Homework Help is Here – Start Your Trial Now!
Science
Physics
Vƒ A bicycle wheel of radius R and mass m is initially spinning with angular velocity wo. The wheel is lowered to the ground without bouncing. As soon as the wheel touches the level ground, the wheel starts to move forward until it begins to roll without slipping with an unknown final angular velocity w, and an unknown velocity of the center of mass v. . Assume that all the mass of the wheel is located on the rim, thus take the moment of inertia to be I = mR². The coefficient of kinetic friction is μk between wheel and ground. (a) What is the velocity of the center of mass of the wheel Vƒ when it begins to roll without slipping in terms of wo and R? Draw a free-body diagram and indicate all forces acting. (b) How far has it traveled when it begins pure rolling in terms of R, g, μk and wo? (c) If the wheel with the speed calculated in (a) were to go up a very long frictionless incline plane, what is the highest vertical distance it can reach? Calculate the height in terms of R, g and wo

Vƒ A bicycle wheel of radius R and mass m is initially spinning with angular velocity wo. The wheel is lowered to the ground without bouncing. As soon as the wheel touches the level ground, the wheel starts to move forward until it begins to roll without slipping with an unknown final angular velocity w, and an unknown velocity of the center of mass v. . Assume that all the mass of the wheel is located on the rim, thus take the moment of inertia to be I = mR². The coefficient of kinetic friction is μk between wheel and ground. (a) What is the velocity of the center of mass of the wheel Vƒ when it begins to roll without slipping in terms of wo and R? Draw a free-body diagram and indicate all forces acting. (b) How far has it traveled when it begins pure rolling in terms of R, g, μk and wo? (c) If the wheel with the speed calculated in (a) were to go up a very long frictionless incline plane, what is the highest vertical distance it can reach? Calculate the height in terms of R, g and wo

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter11: Angular Momentum
Section: Chapter Questions
Problem 60P: A uniform rod of mass 200 g and length 100 cm is free to rotate in a horizontal plane around a fixed...
See similar textbooks
icon
Related questions
Question
Vƒ A bicycle wheel of radius R and mass m is initially spinning with angular velocity wo. The wheel is lowered to the ground without bouncing. As soon as the wheel touches the level ground, the wheel starts to move forward until it begins to roll without slipping with an unknown final angular velocity w, and an unknown velocity of the center of mass v. . Assume that all the mass of the wheel is located on the rim, thus take the moment of inertia to be I = mR². The coefficient of kinetic friction is μk between wheel and ground. (a) What is the velocity of the center of mass of the wheel Vƒ when it begins to roll without slipping in terms of wo and R? Draw a free-body diagram and indicate all forces acting. (b) How far has it traveled when it begins pure rolling in terms of R, g, μk and wo? (c) If the wheel with the speed calculated in (a) were to go up a very long frictionless incline plane, what is the highest vertical distance it can reach? Calculate the height in terms of R, g and wo
Transcribed Image Text:Vƒ A bicycle wheel of radius R and mass m is initially spinning with angular velocity wo. The wheel is lowered to the ground without bouncing. As soon as the wheel touches the level ground, the wheel starts to move forward until it begins to roll without slipping with an unknown final angular velocity w, and an unknown velocity of the center of mass v. . Assume that all the mass of the wheel is located on the rim, thus take the moment of inertia to be I = mR². The coefficient of kinetic friction is μk between wheel and ground. (a) What is the velocity of the center of mass of the wheel Vƒ when it begins to roll without slipping in terms of wo and R? Draw a free-body diagram and indicate all forces acting. (b) How far has it traveled when it begins pure rolling in terms of R, g, μk and wo? (c) If the wheel with the speed calculated in (a) were to go up a very long frictionless incline plane, what is the highest vertical distance it can reach? Calculate the height in terms of R, g and wo
Expert Solution
steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Glencoe Physics: Principles and Problems, Student…
Glencoe Physics: Principles and Problems, Student…
Physics
ISBN:
9780078807213
Author:
Paul W. Zitzewitz
Publisher:
Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS