Ay 0 392 F a = 4.425 с At the instant the wire at B snaps, determine the reaction forces at A and the angular acceleration of the 200 kg beam if a force of 200 N is applied at point C. Assume the beam is a slender rod. Point B is located 1 I m away from point A, and the beam has a length 1 = 4 m. 4 Az x N x rad ©2 B N A UBC Engineering
Ay 0 392 F a = 4.425 с At the instant the wire at B snaps, determine the reaction forces at A and the angular acceleration of the 200 kg beam if a force of 200 N is applied at point C. Assume the beam is a slender rod. Point B is located 1 I m away from point A, and the beam has a length 1 = 4 m. 4 Az x N x rad ©2 B N A UBC Engineering
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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![**Example Problem: Reaction Forces and Angular Acceleration of a Beam**
**Problem Description:**
At the instant the wire at B snaps, determine the reaction forces at A and the angular acceleration of the 200 kg beam if a force of 200 N is applied at point C. Assume the beam is a slender rod. Point B is located 1/4 m away from point A, and the beam has a length \( l = 4 \, \text{m} \).
**Diagram Explanation:**
The diagram shows a horizontal beam of length 4 meters, with point A on the right end attached to a support and point C on the left end where a downward force \( F \) of 200 N is applied. Point B is located 1/4 meter away from point A and indicates the location of the wire that snaps.
**Given:**
- Mass of the beam \( m = 200 \, \text{kg} \)
- Force applied at C \( F = 200 \, \text{N} \)
- Length of the beam \( l = 4 \, \text{m} \)
- Location of point B is \( \frac{1}{4} \, \text{m} \) away from point A
**Solution:**
Based on the given problem:
1. **Reaction Force at A in X direction (\(A_x\)):**
\[ A_x = 0 \, \text{N} \]
2. **Reaction Force at A in Y direction (\(A_y\)):**
\[ A_y = 392 \, \text{N} \, (\text{incorrect})\]
3. **Angular Acceleration (\(\alpha\)):**
\[ \alpha = 4.425 \, \text{rad/s}^2 \, (\text{incorrect})\]
The solutions for \(A_y\) and \(\alpha\) have been marked as incorrect. The correct answers should be reevaluated through the appropriate formulations and calculations, considering the mass and force distributions along the beam when the wire at B snaps.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42a8b670-f4b9-41aa-8a38-e9f581824926%2Fdb2c7008-3358-48c7-bd01-3cd99f25809b%2Fq1o3vdp_processed.png&w=3840&q=75)
Transcribed Image Text:**Example Problem: Reaction Forces and Angular Acceleration of a Beam**
**Problem Description:**
At the instant the wire at B snaps, determine the reaction forces at A and the angular acceleration of the 200 kg beam if a force of 200 N is applied at point C. Assume the beam is a slender rod. Point B is located 1/4 m away from point A, and the beam has a length \( l = 4 \, \text{m} \).
**Diagram Explanation:**
The diagram shows a horizontal beam of length 4 meters, with point A on the right end attached to a support and point C on the left end where a downward force \( F \) of 200 N is applied. Point B is located 1/4 meter away from point A and indicates the location of the wire that snaps.
**Given:**
- Mass of the beam \( m = 200 \, \text{kg} \)
- Force applied at C \( F = 200 \, \text{N} \)
- Length of the beam \( l = 4 \, \text{m} \)
- Location of point B is \( \frac{1}{4} \, \text{m} \) away from point A
**Solution:**
Based on the given problem:
1. **Reaction Force at A in X direction (\(A_x\)):**
\[ A_x = 0 \, \text{N} \]
2. **Reaction Force at A in Y direction (\(A_y\)):**
\[ A_y = 392 \, \text{N} \, (\text{incorrect})\]
3. **Angular Acceleration (\(\alpha\)):**
\[ \alpha = 4.425 \, \text{rad/s}^2 \, (\text{incorrect})\]
The solutions for \(A_y\) and \(\alpha\) have been marked as incorrect. The correct answers should be reevaluated through the appropriate formulations and calculations, considering the mass and force distributions along the beam when the wire at B snaps.
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