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183_notes:l_conservation [2021/05/11 18:56] – [Reminder] stumptyl | 183_notes:l_conservation [2021/05/11 19:05] (current) – [Angular Momentum is Conserved] stumptyl | ||
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===== Conservation of Angular Momentum ===== | ===== Conservation of Angular Momentum ===== | ||
- | You have read about the angular momentum principle and how systems with no net torque about a point experience no change in angular momentum. This is the final conservation principle of mechanics: the conservation of angular momentum. In these notes, you will learn how to predict the motion of systems using conservation of angular momentum, and resolve [[183_notes: | + | You have read about the angular momentum principle and how systems with no net torque about a point experience no change in angular momentum. This is the final conservation principle of mechanics: the conservation of angular momentum. |
==== Reminder ==== | ==== Reminder ==== | ||
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==== Angular Momentum is Conserved ==== | ==== Angular Momentum is Conserved ==== | ||
- | When a system experiences no net torque about a point, angular momentum is conserved. But, sometimes, there is no location about which a system experiences no net torque; other times, it might be difficult to find that point. Choosing the system appropriately will often ensure there is no external torque on the system. | + | **When a system experiences no net torque about a point, angular momentum is conserved.** But, sometimes, there is no location about which a system experiences no net torque; other times, it might be difficult to find that point. Choosing the system appropriately will often ensure there is no external torque on the system. |
For example, if the rotation occurs due to the torque exerted by some known object, putting that object into the system removes it from the surroundings. Thus that object is no longer considered to exert a torque on the system (a system cannot exert a torque on itself). The object transfers angular momentum to other parts of the system. This is a good method for dealing with the situations. | For example, if the rotation occurs due to the torque exerted by some known object, putting that object into the system removes it from the surroundings. Thus that object is no longer considered to exert a torque on the system (a system cannot exert a torque on itself). The object transfers angular momentum to other parts of the system. This is a good method for dealing with the situations. | ||
- | For the [[183_notes: | + | For the [[183_notes: |
If all the objects are in the system, there are no external torques hence, the initial and final angular momentum of the system are the same, | If all the objects are in the system, there are no external torques hence, the initial and final angular momentum of the system are the same, |