(b) The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g. (Indicate the direction with the sign of your answer.)
(b) The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g. (Indicate the direction with the sign of your answer.)
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
i can't solve b,c
![ll G * © 76
LTE
오후 6:03
Vo
TALK
LTE J
(b)
The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so
that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of
the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g.
(Indicate the direction with the sign of your answer.)
ay = gy
Apply Newton's second law as in part (a), but note now the acceleration is not zero. How does the buoyant force differ from part (a)? Be
careful of signs-note an upward displacement corresponds to y being a positive value, while a downward one means y is negative. How
should the acceleration direction depend on the displacement direction? Be sure to substitute the result of part (a) into your analysis-your
final answer should not include h.
(c)
The result of part (b) implies the cylinder is now in simple harmonic motion. What is the period T of the cylinder's oscillations? Your answer
should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g.
T =
ト](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6c2d37c-7016-4db1-9782-15a296567dbb%2F43c255ef-1482-469c-949d-640d615b75d3%2Fix1q3o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ll G * © 76
LTE
오후 6:03
Vo
TALK
LTE J
(b)
The cylinder is now displaced a distance y from the equilibrium position, such that ly < h, and released from rest. Let the +y-axis be upward, so
that if the cylinder is pulled up, y is positive, but if it is pushed down, y is negative. Immediately after it is released, what is the y-component of
the acceleration a, of the cylinder? Your answer should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g.
(Indicate the direction with the sign of your answer.)
ay = gy
Apply Newton's second law as in part (a), but note now the acceleration is not zero. How does the buoyant force differ from part (a)? Be
careful of signs-note an upward displacement corresponds to y being a positive value, while a downward one means y is negative. How
should the acceleration direction depend on the displacement direction? Be sure to substitute the result of part (a) into your analysis-your
final answer should not include h.
(c)
The result of part (b) implies the cylinder is now in simple harmonic motion. What is the period T of the cylinder's oscillations? Your answer
should use only the given symbols M, r, L, y, and p as necessary, as well as the constant g.
T =
ト
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Elements Of Electromagnetics](https://www.bartleby.com/isbn_cover_images/9780190698614/9780190698614_smallCoverImage.gif)
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
![Mechanics of Materials (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134319650/9780134319650_smallCoverImage.gif)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Thermodynamics: An Engineering Approach](https://www.bartleby.com/isbn_cover_images/9781259822674/9781259822674_smallCoverImage.gif)
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
![Control Systems Engineering](https://www.bartleby.com/isbn_cover_images/9781118170519/9781118170519_smallCoverImage.gif)
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
![Mechanics of Materials (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337093347/9781337093347_smallCoverImage.gif)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
![Engineering Mechanics: Statics](https://www.bartleby.com/isbn_cover_images/9781118807330/9781118807330_smallCoverImage.gif)
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY