The control rod AC is guided by two pins that slide freely in parallel curved slots of radius 199 mm. The rod has a mass of 9.9 kg, and its mass center is located at point G. Knowing that for the position shown the vertical component of the velocity of Cis 1.23 m/s upward and the vertical component of the acceleration of C is 4.97 m/s² upward, determine the magnitude of the force P. P= | (N) 60° G 60°
The control rod AC is guided by two pins that slide freely in parallel curved slots of radius 199 mm. The rod has a mass of 9.9 kg, and its mass center is located at point G. Knowing that for the position shown the vertical component of the velocity of Cis 1.23 m/s upward and the vertical component of the acceleration of C is 4.97 m/s² upward, determine the magnitude of the force P. P= | (N) 60° G 60°
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 16.19 Modified**
The control rod \( AC \) is guided by two pins that slide freely in parallel curved slots of radius 199 mm. The rod has a mass of 9.9 kg, and its mass center is located at point \( G \). Knowing that for the position shown the vertical component of the velocity of \( C \) is 1.23 m/s upward and the vertical component of the acceleration of \( C \) is 4.97 m/s\(^2\) upward, determine the magnitude of the force \( P \).
\[ P = \, \boxed{\phantom{0000}} \, (\text{N}) \]
**Diagram Explanation:**
The diagram illustrates a mechanism where a rod \( AC \) is positioned horizontally and is supported by two pins that move in curved slots. The following points and dimensions are noted:
- Points \( A \) and \( B \) are where the rod intersects the curved slots.
- The center mass \( G \) is located on the rod, 250 mm from point \( A \).
- Point \( C \) applies an upward force \( P \) and is located 225 mm from point \( B \).
- The angle between the horizontal and the curved slots at points \( A \) and \( B \) is 60 degrees.
The goal is to find the force \( P \) necessary to achieve the described motion of the rod.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F06618011-8508-4544-b767-8d84710b45e9%2Fd9f58305-1b0c-4d5d-aeeb-59a1de6c0b49%2Feqhbay_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 16.19 Modified**
The control rod \( AC \) is guided by two pins that slide freely in parallel curved slots of radius 199 mm. The rod has a mass of 9.9 kg, and its mass center is located at point \( G \). Knowing that for the position shown the vertical component of the velocity of \( C \) is 1.23 m/s upward and the vertical component of the acceleration of \( C \) is 4.97 m/s\(^2\) upward, determine the magnitude of the force \( P \).
\[ P = \, \boxed{\phantom{0000}} \, (\text{N}) \]
**Diagram Explanation:**
The diagram illustrates a mechanism where a rod \( AC \) is positioned horizontally and is supported by two pins that move in curved slots. The following points and dimensions are noted:
- Points \( A \) and \( B \) are where the rod intersects the curved slots.
- The center mass \( G \) is located on the rod, 250 mm from point \( A \).
- Point \( C \) applies an upward force \( P \) and is located 225 mm from point \( B \).
- The angle between the horizontal and the curved slots at points \( A \) and \( B \) is 60 degrees.
The goal is to find the force \( P \) necessary to achieve the described motion of the rod.
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