0.4 m E 0.3 m k = 500 N/m D B 0.15 m
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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Question
![**Problem Description:**
The 20-kg sphere \( C \) is released from rest when \( \theta = 0^\circ \) and the tension in the spring is \( F = 100 \, \text{N} \).
**Objective:**
Determine the speed of the sphere at the instant \( \theta = 90^\circ \). Neglect the mass of rod \( AB \) and the size of the sphere.
Express your answer to three significant figures and include the appropriate units.
**Input Fields:**
- \( v = \) [Value] [Units]
**Options:**
- Submit
- Request Answer
- Provide Feedback
**Figure Explanation:**
The diagram illustrates a setup involving:
- A horizontal rod labeled \( AB \) with a 20-kg sphere labeled \( C \) at point \( B \).
- A spring with a constant \( k = 500 \, \text{N/m} \) attached to a fixed point \( E \) vertically above point \( A \), the spring is initially at an angle \( \theta \).
- The rest position of the spring when \( \theta = 0^\circ \).
- Distance \( AB = 0.3 \, \text{m} \) and distance \( BD = 0.15 \, \text{m} \).
- Vertical height \( AE = 0.4 \, \text{m} \).
**Instructions:**
- Calculate the speed of the sphere \( C \) as it reaches \( \theta = 90^\circ \).
- Consider energy conservation and equations of motion for accurate results.
**Next Steps:**
- Proceed to the next problem or review the calculations done.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe057bbbb-6c9a-4135-b698-70005a4d9d21%2Fd6f32e27-ddd5-4eca-9841-adaf2d0f99fc%2F4mzfyrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
The 20-kg sphere \( C \) is released from rest when \( \theta = 0^\circ \) and the tension in the spring is \( F = 100 \, \text{N} \).
**Objective:**
Determine the speed of the sphere at the instant \( \theta = 90^\circ \). Neglect the mass of rod \( AB \) and the size of the sphere.
Express your answer to three significant figures and include the appropriate units.
**Input Fields:**
- \( v = \) [Value] [Units]
**Options:**
- Submit
- Request Answer
- Provide Feedback
**Figure Explanation:**
The diagram illustrates a setup involving:
- A horizontal rod labeled \( AB \) with a 20-kg sphere labeled \( C \) at point \( B \).
- A spring with a constant \( k = 500 \, \text{N/m} \) attached to a fixed point \( E \) vertically above point \( A \), the spring is initially at an angle \( \theta \).
- The rest position of the spring when \( \theta = 0^\circ \).
- Distance \( AB = 0.3 \, \text{m} \) and distance \( BD = 0.15 \, \text{m} \).
- Vertical height \( AE = 0.4 \, \text{m} \).
**Instructions:**
- Calculate the speed of the sphere \( C \) as it reaches \( \theta = 90^\circ \).
- Consider energy conservation and equations of motion for accurate results.
**Next Steps:**
- Proceed to the next problem or review the calculations done.
Expert Solution
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Given,
m= 20 kg
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