Momentum (Linear and Angular)

Momentum (Linear and Angular)

1. Conservation of momentum

   • Conservation of energy
     • Think of energy as a bank account. Energy can be withdrawn, at which point it changes form but it does NOT disapear 
   • Total momentum of an isolated system is conserved/constant which means that Pf=Pi and Δp = 0, in all directions/dimensions
     • (if the sum of external forces = 0 is negligible AND no mass enters or leaves)
     • If ΣWork > 0 then there is ΔP(>0)
     • 2 Body Collisions (Linear Momentum)
       • Elastic
         • A perfectly elastic collision is defined as one in which there is no loss of kinetic energy in the collision
           • One Dimensional
           • Two Dimensional
             • • To find theta between two elastic collisions, use
           • To find velocities, we use relative velocity trick, (v2 − v1)f = −(v2 − v1)i
       • Inelastic
         • An inelastic collision is one in which part of the kinetic energy is changed to some other form of energy in the collision.

2. Linear

   • Vector
     • M= Kg
     • V= M/s
     • Kgm/s

3. Angular Momentum= L

   • Vector quantity
     • Moment of Inertia - Kg x meters^2
       • The rotational analog to mass- it represents an objects rotational inertia. An object's rotational inertia is determined by the chosen axis of rotation and is additive.
         • Parallel axis theorem: The moment of inertia of a parallel axis is equal to the moment of inertia of an object's center of mass + the total mass x the distance between the center of mass and the parallel axis of rotation
     • Angular Velocity- ω
       • Rad/s -> = V/r

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