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A uniform solid sphere of radius R = 0.200 m and mass M = 1.85 kg starts from a height vertical H on an inclined plane and rolls DOWN the incline without slipping. The initial translational speed of the center of mass of the sphere is ZERO. Thus, the solid sphere begins from REST. Assume H= 20.0 m, about 66 feet. Use the rotational inertia I for a solid sphere. (PLEASE FIGURE 10. 21 IN THE E-BOOK OR ICQ16 for the rotational inertia of a sphere) I = (2/5) * MR². Show all work. If you do not consider the rotational part of the kinetic energy, you will get a zero on this problem. (a) 2 What is the final translational speed V₂ of the center of mass of the sphere at the bottom? (b) What is the final angular speed | o₂ | about the center of mass of the sphere at the bottom? IN OTHER WORDS, FIND THE MAGNITUDE OF THE ANGULAR VELOCITY AT THE BOTTOM. (c) problem? Explain. Did you need the mass M or the angle shown to solve this W₁=0 Las W₂ H 30° != ?

A uniform solid sphere of radius R = 0.200 m and mass M = 1.85 kg starts from a height vertical H on an inclined plane and rolls DOWN the incline without slipping. The initial translational speed of the center of mass of the sphere is ZERO. Thus, the solid sphere begins from REST. Assume H= 20.0 m, about 66 feet. Use the rotational inertia I for a solid sphere. (PLEASE FIGURE 10. 21 IN THE E-BOOK OR ICQ16 for the rotational inertia of a sphere) I = (2/5) * MR². Show all work. If you do not consider the rotational part of the kinetic energy, you will get a zero on this problem. (a) 2 What is the final translational speed V₂ of the center of mass of the sphere at the bottom? (b) What is the final angular speed | o₂ | about the center of mass of the sphere at the bottom? IN OTHER WORDS, FIND THE MAGNITUDE OF THE ANGULAR VELOCITY AT THE BOTTOM. (c) problem? Explain. Did you need the mass M or the angle shown to solve this W₁=0 Las W₂ H 30° != ?

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 35PQ: In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m...
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A uniform solid sphere of radius R = 0.200 m and mass M = 1.85 kg starts from a height vertical H on an inclined plane and rolls DOWN the incline without slipping. The initial translational speed of the center of mass of the sphere is ZERO. Thus, the solid sphere begins from REST. Assume H= 20.0 m, about 66 feet. Use the rotational inertia I for a solid sphere. (PLEASE FIGURE 10. 21 IN THE E-BOOK OR ICQ16 for the rotational inertia of a sphere) I = (2/5) * MR². Show all work. If you do not consider the rotational part of the kinetic energy, you will get a zero on this problem. (a) 2 What is the final translational speed V₂ of the center of mass of the sphere at the bottom? (b) What is the final angular speed | w₂ | about the center of mass of the sphere at the bottom? IN OTHER WORDS, FIND THE MAGNITUDE OF THE ANGULAR VELOCITY AT THE BOTTOM. (c) problem? Explain. Did you need the mass M or the angle shown to solve this W₁=0 fa H 30° W₂ &v=?
Transcribed Image Text:A uniform solid sphere of radius R = 0.200 m and mass M = 1.85 kg starts from a height vertical H on an inclined plane and rolls DOWN the incline without slipping. The initial translational speed of the center of mass of the sphere is ZERO. Thus, the solid sphere begins from REST. Assume H= 20.0 m, about 66 feet. Use the rotational inertia I for a solid sphere. (PLEASE FIGURE 10. 21 IN THE E-BOOK OR ICQ16 for the rotational inertia of a sphere) I = (2/5) * MR². Show all work. If you do not consider the rotational part of the kinetic energy, you will get a zero on this problem. (a) 2 What is the final translational speed V₂ of the center of mass of the sphere at the bottom? (b) What is the final angular speed | w₂ | about the center of mass of the sphere at the bottom? IN OTHER WORDS, FIND THE MAGNITUDE OF THE ANGULAR VELOCITY AT THE BOTTOM. (c) problem? Explain. Did you need the mass M or the angle shown to solve this W₁=0 fa H 30° W₂ &v=?
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