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2. (UNIFORM CIRCULAR MOTION) A marble rolls around in a horizontal circular path on the inner surface of a cone, as shown in the figure on the left. The surface of the cone is frictionless. On the figure on the right, showing the marble on the inner surface of the cone, draw a free-body diagram of the marble including all of the forces acting on the marble and their x and y components. Also draw your chosen coordinate system. Which force component or combination of force components supplies the centripetal force on the marble?

2. (UNIFORM CIRCULAR MOTION) A marble rolls around in a horizontal circular path on the inner surface of a cone, as shown in the figure on the left. The surface of the cone is frictionless. On the figure on the right, showing the marble on the inner surface of the cone, draw a free-body diagram of the marble including all of the forces acting on the marble and their x and y components. Also draw your chosen coordinate system. Which force component or combination of force components supplies the centripetal force on the marble?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Uniform Circular Motion: Marble Rolling Inside a Cone** A marble rolls around in a horizontal circular path on the inner surface of a cone, as seen in the figure on the left. The cone's surface is frictionless. In the diagram to the right, where the marble is shown on the inner surface of the cone, you are tasked to draw a free-body diagram of the marble. This should include all forces acting on the marble and their respective x and y components. Additionally, select and illustrate your chosen coordinate system. ### Key Question: Which force component(s) supply the centripetal force needed for the marble? **Diagram Explanation:** 1. **Left Figure (Top View):** - Shows a conical structure with a circular path traced by the marble near the top. - The marble's motion is depicted by a circular arrow indicating its direction along the path. 2. **Right Figure (Side View):** - Depicts the marble on the inner slope of the cone. - This view allows for the analysis of forces acting perpendicular and parallel to the slope where the marble rolls.
Transcribed Image Text:**Uniform Circular Motion: Marble Rolling Inside a Cone** A marble rolls around in a horizontal circular path on the inner surface of a cone, as seen in the figure on the left. The cone's surface is frictionless. In the diagram to the right, where the marble is shown on the inner surface of the cone, you are tasked to draw a free-body diagram of the marble. This should include all forces acting on the marble and their respective x and y components. Additionally, select and illustrate your chosen coordinate system. ### Key Question: Which force component(s) supply the centripetal force needed for the marble? **Diagram Explanation:** 1. **Left Figure (Top View):** - Shows a conical structure with a circular path traced by the marble near the top. - The marble's motion is depicted by a circular arrow indicating its direction along the path. 2. **Right Figure (Side View):** - Depicts the marble on the inner slope of the cone. - This view allows for the analysis of forces acting perpendicular and parallel to the slope where the marble rolls.
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