### Analysis of Forces on a Sandwich Board Sign#### Diagram DescriptionThe diagram displays a sandwich board used for advertising, structured as follows:- Two legs are depicted with a hinge at the top connecting them.- The hinge is located 1.30 meters from the bottom end of each leg.- A chain connects the legs at a point 0.50 meters below the hinge.- Each of the legs is uniformly distributed with its Center of Gravity (CG) marked at the middle.The bottom ends of the legs are positioned 1.10 meters apart on the ground.#### Problem DetailsGiven:- The mass of the sign is **7.20 kg**.Questions:1. Calculate the tension in the chain assuming no friction between the legs and the sidewalk.2. Determine the force exerted by each side on the hinge.#### Solution to Question (a)The tension in the chain can be determined using principles of equilibrium and the distances provided. The calculated tension is:- **Tension in the chain:** \( 19.4238 \ \text{N} \)#### Solution to Question (b)The force exerted by each side on the hinge involves analyzing the torques and forces acting on the structure. The details on how to compute them follow from equilibrium equations, but the problem does not provide explicit results for this part.### Diagram ExplanationThe diagram shows:- **Hinge:** A point at the top where the two legs meet.- **Chain:** Horizontal line marked 0.50 m below the hinge connecting the legs.- **CG (Center of Gravity):** Marked at the center of each leg.- **Measurements:** Vertical and horizontal lengths provided to aid in calculations.- **Uniform Board:** Denotes the uniform mass distribution of the legs.This setup grounds the understanding of the forces and tensions involved in maintaining the stability of the sandwich board sign.

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The sign's mass is 7.20 kg. (a) Calculate the tension in newtons in the chain assuming no friction between the legs and the sidewalk. 19.4238 (b) What force is exerted in newtons by each side on the hinge?

The sign's mass is 7.20 kg. (a) Calculate the tension in newtons in the chain assuming no friction between the legs and the sidewalk. 19.4238 (b) What force is exerted in newtons by each side on the hinge?

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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Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

### Analysis of Forces on a Sandwich Board Sign

#### Diagram Description

The diagram displays a sandwich board used for advertising, structured as follows:
- Two legs are depicted with a hinge at the top connecting them.
- The hinge is located 1.30 meters from the bottom end of each leg.
- A chain connects the legs at a point 0.50 meters below the hinge.
- Each of the legs is uniformly distributed with its Center of Gravity (CG) marked at the middle.

The bottom ends of the legs are positioned 1.10 meters apart on the ground.

#### Problem Details

Given:
- The mass of the sign is **7.20 kg**.

Questions:
1. Calculate the tension in the chain assuming no friction between the legs and the sidewalk.
2. Determine the force exerted by each side on the hinge.

#### Solution to Question (a)

The tension in the chain can be determined using principles of equilibrium and the distances provided. The calculated tension is:

- **Tension in the chain:** \( 19.4238 \ \text{N} \)

#### Solution to Question (b)

The force exerted by each side on the hinge involves analyzing the torques and forces acting on the structure. The details on how to compute them follow from equilibrium equations, but the problem does not provide explicit results for this part.

### Diagram Explanation

The diagram shows:
- **Hinge:** A point at the top where the two legs meet.
- **Chain:** Horizontal line marked 0.50 m below the hinge connecting the legs.
- **CG (Center of Gravity):** Marked at the center of each leg.
- **Measurements:** Vertical and horizontal lengths provided to aid in calculations.
- **Uniform Board:** Denotes the uniform mass distribution of the legs.

This setup grounds the understanding of the forces and tensions involved in maintaining the stability of the sandwich board sign.

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