Total Angular Momentum of a dumbbell

In summary, Total Angular Momentum is a physical quantity that describes the rotational motion of an object around a fixed axis. It is calculated by multiplying the moment of inertia of the object by its angular velocity. In a dumbbell, the Total Angular Momentum determines its stability and orientation. The factors that affect it include the mass distribution, distance between weights, and angular velocity. The Total Angular Momentum of a dumbbell can change due to changes in these factors or external forces acting on the dumbbell.
  • #1
chiurox
35
0

Homework Statement


A dumbbell consists of two small balls attached to the ends of a 1.0m rod of negligible mass. Ball1 has a mass of 1.0kg and ball2 has a mass of 3.0kg. The dumbbell rotates about a fixed vertical axis midway between the balls, with an angular speed of 1/pi rev/s. What is the total angular momentum of the dumbbell?


Homework Equations




The Attempt at a Solution



I=mr^2
L=wI
w=2 (since the angular speed is 1/pi rev/s?)
r^2=0.25m
m=4kg
L=2 kg*m²/s
would that be right?
 
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  • #2
Seems OK to me.
 
  • #3
Perfect.
 

What is Total Angular Momentum?

Total Angular Momentum is a physical quantity that describes the rotational motion of an object around a fixed axis. It is the combination of the object's spin and orbital angular momentum.

How is Total Angular Momentum calculated?

Total Angular Momentum can be calculated by multiplying the moment of inertia of the object by its angular velocity.

What is the significance of Total Angular Momentum in a dumbbell?

In a dumbbell, the Total Angular Momentum is important because it determines the stability and orientation of the dumbbell as it rotates around a fixed axis.

What factors affect the Total Angular Momentum of a dumbbell?

The Total Angular Momentum of a dumbbell is affected by the mass distribution of the two weights, the distance between them, and the angular velocity of the dumbbell.

Can the Total Angular Momentum of a dumbbell change?

Yes, the Total Angular Momentum of a dumbbell can change if there is a change in the mass distribution, distance between weights, or angular velocity of the dumbbell. It can also be affected by external forces acting on the dumbbell.

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