Horizons: Exploring the Universe - With MindTap
Horizons: Exploring the Universe - With MindTap
14th Edition
ISBN: 9781337578080
Author: Seeds
Publisher: Cengage
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Chapter 2, Problem 3RQ

What characteristic do starts in a constellation or asterism share?

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PROBLEM 2 A cube of mass m is placed in a rotating funnel. (The funnel is rotating around the vertical axis shown in the diagram.) There is no friction between the cube and the funnel but the funnel is rotating at just the right speed needed to keep the cube rotating with the funnel. The cube travels in a circular path of radius r, and the angle between the vertical and the wall of the funnel is 0. Express your answers to parts (b) and (c) in terms of m, r, g, and/or 0. (a) Sketch a free-body diagram for the cube. Show all the forces acting on it, and show the appropriate coordinate system to use for this problem. (b) What is the normal force acting on the cube? FN=mg58 (c) What is the speed v of the cube? (d) If the speed of the cube is different from what you determined in part (c), a force of friction is necessary to keep the cube from slipping in the funnel. If the funnel is rotating slower than it was above, draw a new free-body diagram for the cube to show which way friction…
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