6.3.C—Relate the change in angular momentum of an object or rigid system to the angular impulse given to that object…

Relate the change in angular momentum of an object or rigid system to the angular impulse given to that object or rigid system.

• The magnitude of the change in angular momentum can be described by comparing the magnitudes of the final and initial momenta of the object or rigid system.
• A rotational form of the impulse–momentum theorem relates the angular impulse delivered to an object or rigid system and the change in angular momentum of that object or rigid system.
  • i. The angular impulse exerted on an object or rigid system is equal to the change in angular momentum of that object or rigid system. Relevant equation:
  • ii. The rotational form of the impulse– momentum theorem is a direct result of Newton’s second law of motion for cases in which rotational inertia is constant.
• The net torque exerted on an object or rigid system is equal to the slope of the graph of the angular momentum of an object as a function of time.
• The angular impulse delivered to an object or rigid system is equal to the area under the curve of a graph of the net external torque exerted on an object as a function of time.