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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
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
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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**
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**
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