The 10-g bullet having a velocity of = 750 m/s is fired into the edge of the 4-kg disk as shown. The disk is originally at rest. The rod AB has a mass of 3 kg. (Figure 1) Figure B 0.4 m 2m 1 of 1 Part A Determine the magnitude of the angular velocity of the disk just after the bullet becomes embedded into its edge. Express your answer in radians per second to three significant figures. ▸ View Available Hint(s) W= Submit Part B Calculate the angle the disk will swing when it stops. Express your answer in degrees to three significant figures. ► View Available Hint(s) 0= Submit AΣo↓ vec VAΣo↓ vec Provide Foodback ? ? rad/s O
The 10-g bullet having a velocity of = 750 m/s is fired into the edge of the 4-kg disk as shown. The disk is originally at rest. The rod AB has a mass of 3 kg. (Figure 1) Figure B 0.4 m 2m 1 of 1 Part A Determine the magnitude of the angular velocity of the disk just after the bullet becomes embedded into its edge. Express your answer in radians per second to three significant figures. ▸ View Available Hint(s) W= Submit Part B Calculate the angle the disk will swing when it stops. Express your answer in degrees to three significant figures. ► View Available Hint(s) 0= Submit AΣo↓ vec VAΣo↓ vec Provide Foodback ? ? rad/s O
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
The 10-gg bullet having a velocity of vvv = 750 m/sm/s is fired into the edge of the 4-kgkg disk as shown. The disk is originally at rest. The rod ABAB has a mass of 3 kg
Determine the magnitude of the angular velocity of the disk just after the bullet becomes embedded into its edge.
Calculate the angle θθ the disk will swing when it stops.
![**Educational Website Example**
### Understanding Angular Motion
#### Problem Statement
A 10-gram bullet with a velocity of \( v = 750 \, \text{m/s} \) is fired into the edge of a 4-kg disk. Initially, the disk is at rest. The rod \( AB \) attached to the disk has a mass of 3 kg. [See Figure 1 for reference.]
---
#### Figure 1: System Diagram
- **Components of the System:**
- Bullet: Moving with initial velocity.
- Disk: Mass \( 4 \, \text{kg} \), initially at rest.
- Rod \( AB \): Mass \( 3 \, \text{kg} \), connected to disk.
- **Dimensions:**
- The distance from the pivot point \( A \) to the center of the disk is \( 2 \, \text{m} \).
- The radius of the disk is \( 0.4 \, \text{m} \).
---
#### Part A: Angular Velocity Calculation
**Objective:**
Determine the magnitude of the angular velocity \(\omega\) of the disk immediately after the bullet embeds itself into the edge.
**Instructions:**
- Express your answer in radians per second (rad/s) to three significant figures.
**Input:**
\[ \omega = \, \_\_\_ \]
**Hints Available**
**Submit Answer Button**
---
#### Part B: Angular Displacement Calculation
**Objective:**
Calculate the angle \( \theta \) through which the disk will swing as it comes to a stop.
**Instructions:**
- Express your answer in degrees, accurate to three significant figures.
**Input:**
\[ \theta = \, \_\_\_ \]
**Hints Available**
**Submit Answer Button**
---
#### Additional Resources
- For further understanding, please refer to the provided hints.
- Explore conservation of angular momentum and energy principles to solve the problems.
**Feedback Section**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98ba27a3-ab69-49b1-ad1c-2aa6f8226754%2F9a5022df-9ae1-4edb-8d3b-1a21e9f246a8%2Fpbqppa_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Website Example**
### Understanding Angular Motion
#### Problem Statement
A 10-gram bullet with a velocity of \( v = 750 \, \text{m/s} \) is fired into the edge of a 4-kg disk. Initially, the disk is at rest. The rod \( AB \) attached to the disk has a mass of 3 kg. [See Figure 1 for reference.]
---
#### Figure 1: System Diagram
- **Components of the System:**
- Bullet: Moving with initial velocity.
- Disk: Mass \( 4 \, \text{kg} \), initially at rest.
- Rod \( AB \): Mass \( 3 \, \text{kg} \), connected to disk.
- **Dimensions:**
- The distance from the pivot point \( A \) to the center of the disk is \( 2 \, \text{m} \).
- The radius of the disk is \( 0.4 \, \text{m} \).
---
#### Part A: Angular Velocity Calculation
**Objective:**
Determine the magnitude of the angular velocity \(\omega\) of the disk immediately after the bullet embeds itself into the edge.
**Instructions:**
- Express your answer in radians per second (rad/s) to three significant figures.
**Input:**
\[ \omega = \, \_\_\_ \]
**Hints Available**
**Submit Answer Button**
---
#### Part B: Angular Displacement Calculation
**Objective:**
Calculate the angle \( \theta \) through which the disk will swing as it comes to a stop.
**Instructions:**
- Express your answer in degrees, accurate to three significant figures.
**Input:**
\[ \theta = \, \_\_\_ \]
**Hints Available**
**Submit Answer Button**
---
#### Additional Resources
- For further understanding, please refer to the provided hints.
- Explore conservation of angular momentum and energy principles to solve the problems.
**Feedback Section**
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 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