4. The 10-kg lamp has a center of mass at G. located a. Draw the freebody of the lamp. b. Determine the force in cable BC. c. Determine the horizontal component of the reaction at A. d. Determine the vertical component of the reaction at A.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Problem Statement:

**4.** The 10-kg lamp has a center of mass located at G.

a. Draw the freebody of the lamp.  
b. Determine the force in cable BC.  
c. Determine the horizontal component of the reaction at A.  
d. Determine the vertical component of the reaction at A.

### Diagram Explanation:

The diagram illustrates a lamp supported by a cable and an arm. The key components are:

- **Point A:** The hinge at the base of the arm, attached to the wall.
- **Point B:** The point at which the cable meets the arm.
- **Point C:** The point of attachment of the cable to the wall, directly above point A.
- **'G':** The center of mass of the lamp located at the end of the arm.

### Measurements:

- **Distance from A to B:** 0.4 meters (vertical).
- **Distance from B to G:** 0.5 meters (horizontal).
- **Distance from A to C (vertical):** 0.3 meters.
- **Distance from C to wall (horizontal):** 0.15 meters.

This setup is a common engineering physics problem on calculating forces and reactions at various points within a mechanical system.
Transcribed Image Text:### Problem Statement: **4.** The 10-kg lamp has a center of mass located at G. a. Draw the freebody of the lamp. b. Determine the force in cable BC. c. Determine the horizontal component of the reaction at A. d. Determine the vertical component of the reaction at A. ### Diagram Explanation: The diagram illustrates a lamp supported by a cable and an arm. The key components are: - **Point A:** The hinge at the base of the arm, attached to the wall. - **Point B:** The point at which the cable meets the arm. - **Point C:** The point of attachment of the cable to the wall, directly above point A. - **'G':** The center of mass of the lamp located at the end of the arm. ### Measurements: - **Distance from A to B:** 0.4 meters (vertical). - **Distance from B to G:** 0.5 meters (horizontal). - **Distance from A to C (vertical):** 0.3 meters. - **Distance from C to wall (horizontal):** 0.15 meters. This setup is a common engineering physics problem on calculating forces and reactions at various points within a mechanical system.
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