The uniform rod BC weighs 32.2 lb. The rod is connected to the frame D by a frictionless pin C and a cord AB as shown. Calculate the maximum value of the applied force P for which rod BC will not "rise up". P. B D 3' 3 Smooth

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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The uniform rod BC weighs 32.2 lb. The rod
is connected to the frame D by a frictionless
pin C and a cord AB as shown. Calculate the
maximum value of the applied force P for
which rod BC will not “rise up”.

The problem statement is as follows:

The uniform rod \( BC \) weighs 32.2 lb. The rod is connected to the frame \( D \) by a frictionless pin \( C \) and a cord \( AB \) as shown. Calculate the maximum value of the applied force \( P \) for which rod \( BC \) will not “rise up.”

**Diagram Explanation:**

- The diagram is a mechanical setup comprising a frame \( D \), a rod \( BC \), and a cord \( AB \).
- The rod \( BC \) is set at an angle within the frame \( D \). 
- Point \( B \) is at the bottom of the frame, where the cord \( AB \) connects to the frame at point \( A \) located on the left vertical side of \( D \).
- The rod \( BC \) is pivoted at point \( C \) near the top right corner of the frame.
- The length of the rod \( BC \) is marked as 3 feet.
- A right triangle is shown within the setup with a side ratio of 3:4, implying the angles and dimensions that dictate the setup's geometry.
- An applied force \( P \) is shown acting horizontally to the left at the upper left corner of the frame.
- The surface beneath the frame \( D \) is labeled as "Smooth," indicating negligible friction.

This setup is used to determine the conditions under which the rod does not lift or change position under the influence of the applied force \( P \).
Transcribed Image Text:The problem statement is as follows: The uniform rod \( BC \) weighs 32.2 lb. The rod is connected to the frame \( D \) by a frictionless pin \( C \) and a cord \( AB \) as shown. Calculate the maximum value of the applied force \( P \) for which rod \( BC \) will not “rise up.” **Diagram Explanation:** - The diagram is a mechanical setup comprising a frame \( D \), a rod \( BC \), and a cord \( AB \). - The rod \( BC \) is set at an angle within the frame \( D \). - Point \( B \) is at the bottom of the frame, where the cord \( AB \) connects to the frame at point \( A \) located on the left vertical side of \( D \). - The rod \( BC \) is pivoted at point \( C \) near the top right corner of the frame. - The length of the rod \( BC \) is marked as 3 feet. - A right triangle is shown within the setup with a side ratio of 3:4, implying the angles and dimensions that dictate the setup's geometry. - An applied force \( P \) is shown acting horizontally to the left at the upper left corner of the frame. - The surface beneath the frame \( D \) is labeled as "Smooth," indicating negligible friction. This setup is used to determine the conditions under which the rod does not lift or change position under the influence of the applied force \( P \).
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