How Do You Calculate Angular Momentum for a Rotating Rigid Structure?

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SUMMARY

The discussion focuses on calculating the angular momentum of a rigid structure consisting of a circular hoop and a square made of thin bars, rotating about a vertical axis. The period of rotation is given as 2.8 seconds, with a radius (R) of 0.62 meters and mass (m) of 1.2 kg. The rotational inertia (I) was previously calculated as 1.5 kg·m². To find the angular momentum (L), the equation L = Iω is used, where ω is the angular velocity derived from the period of rotation.

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Homework Statement


Figure 11-45 shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.8 s. Assuming R = 0.62 m and m = 1.2 kg, calculate (a) the structure's rotational inertia about the axis of rotation and (b) its angular momentum about that axis.


Homework Equations


I already solved part (a) but the equations to use for part (b) are L=Iw


The Attempt at a Solution


I put in the I that I received from part (a) which is 1.5, however I don't know how to find angular velocity... Can anyone help me out?
 

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however I don't know how to find angular velocity... Can anyone help me out?

You figure it out from this:

The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.8 s.
 

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