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The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity v of the collar as it passes position B. Use

The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity v of the collar as it passes position B. Use

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 collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m and an unstretched length of 1.5 m. The collar is released from rest at A and slides up the smooth rod under the action of the constant 50-N force. Calculate the velocity v of the collar as it passes position B. Use 

**Problem 3/122: Analysis of Spring Force and Applied Force on a Vertical Rod** --- **Description:** This problem involves analyzing the forces acting on a vertical rod \( AB \) which is supported by a spring and subjected to a force. Let's break down the diagram and the known values: - There is a vertical rod labeled \( AB \). - A force of 50 N is applied to the rod at point \( A \) (the lower end of the rod) at an angle of 30 degrees above the horizontal. - The spring, characterized by a spring constant \( k = 30 \text{ N/m} \), is attached to point \( B \) (the upper end of the rod) and extends horizontally to a fixed point 2 meters away from the rod. - The vertical distance between points \( A \) and \( B \) on the rod is 1.5 meters. **Key Points and Diagram Elements:** 1. **Vertical Rod (AB):** - The rod is assumed to be rigid and vertical, extending from \( A \) (bottom) to \( B \) (top). - \( A \) is positioned at the base and \( B \) is at the top of the rod. 2. **Applied Force at Point \( A \):** - A force of 50 N acts at point \( A \) forming a 30-degree angle with the horizontal. 3. **Spring Connection at Point \( B \):** - The spring with a constant \( k = 30 \text{ N/m} \) is attached at point \( B \) and stretches horizontally to a fixed point located 2 meters away from the rod. - The depiction of the spring extends from \( B \) horizontally 2 meters away to the anchor point, creating a right triangle with the rod. **Diagram Notations:** - **Force Vector:** The force’s direction and magnitude (50 N at 30 degrees). - **Spring Constant (k):** The value \( k = 30 \text{ N/m} \) is indicated beside the spring. - **Distances:** - Vertical length \( AB = 1.5 \text{ m} \). - Horizontal distance from \( B \) to the fixed end of the spring \( = 2 \text{ m} \). **Objective:** The goal of this problem might be to determine
Transcribed Image Text:**Problem 3/122: Analysis of Spring Force and Applied Force on a Vertical Rod** --- **Description:** This problem involves analyzing the forces acting on a vertical rod \( AB \) which is supported by a spring and subjected to a force. Let's break down the diagram and the known values: - There is a vertical rod labeled \( AB \). - A force of 50 N is applied to the rod at point \( A \) (the lower end of the rod) at an angle of 30 degrees above the horizontal. - The spring, characterized by a spring constant \( k = 30 \text{ N/m} \), is attached to point \( B \) (the upper end of the rod) and extends horizontally to a fixed point 2 meters away from the rod. - The vertical distance between points \( A \) and \( B \) on the rod is 1.5 meters. **Key Points and Diagram Elements:** 1. **Vertical Rod (AB):** - The rod is assumed to be rigid and vertical, extending from \( A \) (bottom) to \( B \) (top). - \( A \) is positioned at the base and \( B \) is at the top of the rod. 2. **Applied Force at Point \( A \):** - A force of 50 N acts at point \( A \) forming a 30-degree angle with the horizontal. 3. **Spring Connection at Point \( B \):** - The spring with a constant \( k = 30 \text{ N/m} \) is attached at point \( B \) and stretches horizontally to a fixed point located 2 meters away from the rod. - The depiction of the spring extends from \( B \) horizontally 2 meters away to the anchor point, creating a right triangle with the rod. **Diagram Notations:** - **Force Vector:** The force’s direction and magnitude (50 N at 30 degrees). - **Spring Constant (k):** The value \( k = 30 \text{ N/m} \) is indicated beside the spring. - **Distances:** - Vertical length \( AB = 1.5 \text{ m} \). - Horizontal distance from \( B \) to the fixed end of the spring \( = 2 \text{ m} \). **Objective:** The goal of this problem might be to determine
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