Rotational Motion

Energy
1. Energy Bar Graphs
  1. Used to show the energy before and after, as well as the system
  2. Energy Statement
    1. Conserved
      1. No outside torques
      2. E₀ = E
    2. Not Conserved
      1. E₀ ≠ E
      2. Outside torque acts on the system
    3. Used to show if there are outside torques
  3. Energy Types
    1. Ug
      1. Gravitational Energy
      2. Regular Motion
        mgh
      3. Orbits
        (Gm₁m₂)/(r²)
    2. Kₜ
      1. Translational Energy
      2. ½mv²
    3. Kᵣₒₜ
      1. Rotational Energy
      2. ½Iα²
  4. System
    1. What objects are being affected by the torques
    2. Earth
      1. If no earth in system, use no Ug
Forces
1. ΣF = ma
  1. Mass
    1. Use Kilograms
  2. Linear Variables
    1. Bridge Equations
      1. α = a/r
      2. ω = v/r
    2. a
    3. v
  3. Forces
    1. Fₜ
      1. Use both rotational and linear 2nd law to solve for
      2. Force of tension
    2. Fg
      1. mg
      2. Force of Gravity; always faces straight down
    3. Fₙ
      1. Normal Force
      2. Use both rotational and linear 2nd law to solve for
    4. Fₛ
      1. Static Friction (no slipping)
      2. Use both rotational and linear 2nd law to solve for
2. Στ = Iα
  1. Inertia
    1. How difficult it is to accelerate an object
    2. c mr²
      1. Value of c varies based on the shape and type of an object
        A larger c means a smaller α
  2. Rotational Variables
    1. α
      1. Rotational acceleration
    2. ω
      1. Rotational Velocity
  3. Torque
    1. The rotational equivalent of force
    2. Fr

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Rotational Motion

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