
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<!-- Kinetic Energy of Rotation Equation -->
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\( E_k = \frac{1}{2}I\omega^2 = \frac{L^2}{2I} \)
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<h3>A.4 Rigid Body Mechanics - Basic</h3>
<div class="equation-grid">
<!-- Torque Equation -->
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<div class="equation">τ = Fr sin θ</div>
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<!-- Angular Displacement Equation -->
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<div class="equation">Δθ = (ωᵢ + ωf) / 2 • t</div>
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<!-- Angular Velocity Equation -->
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<div class="equation">ωf = ωᵢ + αt</div>
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<div class="equation">Δθ = ωᵢ t + ½ at²</div>
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<div class="equation">ω<sub>f</sub>² = ω<sub>i</sub>² + 2aΔθ</div>
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<div class="equation">τ = Iα</div>
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<!-- L Equation -->
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<div class="equation">Ek = ½Iω² = L²/2I</div>
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