1.om 0.8m 20 0.5 0.5 1.om

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The image shows a diagram of a rectangular block on an inclined plane. Below is a detailed description and transcription:

### Diagram Description:

- The block has a height of 1.0 m and a width of 0.8 m.
- There is a point labeled "G" at the center of the block, representing the center of gravity.
- An arrow labeled "P" is drawn from the top of the block, pointing horizontally to the right, indicating an external force acting on the block.
- The inclined plane is at an angle of 20° with the horizontal.
- The base of the block is positioned such that it has equal widths of 0.5 m on either side of its center, summing to 1.0 m along the inclined plane.
- The height "h" is indicated from the base to the top of the block, vertically.

### Educational Explanation:

This diagram illustrates the concept of forces acting on an object placed on an inclined plane. The point "G" indicates the position of the center of gravity, crucial for analyzing stability and potential tipping. The force "P" could represent any applied force—such as tension, push, or pull—acting on the block. Understanding the distribution of dimensions and forces is essential for calculating the resulting motion or equilibrium state of the block on the inclined plane.
Transcribed Image Text:The image shows a diagram of a rectangular block on an inclined plane. Below is a detailed description and transcription: ### Diagram Description: - The block has a height of 1.0 m and a width of 0.8 m. - There is a point labeled "G" at the center of the block, representing the center of gravity. - An arrow labeled "P" is drawn from the top of the block, pointing horizontally to the right, indicating an external force acting on the block. - The inclined plane is at an angle of 20° with the horizontal. - The base of the block is positioned such that it has equal widths of 0.5 m on either side of its center, summing to 1.0 m along the inclined plane. - The height "h" is indicated from the base to the top of the block, vertically. ### Educational Explanation: This diagram illustrates the concept of forces acting on an object placed on an inclined plane. The point "G" indicates the position of the center of gravity, crucial for analyzing stability and potential tipping. The force "P" could represent any applied force—such as tension, push, or pull—acting on the block. Understanding the distribution of dimensions and forces is essential for calculating the resulting motion or equilibrium state of the block on the inclined plane.
**Problem 4:**

The center of gravity of the 60 kg block is at G. The static coefficient of friction between the block and the inclined surface is 0.30.

a) Compute the frictional force between the block and the inclined plane.

b) Find the smallest force \( P \) for which the block will move up the incline without tipping.

c) Find the largest distance "h" for which the block will move up the incline without tipping.
Transcribed Image Text:**Problem 4:** The center of gravity of the 60 kg block is at G. The static coefficient of friction between the block and the inclined surface is 0.30. a) Compute the frictional force between the block and the inclined plane. b) Find the smallest force \( P \) for which the block will move up the incline without tipping. c) Find the largest distance "h" for which the block will move up the incline without tipping.
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