The man pushes the 120-lb homogeneous crate with the horizontal force P. Determine the largest distance h for which the crate will slide without tipping. 3 ft 6 ft H = 0.4

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Concept revolves around friction

The image depicts a man pushing a 120-lb homogeneous crate with a horizontal force \( P \). The objective is to determine the largest distance \( h \) from the ground at which the force can be applied such that the crate will slide without tipping over.

**Description:**

- The crate is rectangular in shape with dimensions:
  - Width: 3 ft
  - Height: 6 ft

- The coefficient of static friction (\( \mu_s \)) between the crate and the ground is given as 0.4.

- The force \( P \) is applied at a height \( h \) above the ground.

The problem requires calculating the maximum value of \( h \) that allows the crate to slide under the influence of the force \( P \) without tipping over, considering the dimensions and friction parameters provided.
Transcribed Image Text:The image depicts a man pushing a 120-lb homogeneous crate with a horizontal force \( P \). The objective is to determine the largest distance \( h \) from the ground at which the force can be applied such that the crate will slide without tipping over. **Description:** - The crate is rectangular in shape with dimensions: - Width: 3 ft - Height: 6 ft - The coefficient of static friction (\( \mu_s \)) between the crate and the ground is given as 0.4. - The force \( P \) is applied at a height \( h \) above the ground. The problem requires calculating the maximum value of \( h \) that allows the crate to slide under the influence of the force \( P \) without tipping over, considering the dimensions and friction parameters provided.
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