Conservation of Angular Momentum - Problem understanding this scenario

  • #1
jonhswon
10
4
Hello,

As far I know, in a closed system both, linear and angular monentums, are conserved.

İmagine such a scenario: everything is motionless, both momentums zero initially, then from a disk are fired (compressed spring push) two equal mass balls at same speed but opposite direction. Now balls fly away and disk is spinning. Linear momentum after firing is still zero, but angular momentum is not? What is happening?

(All usual assumptions in place, inertial reference, massless springs, etc..)

Thnaks in advance.

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  • #2
jonhswon said:
angular momentum is not
Have you taken into account the angular momentum of the balls?
 
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  • #3
... an object moving in a straight line at constant velocity has angular momentum about any point not on the line of motion.

Note also that angular momentum is always measured relative to some point.
 
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  • #4
OMG I was so blind. Thanks a lot !
 
  • #5
I first had this discussion the other way round when a classmate at university lobbed a shoe at the door to shut it. It's quite neat how the changing tangential component of linear velocity cancels with the changing radial distance to produce a constant angular momentum for an object in linear motion.
 
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1. How does conservation of angular momentum work?

Conservation of angular momentum states that the total angular momentum of a system remains constant if no external torque acts on it. This means that if a rotating object changes its shape or size, its angular velocity will adjust to compensate for the change, keeping the total angular momentum constant.

2. What is angular momentum?

Angular momentum is a measure of the rotational motion of an object. It is the product of an object's moment of inertia and its angular velocity. In simpler terms, it is the quantity that describes how fast an object is spinning and how spread out its mass is from the axis of rotation.

3. How is angular momentum conserved in a closed system?

In a closed system where no external torques are present, the total angular momentum remains constant. This means that the initial angular momentum of the system will be equal to the final angular momentum, even if individual components within the system change their rotational motion.

4. How does conservation of angular momentum apply to everyday situations?

Conservation of angular momentum can be observed in various everyday scenarios, such as figure skaters spinning faster when they pull their arms in or satellites maintaining their orbit around a planet without using propulsion. These examples demonstrate the principle that angular momentum is conserved in the absence of external torques.

5. What are some common misconceptions about conservation of angular momentum?

One common misconception is that angular momentum is only conserved when an object is rotating at a constant speed. In reality, conservation of angular momentum applies to any changes in rotational motion within a closed system, as long as no external torques are present. Another misconception is that angular momentum is the same as linear momentum, when in fact they are distinct quantities that describe different types of motion.

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