A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side is ?=0.655 m, the height of the top of the block is ℎ=0.915 m, and the top right corner overhangs a distance ?oh=0.195 m from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.
A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side is ?=0.655 m, the height of the top of the block is ℎ=0.915 m, and the top right corner overhangs a distance ?oh=0.195 m from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.
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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A block of stone is cut so that its cross‑section is a parallelogram. The width of the bottom side is ?=0.655 m, the height of the top of the block is ℎ=0.915 m, and the top right corner overhangs a distance ?oh=0.195 m from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.
![A block of stone is cut so that its cross-section is a parallelogram. The width of the bottom side is \( w = 0.655 \, \text{m} \), the height of the top of the block is \( h = 0.915 \, \text{m} \), and the top right corner overhangs a distance \( x_{oh} = 0.195 \, \text{m} \) from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.
How far can the block be tipped in the clockwise direction, pivoting on its bottom right corner, before it falls over onto its right side? Enter your answer as an angle measured in degrees.
- Clockwise angle: \([ \, ]^\circ\)
How far must the block be tipped in the counterclockwise direction, pivoting on its bottom left corner, before it falls over onto its left side? Enter your answer as an angle measured in degrees.
- Counterclockwise angle: \([ \, ]^\circ\)
**Diagram Explanation:**
The diagram illustrates the parallelogram-shaped block of stone. It shows the width \( w \), height \( h \), and overhang distance \( x_{oh} \). The center of gravity, located at the geometric center, is marked with a circular symbol. The diagram supports understanding of rotation points and gravitational center pivotal for solving the problem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff90e9f76-a8ee-4e86-857e-4cb9f0bb2381%2F0807ba95-2055-4d86-9db9-124fb9665866%2Fgn9enpi_processed.png&w=3840&q=75)
Transcribed Image Text:A block of stone is cut so that its cross-section is a parallelogram. The width of the bottom side is \( w = 0.655 \, \text{m} \), the height of the top of the block is \( h = 0.915 \, \text{m} \), and the top right corner overhangs a distance \( x_{oh} = 0.195 \, \text{m} \) from the bottom corner as shown. Assume that the block is of uniform density, so that the center of gravity of the block is located at the geometric center.
How far can the block be tipped in the clockwise direction, pivoting on its bottom right corner, before it falls over onto its right side? Enter your answer as an angle measured in degrees.
- Clockwise angle: \([ \, ]^\circ\)
How far must the block be tipped in the counterclockwise direction, pivoting on its bottom left corner, before it falls over onto its left side? Enter your answer as an angle measured in degrees.
- Counterclockwise angle: \([ \, ]^\circ\)
**Diagram Explanation:**
The diagram illustrates the parallelogram-shaped block of stone. It shows the width \( w \), height \( h \), and overhang distance \( x_{oh} \). The center of gravity, located at the geometric center, is marked with a circular symbol. The diagram supports understanding of rotation points and gravitational center pivotal for solving the problem.
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