Angular Momentum of a candy dish

AI Thread Summary
The discussion focuses on calculating the angular speed (ω) of a lazy susan when a bug walks along its edge. The problem involves a uniform disk with a mass of 0.876 kg and a radius of 0.244 m, initially at rest, while a bug weighing 35.9 g moves at 6.12 cm/s. Participants emphasize using the conservation of angular momentum to solve the problem, suggesting that the total angular momentum of the system (bug and disk) must remain constant. The angular momentum of the bug needs to be calculated to determine the corresponding angular momentum of the disk. This approach will lead to finding the required angular speed of the lazy susan.
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Homework Statement


A candy dish that rotates is called a lazy susan. This lazy susan is a uniform disk (mass 0.876 kg, radius 0.244 m), rotating about the center of the disk on a frictionless bearing. Suppose a large bug of mass 35.9 g sits at rest at on the edge of the empty lazy susan, which is initially at rest. The bug now begins to walk along the circumference of the disk at 6.12 cm/s relative to the disk. Find ω, the angular speed of the lazy susan.


Homework Equations



I just need a hint... based on the information provided i think i need to work my way through the conservation of angular momentum.. ... any suggestion

The Attempt at a Solution

 
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Conservation of angular momentum is indeed the way to go.

In this case what must the total angular momentum of the system (bug and disc) be?

What is the angular momentum of the bug?

Therefore, what must be the angular momentum of the disc?
 
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