Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with speed vi when its small peg A collides with and engages a receptacle. The collision happens over infinitesimal time. The block then pivots about the point A, which has come to rest due to the impact. Determine the angular velocity of the body as well as the x and y component of the velocity of the mass-center just after the impact. Hint: The total angular momentum of the block about A is conserved across the collision. ( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A due to the collision. The angular momentum about A is conserved because all forces are finite except the force at A, which does not produce a moment about A. The finite forces cannot change momentum in infinitesimal time. ] OG 76 8 6/2
Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with speed vi when its small peg A collides with and engages a receptacle. The collision happens over infinitesimal time. The block then pivots about the point A, which has come to rest due to the impact. Determine the angular velocity of the body as well as the x and y component of the velocity of the mass-center just after the impact. Hint: The total angular momentum of the block about A is conserved across the collision. ( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A due to the collision. The angular momentum about A is conserved because all forces are finite except the force at A, which does not produce a moment about A. The finite forces cannot change momentum in infinitesimal time. ] OG 76 8 6/2
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
Please help. This problem involves angular velocity and conservation of energy. Thank you.
![Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with
speed vi when its small peg A collides with and engages a receptacle. The collision happens over
infinitesimal time. The block then pivots about the point A, which has come to rest due to the
impact. Determine the angular velocity of the body as well as the x and y component of the
velocity of the mass-center just after the impact.
Hint: The total angular momentum of the block about A is conserved across the collision.
( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A
due to the collision. The angular momentum about A is conserved because all forces are finite
except the force at A, which does not produce a moment about A. The finite forces cannot change
momentum in infinitesimal time. ]
OG
AT
7b
-x
8.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8735dee1-ec31-4346-b70c-e4d10f64e04c%2F2030ecb2-5b90-41b0-b5be-a8c3c73bb31f%2F15j3jej_processed.png&w=3840&q=75)
Transcribed Image Text:Q3. Catching a falling block of wood. The uniform rectangular panel is falling vertically with
speed vi when its small peg A collides with and engages a receptacle. The collision happens over
infinitesimal time. The block then pivots about the point A, which has come to rest due to the
impact. Determine the angular velocity of the body as well as the x and y component of the
velocity of the mass-center just after the impact.
Hint: The total angular momentum of the block about A is conserved across the collision.
( Note that angular momentum about G is not conserved, because there is an 'infinite' force at A
due to the collision. The angular momentum about A is conserved because all forces are finite
except the force at A, which does not produce a moment about A. The finite forces cannot change
momentum in infinitesimal time. ]
OG
AT
7b
-x
8.
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 3 steps with 3 images

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
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY