Forces, marble on side of spinning bowl

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Homework Help Overview

The problem involves a marble resting against the inside surface of a hemispherical bowl that is spinning on a table. The bowl has a specified radius, and the marble is expected to rotate around the center of the table at the same rate as the bowl. The objective is to determine the angle θ formed by the marble's position.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the marble, including centripetal force considerations. There are suggestions to draw a free body diagram and to analyze the forces in relation to the angle θ.

Discussion Status

Some participants have provided guidance on visualizing the problem through diagrams and have prompted the original poster to clarify the forces at play. Multiple interpretations of the forces and their relationships are being explored, but no consensus has been reached yet.

Contextual Notes

There is mention of a diagram that is crucial for understanding the problem, and some participants express difficulty accessing it. The original poster indicates uncertainty about how to begin solving the problem, suggesting a lack of information or clarity in the setup.

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Homework Statement


A bowl has a hemispherical inside surface with radius R = 15
cm, and is sitting in the exact center of a spinning table that completes
one full turn in 0.72 s. A small marble is dropped into the bowl. After
the marble has stopped rolling around, it will come to rest against the
inside surface of the bowl, rotating around the center of the table at the
same rate as the bowl. You can ignore the size of the marble. The
angle θ, as defined in the figure, is closest to ___?

DIAGRAM SHOWING THE PROBLEM
http://imgur.com/0pKoAKT

Homework Equations


I guess F=ma
a=v^2/r
Ff=Fnμ

The Attempt at a Solution


No idea how to start even approaching this, sum of all forces?
 
Last edited:
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It would probably help us to see the figure stated in the problem.

Looks like you've got a centripetal force problem.
 
I don't really have access to a diagram, but basically its a semi-circle, with a marble resting on the side of the bowl. The angle theta is the angle from a line that is straight up from the center of the bowl.
 
I put a picture up now.
 
Draw a free body diagram for the marble. As functions of theta, what forces act on it? What is the resultant force for equilibrium?
 

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