"Calculate Angular Momentum of Rotating Barbell

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The discussion revolves around calculating the angular momentum of a barbell system consisting of two small balls and a rotating rod. The barbell has a mass of 0.55 kg at each end and is mounted on a 0.3 m rod that rotates counterclockwise at 110 rad/s, while the barbell itself rotates clockwise at 90 rad/s. Participants express confusion about how to approach the calculations, particularly regarding the simultaneous rotations and whether they share the same axis. Key equations for the calculations include the moment of inertia (I = m*r^2) and the angular momentum (Lrot = I*w). Clarification on the axis of rotation is essential for solving the problem accurately.
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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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