Point of Reference for Conservation of Angular Momentum

In summary: When analyzing the conservation of angular momentum, it is important to use the same point of reference for both before and after measurements. However, if the total linear momentum is zero, the angular momentum is independent of the reference point. Similarly, if the total force is zero, the torque is also independent of the reference point. This concept may seem confusing, but it is necessary for accurately analyzing the conservation of angular momentum in any system.
  • #1
angelatan
1
0
When analyzing the conservation of angular momentum of a particular system, should we use the same p.o.r. before and after or can we use different p.o.r.'s? As far as I know, we should always use the same reference, but sometimes I see several solutions that use different references in my textbook.

Thank you for your help, and pardon my awkward English
 
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  • #2
You need to use the same point of reference if the total linear momentum is non-zero. In the same fashion, angular momentum can be preserved with respect to one reference point while not being conserved with respect to another if the total force is non-zero.

If the total linear momentum is zero, the angular momentum is independent of the reference point. If the total force is zero, the torque is independent of the reference point.
 
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  • #3
Orodruin said:
You need to use the same point of reference if the total linear momentum is non-zero. In the same fashion, angular momentum can be preserved with respect to one reference point while not being conserved with respect to another if the total force is non-zero.

If the total linear momentum is zero, the angular momentum is independent of the reference point. If the total force is zero, the torque is independent of the reference point.

Can you please explain it further?
 
  • #4
Quantum Aravinth said:
Can you please explain it further?
Not unless you point out what parts you have problems with.
 
  • #5
Orodruin said:
Not unless you point out what parts you have problems with.

I was entirely confused,
Can you please explain it with a simple system? Be it any system
 

Related to Point of Reference for Conservation of Angular Momentum

1. What is the definition of "Point of Reference for Conservation of Angular Momentum"?

The point of reference for conservation of angular momentum is a fixed point or axis around which an object rotates and maintains its angular momentum. It is a fundamental concept in physics that states that the total angular momentum of a closed system remains constant unless acted upon by an external torque.

2. How is the point of reference determined?

The point of reference is typically chosen based on the symmetry or axis of rotation of the system. For example, in a spinning top, the point of reference would be the tip of the top, while in a rotating wheel, the point of reference would be the center of the wheel. It can also be chosen arbitrarily, as long as it remains consistent throughout the calculations.

3. What is the significance of the point of reference in conservation of angular momentum?

The point of reference is important because it allows us to calculate and quantify the conservation of angular momentum in a system. By choosing a fixed point, we can measure and compare the angular momentum of different objects or systems and determine how they change over time.

4. Can the point of reference change in a system?

Yes, the point of reference can change in a system if an external torque is applied. This is because the total angular momentum of the system must remain constant, so if the point of reference changes, the angular momentum of the objects in the system must also change to compensate.

5. How does the point of reference affect the conservation of angular momentum?

The point of reference does not affect the conservation of angular momentum itself, but it does affect how we measure and calculate it. By choosing a different point of reference, we may get different values for the angular momentum of the system, but the total amount of angular momentum will always remain the same.

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