Angular Momentum of Multiple Particles

In summary, the equation L = Ʃ rn x mnVn represents the general formula for calculating angular momentum. It involves summing the angular momentum of each particle separately to determine the total angular momentum of a system. This equation is not related to any specific homework or coursework, but is a topic of interest in Physics. Unfortunately, there is no option to mark a thread as solved.
  • #1
x BlueRobot
25
0
L = Ʃ rn x mnVn

The general equation for calculating the angular momentum is given above, from what I understand would you use the rn x mnVn part of the equation for each particle, and then sum these values all together?

This isn't a homework or coursework question, I study Physics as a general interest.
 
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  • #2
Your understanding is correct. The angular momentum of a system of particles taken together is the sum of of the angular momentum of each particle taken separately.
 
  • #3
Hi x BlueRobot! Welcome to PF! :smile:
jbriggs444 said:
Your understanding is correct. The angular momentum of a system of particles taken together is the sum of of the angular momentum of each particle taken separately.

Yup! :biggrin:
 
  • #4
Thanks for your answer jbriggs444, and thanks for the welcome tiny-tim :biggrin:

Do you have a mark thread as solved option?
 
  • #5
x BlueRobot said:
Do you have a mark thread as solved option?

no! :smile:
 

1. What is Angular Momentum of Multiple Particles?

The angular momentum of multiple particles is a measure of their combined rotational motion. It takes into account the mass, velocity, and position of each particle in the system.

2. How is Angular Momentum of Multiple Particles calculated?

The angular momentum of multiple particles is calculated by multiplying the moment of inertia of the system by its angular velocity. Moment of inertia is calculated by summing the product of each particle's mass and its distance from the axis of rotation squared.

3. What does the conservation of Angular Momentum of Multiple Particles mean?

The conservation of angular momentum of multiple particles means that the total angular momentum of a system remains constant, as long as there are no external torques acting on the system. This means that if one particle in the system gains angular momentum, another particle must lose an equal amount of angular momentum.

4. How does the distribution of mass affect Angular Momentum of Multiple Particles?

The distribution of mass affects the angular momentum of multiple particles because it determines the moment of inertia of the system. A system with more mass concentrated at a greater distance from the axis of rotation will have a higher moment of inertia and therefore a higher angular momentum.

5. Can Angular Momentum of Multiple Particles be negative?

Yes, the angular momentum of multiple particles can be negative. This typically occurs when the direction of rotation is opposite to the chosen axis of rotation. However, the magnitude of the angular momentum remains the same regardless of its sign.

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