Rotational Motion and Coefficient of Friction

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The discussion revolves around solving a physics problem related to rotational motion and the coefficient of friction, specifically involving a roller coaster design called the "Rotating Drum of Death." The problem requires calculating the coefficient of friction that prevents passengers from falling when the ride's floor drops out, given a radius of 12 meters and a rotational speed of approximately 8 radians per second. Participants emphasize the importance of drawing a force diagram to visualize the centripetal forces acting on the riders. There is a focus on understanding the relationship between rotational motion and friction in this context. Overall, the thread seeks guidance on applying physics concepts to solve the problem effectively.
tajivie
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Hey guys!
Ok, so I don't have that much to work with, and I am sorry for my lack of detail, but my memory is a bit fuzzy. I had to do a problem like this for my physics test yesturday:

On the test we were given a problem involving a roller coaster (Rotating Drum of Death was its name). Essentially we were given the radius (for the design of the ride was that of a sphere) and the rotational speed in radians per second. In the problem, the floor of the ride dropped out and but the people on board did not fall to their deaths below because there was a coefficient of friction keeping them inside the ride. The question was to solve for the coefficient of friction. (There was no mass given) Can you please help me solve this problem?

Expereince Info:
This was part of a chapter concerning Rotational Motion. I know how to calculate coefficients of friction when an object is moving down an incline plane, but I have no idea how to solve this problem (also, it was short answer response so there are infinite options)!
 
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Did you draw a force diagram for the person on the ride?
 
Villyer said:
Did you draw a force diagram for the person on the ride?

Yes, I was able to draw a diagram :) My problem though is calculating the coefficient of friction. I believe the radius was 12m and the rotational speed was approx. 8rad/s
 
Hi tajivie! It is customary to post a question only once in the forumhttps://www.physicsforums.com/images/icons/icon4.gif I've copied my response in your duplicate thread over to this one. Can you ask for the other one to be deleted?

It has taken me 10 mins of pondering all possibilities before I figured out what this refers to. Misnaming it "rollercoaster" led me way off track to start with.
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Okay, you recognize the arrangement they are talking about? So start out with a sketch that helps you determine, for each body, the steady centripetal force pressing it towards the centre of rotation.
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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