C B H 1 ft -6 ft- G₂ 2 ft D 6 ft 8 ft The platform assembly has a weight of 250 lb that may be placed at its center of gravity, G₁ for analysis purposes. If it is intended to support a maximum load of 400 lb placed at G2, determine the smallest counter weight W that should be placed at B in order to prevent the platform from tipping over. The reactions at C and D are upwards.
C B H 1 ft -6 ft- G₂ 2 ft D 6 ft 8 ft The platform assembly has a weight of 250 lb that may be placed at its center of gravity, G₁ for analysis purposes. If it is intended to support a maximum load of 400 lb placed at G2, determine the smallest counter weight W that should be placed at B in order to prevent the platform from tipping over. The reactions at C and D are upwards.
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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Transcribed Image Text:**Description:**
The diagram depicts a platform assembly designed for stability analysis. The key features of the diagram are:
- A tall platform structure with a load placed on top labeled as \( G_2 \).
- The platform assembly has its center of gravity denoted as \( G_1 \).
- Measurements provided are:
- The height from the base to \( G_1 \) is 8 feet.
- The additional height to \( G_2 \) is 6 feet, making the total height 14 feet from the base.
- The base of the platform is 6 feet long between points \( C \) and \( D \), with additional 1-foot extensions on either side.
**Textual Explanation:**
The platform assembly has a weight of 250 lb at its center of gravity, \( G_1 \), for analysis purposes. It is intended to support a maximum load of 400 lb placed at \( G_2 \). The task is to determine the smallest counterweight, \( W \), that should be placed at point \( B \) to prevent the platform from tipping over. The reactions at points \( C \) and \( D \) are directed upwards.
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