11.26** A bead of mass m is threaded on a frictionless circular wire hoop of radius R and mass m (same mass). The hoop is suspended at the point A and is free to swing in its own vertical plane as shown in Figure 11.20. Using the angles 1 and 2 as generalized coordinates, solve for the normal frequencies of small oscillations, and find and describe the motion in the corresponding normal modes. [Hint: The KE of the hoop is 167, where I is its moment of inertia about A and can be found using the parallel axis theorem.] 02 m Figure 11.20 Problem 11.26
11.26** A bead of mass m is threaded on a frictionless circular wire hoop of radius R and mass m (same mass). The hoop is suspended at the point A and is free to swing in its own vertical plane as shown in Figure 11.20. Using the angles 1 and 2 as generalized coordinates, solve for the normal frequencies of small oscillations, and find and describe the motion in the corresponding normal modes. [Hint: The KE of the hoop is 167, where I is its moment of inertia about A and can be found using the parallel axis theorem.] 02 m Figure 11.20 Problem 11.26
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.9P
Related questions
Question
![11.26** A bead of mass m is threaded on a frictionless circular wire hoop of radius R and mass m
(same mass). The hoop is suspended at the point A and is free to swing in its own vertical plane as
shown in Figure 11.20. Using the angles 1 and 2 as generalized coordinates, solve for the normal
frequencies of small oscillations, and find and describe the motion in the corresponding normal modes.
[Hint: The KE of the hoop is 167, where I is its moment of inertia about A and can be found using
the parallel axis theorem.]
02
m
Figure 11.20 Problem 11.26](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02ecb3b3-97de-421f-a5ff-cbd3d3258010%2F2f13532c-1bd9-49ed-85c2-4f8fb45d4545%2F74ouzmj_processed.png&w=3840&q=75)
Transcribed Image Text:11.26** A bead of mass m is threaded on a frictionless circular wire hoop of radius R and mass m
(same mass). The hoop is suspended at the point A and is free to swing in its own vertical plane as
shown in Figure 11.20. Using the angles 1 and 2 as generalized coordinates, solve for the normal
frequencies of small oscillations, and find and describe the motion in the corresponding normal modes.
[Hint: The KE of the hoop is 167, where I is its moment of inertia about A and can be found using
the parallel axis theorem.]
02
m
Figure 11.20 Problem 11.26
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 5 images
Recommended textbooks for you
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning