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 s 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,
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 s 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,
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:This diagram illustrates a rectangular block on an inclined plane. Here is the detailed explanation:
- The inclined plane is angled at 20° from the horizontal.
- The block has a height of 1.0 m and a base width of 0.8 m.
- The length of the block is 1.0 m, parallel to the incline.
- The center of gravity, denoted as G, is marked inside the block.
- A force, P, acts on the block at an angle h from the block's surface.
- There are horizontal measurements of 0.5 m from the block's base to the left and right, indicating the block's position relative to these points along the incline.
This diagram is useful for understanding the mechanics of objects on inclined planes, particularly in calculating stability and forces acting on the block.
Transcribed Image Text:**Problem Statement:**
The center of gravity of the 60 kg block is at point 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.
**Explanation:**
This exercise involves calculating the effects of friction and force on a 60 kg block on an inclined plane. Key factors include the static coefficient of friction and the balance of forces necessary to prevent tipping as the block moves upward.
- **Frictional Force Calculation:** Using the static coefficient of friction (0.30), determine the resistive force opposing motion.
- **Smallest Force P:** Identify the minimum force required to overcome friction and gravitational pull on the incline.
- **Largest Distance "h":** Establish the maximum distance at which the block remains stable without tipping as it moves upwards.
These calculations are foundational in understanding applied physics concepts related to equilibrium, friction, and motion on inclined surfaces.
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