With an initial speed of v0 in the horizontal direction, a little bead of mass m glides down from the top of a hemisphere. The bead does not leave the surface at the top because the speed v0 is small enough. The hemisphere's radius is R, and the surface between the bead and the hemisphere is assumed to be frictionless. Throughout the process, the hemisphere is maintained in place. (1) (a) Assume that the bead is still in touch with the hemisphere when it is angled away from the vertical, as illustrated in the right picture. At that point, what is the speed of the bead? Describe your solution in terms of v0, R, and g. (b) If you want to be more formal When the bead reaches a height of h, it will leave the surface. In terms of v0, R, and g, write it down.
With an initial speed of v0 in the horizontal direction, a little bead of mass m glides down from the top of a hemisphere. The bead does not leave the surface at the top because the speed v0 is small enough. The hemisphere's radius is R, and the surface between the bead and the hemisphere is assumed to be frictionless. Throughout the process, the hemisphere is maintained in place. (1) (a) Assume that the bead is still in touch with the hemisphere when it is angled away from the vertical, as illustrated in the right picture. At that point, what is the speed of the bead? Describe your solution in terms of v0, R, and g. (b) If you want to be more formal When the bead reaches a height of h, it will leave the surface. In terms of v0, R, and g, write it down.
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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With an initial speed of v0 in the horizontal direction, a little bead of mass m glides down from the top of a hemisphere. The bead does not leave the surface at the top because the speed v0 is small enough. The hemisphere's radius is R, and the surface between the bead and the hemisphere is assumed to be frictionless. Throughout the process, the hemisphere is maintained in place.
(1) (a) Assume that the bead is still in touch with the hemisphere when it is angled away from the vertical, as illustrated in the right picture. At that point, what is the speed of the bead? Describe your solution in terms of v0, R, and g.
(b) If you want to be more formal When the bead reaches a height of h, it will leave the surface. In terms of v0, R, and g, write it down.
Transcribed Image Text:R-
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