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The 22-lb collar A is released from rest in the position shown and slides with negligible friction up the fixed rod inclined 26° from the horizontal under the action of a constant force P = 36 lb applied to the cable. Calculate the required stiffness k of the spring so that

The 22-lb collar A is released from rest in the position shown and slides with negligible friction up the fixed rod inclined 26° from the horizontal under the action of a constant force P = 36 lb applied to the cable. Calculate the required stiffness k of the spring so that

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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### Problem Statement: A 22-lb collar **A** is released from rest in the position shown and slides with negligible friction up the fixed rod inclined at 26° from the horizontal. This movement occurs under the action of a constant force **P** = 36 lb, which is applied to the cable. Given this information, calculate the required stiffness **k** of the spring so that its maximum deflection equals 5 inches. The position of the small pulley at **B** is fixed. ### Diagram Explanation: - The diagram illustrates a spring-mass system where a collar **A** slides on an inclined rod. - The rod is inclined at an angle of 26° to the horizontal. - The spring is connected to a fixed end at the top of the rod through a small pulley located at point **B**. - The force **P** (36 lb) acts horizontally to pull the collar up the rod. - The collar **A** initially is at a length of 37 inches along the rod from the fixed end. - The maximum deflection of the spring is indicated as 5 inches. ### Measurement Details: - Inclination of the rod: 26°. - Initial position of the collar **A** along the rod: 37 inches. - Maximum deflection of the spring: 5 inches. - Position of point **B** relative to the fixed end of the spring: 28 inches. - Force applied (**P**): 36 lb. - Weight of collar **A**: 22 lb. ### Answer: Calculate the spring stiffness (k) in lb/ft as required by the problem. Input your answer in the space provided below. --- **Answer: k =** ___ lb/ft
Transcribed Image Text:### Problem Statement: A 22-lb collar **A** is released from rest in the position shown and slides with negligible friction up the fixed rod inclined at 26° from the horizontal. This movement occurs under the action of a constant force **P** = 36 lb, which is applied to the cable. Given this information, calculate the required stiffness **k** of the spring so that its maximum deflection equals 5 inches. The position of the small pulley at **B** is fixed. ### Diagram Explanation: - The diagram illustrates a spring-mass system where a collar **A** slides on an inclined rod. - The rod is inclined at an angle of 26° to the horizontal. - The spring is connected to a fixed end at the top of the rod through a small pulley located at point **B**. - The force **P** (36 lb) acts horizontally to pull the collar up the rod. - The collar **A** initially is at a length of 37 inches along the rod from the fixed end. - The maximum deflection of the spring is indicated as 5 inches. ### Measurement Details: - Inclination of the rod: 26°. - Initial position of the collar **A** along the rod: 37 inches. - Maximum deflection of the spring: 5 inches. - Position of point **B** relative to the fixed end of the spring: 28 inches. - Force applied (**P**): 36 lb. - Weight of collar **A**: 22 lb. ### Answer: Calculate the spring stiffness (k) in lb/ft as required by the problem. Input your answer in the space provided below. --- **Answer: k =** ___ lb/ft
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