"Calculate Angular Momentum of Rotating Barbell

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SUMMARY

The discussion focuses on calculating the angular momentum of a barbell system consisting of two small balls, each with a mass of 0.55 kg, attached to a low mass rod of length 0.2 m. The system rotates counterclockwise with an angular speed of 110 rad/s while also rotating clockwise about its center at 90 rad/s. Key equations utilized include the moment of inertia (I = m * r²) and angular momentum (Lrot = I * w). The challenge lies in understanding the combined effects of both rotational motions on the total angular momentum.

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Homework Statement



A barbell consists of two small balls, each with mass 550 grams (0.55 kg), at the ends of a very low mass rod of length d = 20 cm (0.2 m). The center of the barbell is mounted on the end of a low mass rigid rod of length b = 0.3 m (see Figure), and this rod rotates counterclockwise with angular speed 110 rad/s. In addition, the barbell rotates clockwise about its own center, with an angular speed 90 rad/s.

(a) Calculate Lrot (both magnitude and direction).
(b) Calculate Ltrans, B (both magnitude and direction).
(c) Calculate Ltot, B (both magnitude and direction).



Homework Equations


I=m*r^2
w=2pi/T
Lrot=I*w


The Attempt at a Solution



i don't know where to start because it is rotating while it is moving a distance at the same time?!
 
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I don't see a figure. Are the two rotations along the same axis?
 

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