What is the Angular Momentum of a System with Two Rotating Particles?

Click For Summary
SUMMARY

The discussion focuses on calculating the angular momentum of a system consisting of two rotating particles attached to a rigid rod. The particles have masses of 4 KG and 3 KG, and the rod is 1 meter long, rotating about an axis perpendicular to its length. The angular momentum is derived using the formula L=Iw, where I is the moment of inertia calculated as I=MR² for point masses. The final calculation confirms that the angular velocity (ω) is 10 rad/s, leading to the conclusion that the angular momentum of the system is 0.5 kg·m²/s.

PREREQUISITES
  • Understanding of angular momentum and its formula L=Iw.
  • Knowledge of moment of inertia for point masses, specifically I=MR².
  • Familiarity with angular velocity and the relationship between linear velocity and radius.
  • Basic principles of rotational dynamics.
NEXT STEPS
  • Study the derivation of angular momentum for systems with multiple particles.
  • Learn about the conservation of angular momentum in closed systems.
  • Explore the effects of varying mass distributions on moment of inertia.
  • Investigate real-world applications of angular momentum in mechanical systems.
USEFUL FOR

This discussion is beneficial for physics students, mechanical engineers, and anyone interested in the principles of rotational dynamics and angular momentum calculations.

Jacob87411
Messages
170
Reaction score
1
A light, rigid rod 1 meter in length roatets about an axis perpendicular to its length and its center. Two particles of masses 4 KG and 3 KG are connected to the ends of the rod. What is the angular momentum of the system if the speeds of earch particle is 5 m /s

Curious if this is right

L=Iw
Both are point masses so I=MR^2, so I
=(4KG)(.5M^2) + (3KG)(.5^2)

w=r/v
w=.5/5 = 1/10

So plug this all back into L=IW

[(4KG)(.5M^2)+(3KG)(.5M^2)]x.1
 
Physics news on Phys.org
One slight change.

[tex]v=r\omega[/tex]

so:

[tex]\frac{v}{r}=\omega[/tex]
 
Ah so its 5/.5 so 10, thanks!
 

Similar threads

Replies
18
Views
8K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
3
Views
2K
  • · Replies 10 ·
Replies
10
Views
3K
Replies
17
Views
2K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
10
Views
3K
Replies
5
Views
2K
Replies
335
Views
18K
  • · Replies 71 ·
3
Replies
71
Views
5K