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APPLIED MECHANICS AND PHYSICS NOTIONS, Resultant of External Forces: is…

- - - - m * dv / dt
        
        dQ /dt
        
        Σ Fe = dQ / dt
        
        .
        
        EQUILIBRIUM EQUATIONS
        
        Fe + Fi = 0
        TeG + TiG = 0
        
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        CONSERVATION
        THEOREM
        
        Conservation of linear momentum
        dQ / dt = Σ Fe = 0, Q = const
        Conservation of angular momentum
        dKG / dt = Σ MG = 0, KG = const
        
        IMPULSE THEOREM
        
        Angular impulse
        Mo * dt = ∆ p x (m * V)
        Linear impulse
        Fe dt = ∆ m V
  - - - T
        
        r * F
        
        r * m * a
        
        r * m * dv / dt
        
        r * dQ /dt
        
        dL / dt
        
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        r * Fc
        
        r * m * ac
        
        r * m * ω * r / dt
        
        r^2 * m * ω / dt
        
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      - Inertia Moment
        
        MiG = - IG * α
        
        Dynamically balanced
        
        Σ MiG = 0
        
        .
        
        Central inertia axis
        when rotation happens on a principal inertia axis and through the center of mass.
  - - - Statically balanced
        
        Σ Fi = 0
- - - - Q
        
        m * v
        
        r * m * v
      - Conservation of Momentum
        
        ∆Q = 0
        
        Q = const
        
        m1 v1 + m2 v2 = m1 V1 + m2 V2
  - - - L = const
- - - - m * r^2