Help: Hamster wheel rotational dynamics

AI Thread Summary
The discussion focuses on calculating the angular velocity of a large hollow hamster ball rolling at 5 miles per hour, with a hamster inside weighing 0.3 kg. Participants explore the relationship between linear and angular velocity, as well as the moment of inertia for a sphere. The impact of the hamster performing a loop on the moment of inertia is highlighted, as it introduces an additional point mass at the radius of 0.4m. The conservation of angular momentum is also a key topic, prompting questions about the relevant equations. Understanding these dynamics is essential for solving the homework problem effectively.
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Homework Statement



A large hollow hamster ball is rolling along the ground at 5 miles per hour. A hamster is running inside, matching his pace at the bottom of the ball to stay by the ground. The hamster weighs .3 kg, and the ball has a mass of 1.5 kg with a radius of 0.4m.



Homework Equations



What is the angular velocity of the ball?
The hamster decides to do a loop the loop and grabs the inside of the ball with its claws. What is the new angular velocity of the ball?

What is the new velocity along the ground in miles per hour?


The Attempt at a Solution

 
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Need at least some attempt at an answer. What relation is there between linear velocity and angular velocity?

How do we compute moment of inertia for a sphere?

What effect does the loop de loop have on the moment of inertia--it is now an additional point mass at radius, 0.4m.

For angular momentum to be conserved, what eqn can we use?
 

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