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

AI Thread Summary
The discussion focuses on calculating the angular momentum of a system with two rotating particles attached to a rigid rod. The rod is 1 meter long, with masses of 4 kg and 3 kg at each end, rotating about an axis at the center. The initial calculations involve using the moment of inertia formula I = MR^2 and the angular velocity derived from the relationship w = r/v. After correcting the angular velocity to 10 rad/s, the final angular momentum is computed using L = Iw. The calculations confirm the correct approach to determining the system's angular momentum.
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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
 
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One slight change.

v=r\omega

so:

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