a. What is the tension in the chain? b. What is the magnitude of the force exerted by the hinge on one side of the ladder?

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
Question
### Physics Problem: Ladder Mechanics

#### Problem Statement:
A stepladder is constructed as shown in the figure. The total mass of the ladder is 10 kg (each side has a mass of 5 kg). There is no friction between the ladder and the floor.

**Questions:**
a. What is the tension in the chain?  
b. What is the magnitude of the force exerted by the hinge on one side of the ladder?

#### Diagram Description:
1. **Structure:** The diagram shows a symmetrical A-frame ladder with a hinge at the top and a chain connecting the two sides for stability.
2. **Measurements:**
   - Height from the floor to the hinge: 1.30 m
   - Vertical distance from the hinge to the chain: 0.50 m
   - Horizontal base width: 1.10 m
3. **Mass Distribution:** 
   - Total mass: 10 kg  
   - Each side mass: 5 kg
   - Center of gravity (CG) indicated on each side.

The ladder is supported by a uniform board at the base, with no friction present between the ladder and the floor. 

**Note:** The center of gravity is located at the midpoint of each ladder side, and the uniform board represents the ground contact area.
Transcribed Image Text:### Physics Problem: Ladder Mechanics #### Problem Statement: A stepladder is constructed as shown in the figure. The total mass of the ladder is 10 kg (each side has a mass of 5 kg). There is no friction between the ladder and the floor. **Questions:** a. What is the tension in the chain? b. What is the magnitude of the force exerted by the hinge on one side of the ladder? #### Diagram Description: 1. **Structure:** The diagram shows a symmetrical A-frame ladder with a hinge at the top and a chain connecting the two sides for stability. 2. **Measurements:** - Height from the floor to the hinge: 1.30 m - Vertical distance from the hinge to the chain: 0.50 m - Horizontal base width: 1.10 m 3. **Mass Distribution:** - Total mass: 10 kg - Each side mass: 5 kg - Center of gravity (CG) indicated on each side. The ladder is supported by a uniform board at the base, with no friction present between the ladder and the floor. **Note:** The center of gravity is located at the midpoint of each ladder side, and the uniform board represents the ground contact area.
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