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If the uniform cabinet has weight of 165 lb, determine the minimum force P that can make the cabinet tip over. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point and proper unit. Take g = 32.2 ft/s². P 4 ft ←1 ft▬▬1 ft→ A 3.5 ft B

If the uniform cabinet has weight of 165 lb, determine the minimum force P that can make the cabinet tip over. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point and proper unit. Take g = 32.2 ft/s². P 4 ft ←1 ft▬▬1 ft→ A 3.5 ft B

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 Description:** A uniform cabinet with a weight of 165 lb needs to be tipped over by determining the minimum force, \( P \), required. Note that the numbers in the problem may change, as they are randomized. Your answer must include one decimal place and proper units. Use \( g = 32.2 \, \text{ft/s}^2 \). **Diagram Explanation:** The diagram includes a person pushing against the cabinet. Key elements: - The cabinet is 2 feet wide, with a vertical line of symmetry at its midpoint. - The cabinet is 7.5 feet tall. - The force \( P \) is applied at a height of 4 feet from the ground. - The center of gravity, \( G \), is marked and is located at mid-height (3.5 feet from the base). - Point \( A \) and point \( B \) are at the base edges of the cabinet. **Objective:** Calculate the minimum force \( P \) necessary to tip the cabinet over. - Consider the moment about point \( A \) as the tipping axis. - Balance the moments around point \( A \) to find \( P \). **Your Answer Section:** Provide the calculated value for \( P \), including one decimal place, and specify the units: - **Answer:** [Answer here] - **Units:** [Units here]
Transcribed Image Text:**Problem Description:** A uniform cabinet with a weight of 165 lb needs to be tipped over by determining the minimum force, \( P \), required. Note that the numbers in the problem may change, as they are randomized. Your answer must include one decimal place and proper units. Use \( g = 32.2 \, \text{ft/s}^2 \). **Diagram Explanation:** The diagram includes a person pushing against the cabinet. Key elements: - The cabinet is 2 feet wide, with a vertical line of symmetry at its midpoint. - The cabinet is 7.5 feet tall. - The force \( P \) is applied at a height of 4 feet from the ground. - The center of gravity, \( G \), is marked and is located at mid-height (3.5 feet from the base). - Point \( A \) and point \( B \) are at the base edges of the cabinet. **Objective:** Calculate the minimum force \( P \) necessary to tip the cabinet over. - Consider the moment about point \( A \) as the tipping axis. - Balance the moments around point \( A \) to find \( P \). **Your Answer Section:** Provide the calculated value for \( P \), including one decimal place, and specify the units: - **Answer:** [Answer here] - **Units:** [Units here]
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